%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN461+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n010.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 : 600s % DateTime : Thu Jul 21 13:53:04 EDT 2022 % Result : Theorem 0.88s 1.07s % Output : Proof 1.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN461+1 : TPTP v8.1.0. Released v2.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n010.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jul 12 06:59:00 EDT 2022 % 0.13/0.34 % CPUTime : % 0.88/1.07 (* PROOF-FOUND *) % 0.88/1.07 % SZS status Theorem % 0.88/1.07 (* BEGIN-PROOF *) % 0.88/1.07 % SZS output start Proof % 0.88/1.07 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a1168))/\((c1_1 (a1168))/\(~(c2_1 (a1168)))))))/\(((~(hskp1))\/((ndr1_0)/\((c1_1 (a1169))/\((~(c2_1 (a1169)))/\(~(c3_1 (a1169)))))))/\(((~(hskp2))\/((ndr1_0)/\((c2_1 (a1172))/\((c3_1 (a1172))/\(~(c0_1 (a1172)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a1174))/\((c1_1 (a1174))/\(~(c3_1 (a1174)))))))/\(((~(hskp4))\/((ndr1_0)/\((c1_1 (a1175))/\((c2_1 (a1175))/\(~(c0_1 (a1175)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a1176))/\((c2_1 (a1176))/\(~(c3_1 (a1176)))))))/\(((~(hskp6))\/((ndr1_0)/\((c1_1 (a1178))/\((c2_1 (a1178))/\(~(c3_1 (a1178)))))))/\(((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a1181))/\((c3_1 (a1181))/\(~(c2_1 (a1181)))))))/\(((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))))/\(((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))))/\(((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))))/\(((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))))/\(((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))))/\(((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205)))))))/\(((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))))/\(((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))))/\(((~(hskp24))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c1_1 (a1232)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp2)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(hskp4)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp8)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp9)\/(hskp25)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36))))))))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))))/\(((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))))/\(((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp5)\/(hskp4)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp13)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))))/\(((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61)))))))/\(((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0))/\(((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11)))/\(((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((hskp0)\/(hskp16)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36))))))))/\(((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp21)\/(hskp12)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))\/(hskp11)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))\/(hskp13)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp9)\/(hskp18)))/\(((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23)))/\(((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/((hskp26)\/(hskp8)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp11)\/(hskp15)))/\(((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2)))/\(((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10)))/\(((hskp26)\/((hskp17)\/(hskp24)))/\(((hskp0)\/((hskp1)\/(hskp14)))/\(((hskp28)\/(hskp8))/\(((hskp17)\/((hskp13)\/(hskp2)))/\(((hskp17)\/((hskp1)\/(hskp16)))/\(((hskp6)\/((hskp21)\/(hskp14)))/\((hskp8)\/((hskp21)\/(hskp19)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.88/1.07 Proof. % 0.88/1.07 assert (zenon_L1_ : (~(hskp0)) -> (hskp0) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1 zenon_H2. % 0.88/1.07 exact (zenon_H1 zenon_H2). % 0.88/1.07 (* end of lemma zenon_L1_ *) % 0.88/1.07 assert (zenon_L2_ : (~(hskp1)) -> (hskp1) -> False). % 0.88/1.07 do 0 intro. intros zenon_H3 zenon_H4. % 0.88/1.07 exact (zenon_H3 zenon_H4). % 0.88/1.07 (* end of lemma zenon_L2_ *) % 0.88/1.07 assert (zenon_L3_ : (~(hskp14)) -> (hskp14) -> False). % 0.88/1.07 do 0 intro. intros zenon_H5 zenon_H6. % 0.88/1.07 exact (zenon_H5 zenon_H6). % 0.88/1.07 (* end of lemma zenon_L3_ *) % 0.88/1.07 assert (zenon_L4_ : ((hskp0)\/((hskp1)\/(hskp14))) -> (~(hskp0)) -> (~(hskp1)) -> (~(hskp14)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.88/1.07 exact (zenon_H1 zenon_H2). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.88/1.07 exact (zenon_H3 zenon_H4). % 0.88/1.07 exact (zenon_H5 zenon_H6). % 0.88/1.07 (* end of lemma zenon_L4_ *) % 0.88/1.07 assert (zenon_L5_ : (~(hskp17)) -> (hskp17) -> False). % 0.88/1.07 do 0 intro. intros zenon_H9 zenon_Ha. % 0.88/1.07 exact (zenon_H9 zenon_Ha). % 0.88/1.07 (* end of lemma zenon_L5_ *) % 0.88/1.07 assert (zenon_L6_ : (~(hskp13)) -> (hskp13) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hb zenon_Hc. % 0.88/1.07 exact (zenon_Hb zenon_Hc). % 0.88/1.07 (* end of lemma zenon_L6_ *) % 0.88/1.07 assert (zenon_L7_ : (~(hskp2)) -> (hskp2) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hd zenon_He. % 0.88/1.07 exact (zenon_Hd zenon_He). % 0.88/1.07 (* end of lemma zenon_L7_ *) % 0.88/1.07 assert (zenon_L8_ : ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp17)) -> (~(hskp13)) -> (~(hskp2)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ]. % 0.88/1.07 exact (zenon_H9 zenon_Ha). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 0.88/1.07 exact (zenon_Hb zenon_Hc). % 0.88/1.07 exact (zenon_Hd zenon_He). % 0.88/1.07 (* end of lemma zenon_L8_ *) % 0.88/1.07 assert (zenon_L9_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.88/1.07 do 0 intro. intros zenon_H11 zenon_H12. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 (* end of lemma zenon_L9_ *) % 0.88/1.07 assert (zenon_L10_ : (forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24)))))) -> (ndr1_0) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H13 zenon_H12 zenon_H14 zenon_H15 zenon_H16. % 0.88/1.07 generalize (zenon_H13 (a1200)). zenon_intro zenon_H17. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H11 | zenon_intro zenon_H18 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.88/1.07 exact (zenon_H14 zenon_H1a). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.88/1.07 exact (zenon_H15 zenon_H1c). % 0.88/1.07 exact (zenon_H1b zenon_H16). % 0.88/1.07 (* end of lemma zenon_L10_ *) % 0.88/1.07 assert (zenon_L11_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1d zenon_H1e zenon_H1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2 ]. % 0.88/1.07 apply (zenon_L10_); trivial. % 0.88/1.07 exact (zenon_H1 zenon_H2). % 0.88/1.07 (* end of lemma zenon_L11_ *) % 0.88/1.07 assert (zenon_L12_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H21 zenon_H1e zenon_H1 zenon_Hb zenon_Hd zenon_Hf. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.07 apply (zenon_L8_); trivial. % 0.88/1.07 apply (zenon_L11_); trivial. % 0.88/1.07 (* end of lemma zenon_L12_ *) % 0.88/1.07 assert (zenon_L13_ : (~(hskp8)) -> (hskp8) -> False). % 0.88/1.07 do 0 intro. intros zenon_H22 zenon_H23. % 0.88/1.07 exact (zenon_H22 zenon_H23). % 0.88/1.07 (* end of lemma zenon_L13_ *) % 0.88/1.07 assert (zenon_L14_ : ((hskp28)\/(hskp8)) -> (~(hskp8)) -> (~(hskp28)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H24 zenon_H22 zenon_H25. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H23 ]. % 0.88/1.07 exact (zenon_H25 zenon_H26). % 0.88/1.07 exact (zenon_H22 zenon_H23). % 0.88/1.07 (* end of lemma zenon_L14_ *) % 0.88/1.07 assert (zenon_L15_ : (forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (c0_1 (a1236)) -> (c2_1 (a1236)) -> (c3_1 (a1236)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H27 zenon_H12 zenon_H28 zenon_H29 zenon_H2a. % 0.88/1.07 generalize (zenon_H27 (a1236)). zenon_intro zenon_H2b. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.88/1.07 exact (zenon_H2e zenon_H28). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.88/1.07 exact (zenon_H30 zenon_H29). % 0.88/1.07 exact (zenon_H2f zenon_H2a). % 0.88/1.07 (* end of lemma zenon_L15_ *) % 0.88/1.07 assert (zenon_L16_ : (~(hskp22)) -> (hskp22) -> False). % 0.88/1.07 do 0 intro. intros zenon_H31 zenon_H32. % 0.88/1.07 exact (zenon_H31 zenon_H32). % 0.88/1.07 (* end of lemma zenon_L16_ *) % 0.88/1.07 assert (zenon_L17_ : ((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp22)) -> (~(hskp2)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H33 zenon_H34 zenon_H31 zenon_Hd. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H12. zenon_intro zenon_H35. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H28. zenon_intro zenon_H36. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H27 | zenon_intro zenon_H37 ]. % 0.88/1.07 apply (zenon_L15_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H32 | zenon_intro zenon_He ]. % 0.88/1.07 exact (zenon_H31 zenon_H32). % 0.88/1.07 exact (zenon_Hd zenon_He). % 0.88/1.07 (* end of lemma zenon_L17_ *) % 0.88/1.07 assert (zenon_L18_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp22)) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H38 zenon_H34 zenon_Hd zenon_H31 zenon_H22 zenon_H24. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H25 | zenon_intro zenon_H33 ]. % 0.88/1.07 apply (zenon_L14_); trivial. % 0.88/1.07 apply (zenon_L17_); trivial. % 0.88/1.07 (* end of lemma zenon_L18_ *) % 0.88/1.07 assert (zenon_L19_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H39 zenon_H12 zenon_H3a zenon_H3b zenon_H3c. % 0.88/1.07 generalize (zenon_H39 (a1192)). zenon_intro zenon_H3d. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H11 | zenon_intro zenon_H3e ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.88/1.07 exact (zenon_H3a zenon_H40). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.88/1.07 exact (zenon_H3b zenon_H42). % 0.88/1.07 exact (zenon_H41 zenon_H3c). % 0.88/1.07 (* end of lemma zenon_L19_ *) % 0.88/1.07 assert (zenon_L20_ : (forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24)))))) -> (ndr1_0) -> (~(c1_1 (a1211))) -> (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))) -> (c0_1 (a1211)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H13 zenon_H12 zenon_H43 zenon_H44 zenon_H45. % 0.88/1.07 generalize (zenon_H13 (a1211)). zenon_intro zenon_H46. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H11 | zenon_intro zenon_H47 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ]. % 0.88/1.07 exact (zenon_H43 zenon_H49). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ]. % 0.88/1.07 generalize (zenon_H44 (a1211)). zenon_intro zenon_H4c. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H4c); [ zenon_intro zenon_H11 | zenon_intro zenon_H4d ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H49 | zenon_intro zenon_H4e ]. % 0.88/1.07 exact (zenon_H43 zenon_H49). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H4a | zenon_intro zenon_H4f ]. % 0.88/1.07 exact (zenon_H4a zenon_H45). % 0.88/1.07 exact (zenon_H4f zenon_H4b). % 0.88/1.07 exact (zenon_H4a zenon_H45). % 0.88/1.07 (* end of lemma zenon_L20_ *) % 0.88/1.07 assert (zenon_L21_ : (~(hskp27)) -> (hskp27) -> False). % 0.88/1.07 do 0 intro. intros zenon_H50 zenon_H51. % 0.88/1.07 exact (zenon_H50 zenon_H51). % 0.88/1.07 (* end of lemma zenon_L21_ *) % 0.88/1.07 assert (zenon_L22_ : (~(hskp18)) -> (hskp18) -> False). % 0.88/1.07 do 0 intro. intros zenon_H52 zenon_H53. % 0.88/1.07 exact (zenon_H52 zenon_H53). % 0.88/1.07 (* end of lemma zenon_L22_ *) % 0.88/1.07 assert (zenon_L23_ : ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24)))))) -> (~(hskp27)) -> (~(hskp18)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H54 zenon_H45 zenon_H43 zenon_H12 zenon_H13 zenon_H50 zenon_H52. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H44 | zenon_intro zenon_H55 ]. % 0.88/1.07 apply (zenon_L20_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H51 | zenon_intro zenon_H53 ]. % 0.88/1.07 exact (zenon_H50 zenon_H51). % 0.88/1.07 exact (zenon_H52 zenon_H53). % 0.88/1.07 (* end of lemma zenon_L23_ *) % 0.88/1.07 assert (zenon_L24_ : (~(hskp7)) -> (hskp7) -> False). % 0.88/1.07 do 0 intro. intros zenon_H56 zenon_H57. % 0.88/1.07 exact (zenon_H56 zenon_H57). % 0.88/1.07 (* end of lemma zenon_L24_ *) % 0.88/1.07 assert (zenon_L25_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (c1_1 (a1192)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (~(hskp18)) -> (~(hskp27)) -> (ndr1_0) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp7)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H58 zenon_H3c zenon_H3b zenon_H3a zenon_H52 zenon_H50 zenon_H12 zenon_H43 zenon_H45 zenon_H54 zenon_H56. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.07 apply (zenon_L19_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.07 apply (zenon_L23_); trivial. % 0.88/1.07 exact (zenon_H56 zenon_H57). % 0.88/1.07 (* end of lemma zenon_L25_ *) % 0.88/1.07 assert (zenon_L26_ : (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (c3_1 (a1211)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H5a zenon_H12 zenon_H43 zenon_H45 zenon_H5b. % 0.88/1.07 generalize (zenon_H5a (a1211)). zenon_intro zenon_H5c. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H5c); [ zenon_intro zenon_H11 | zenon_intro zenon_H5d ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H49 | zenon_intro zenon_H5e ]. % 0.88/1.07 exact (zenon_H43 zenon_H49). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H5f ]. % 0.88/1.07 exact (zenon_H4a zenon_H45). % 0.88/1.07 exact (zenon_H5f zenon_H5b). % 0.88/1.07 (* end of lemma zenon_L26_ *) % 0.88/1.07 assert (zenon_L27_ : (forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c2_1 (a1192))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H60 zenon_H12 zenon_H3b zenon_H61 zenon_H3a zenon_H3c. % 0.88/1.07 generalize (zenon_H60 (a1192)). zenon_intro zenon_H62. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H62); [ zenon_intro zenon_H11 | zenon_intro zenon_H63 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H42 | zenon_intro zenon_H64 ]. % 0.88/1.07 exact (zenon_H3b zenon_H42). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H65 | zenon_intro zenon_H41 ]. % 0.88/1.07 generalize (zenon_H61 (a1192)). zenon_intro zenon_H66. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H66); [ zenon_intro zenon_H11 | zenon_intro zenon_H67 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H40 | zenon_intro zenon_H68 ]. % 0.88/1.07 exact (zenon_H3a zenon_H40). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H42 | zenon_intro zenon_H69 ]. % 0.88/1.07 exact (zenon_H3b zenon_H42). % 0.88/1.07 exact (zenon_H69 zenon_H65). % 0.88/1.07 exact (zenon_H41 zenon_H3c). % 0.88/1.07 (* end of lemma zenon_L27_ *) % 0.88/1.07 assert (zenon_L28_ : (forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))) -> (ndr1_0) -> (c0_1 (a1201)) -> (c1_1 (a1201)) -> (c2_1 (a1201)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H6a zenon_H12 zenon_H6b zenon_H6c zenon_H6d. % 0.88/1.07 generalize (zenon_H6a (a1201)). zenon_intro zenon_H6e. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H6e); [ zenon_intro zenon_H11 | zenon_intro zenon_H6f ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H71 | zenon_intro zenon_H70 ]. % 0.88/1.07 exact (zenon_H71 zenon_H6b). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 0.88/1.07 exact (zenon_H73 zenon_H6c). % 0.88/1.07 exact (zenon_H72 zenon_H6d). % 0.88/1.07 (* end of lemma zenon_L28_ *) % 0.88/1.07 assert (zenon_L29_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c3_1 (a1211)) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a1192))) -> (ndr1_0) -> (c0_1 (a1201)) -> (c1_1 (a1201)) -> (c2_1 (a1201)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H74 zenon_H5b zenon_H45 zenon_H43 zenon_H3c zenon_H3a zenon_H61 zenon_H3b zenon_H12 zenon_H6b zenon_H6c zenon_H6d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H5a | zenon_intro zenon_H75 ]. % 0.88/1.07 apply (zenon_L26_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H6a ]. % 0.88/1.07 apply (zenon_L27_); trivial. % 0.88/1.07 apply (zenon_L28_); trivial. % 0.88/1.07 (* end of lemma zenon_L29_ *) % 0.88/1.07 assert (zenon_L30_ : ((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp1)) -> (~(c1_1 (a1211))) -> (c3_1 (a1211)) -> (c0_1 (a1211)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> (~(hskp7)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H76 zenon_H58 zenon_H3 zenon_H43 zenon_H5b zenon_H45 zenon_H74 zenon_H3c zenon_H3a zenon_H3b zenon_H77 zenon_H56. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H12. zenon_intro zenon_H78. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H6b. zenon_intro zenon_H79. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H6c. zenon_intro zenon_H6d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.07 apply (zenon_L19_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H61 | zenon_intro zenon_H7a ]. % 0.88/1.07 apply (zenon_L29_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7b | zenon_intro zenon_H4 ]. % 0.88/1.07 generalize (zenon_H13 (a1211)). zenon_intro zenon_H46. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H11 | zenon_intro zenon_H47 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ]. % 0.88/1.07 exact (zenon_H43 zenon_H49). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ]. % 0.88/1.07 generalize (zenon_H7b (a1211)). zenon_intro zenon_H7c. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_H11 | zenon_intro zenon_H7d ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H49 | zenon_intro zenon_H7e ]. % 0.88/1.07 exact (zenon_H43 zenon_H49). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H4f | zenon_intro zenon_H5f ]. % 0.88/1.07 exact (zenon_H4f zenon_H4b). % 0.88/1.07 exact (zenon_H5f zenon_H5b). % 0.88/1.07 exact (zenon_H4a zenon_H45). % 0.88/1.07 exact (zenon_H3 zenon_H4). % 0.88/1.07 exact (zenon_H56 zenon_H57). % 0.88/1.07 (* end of lemma zenon_L30_ *) % 0.88/1.07 assert (zenon_L31_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp18)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H7f zenon_H80 zenon_H74 zenon_H3 zenon_H77 zenon_H3a zenon_H3b zenon_H3c zenon_H54 zenon_H52 zenon_H56 zenon_H58. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.07 apply (zenon_L25_); trivial. % 0.88/1.07 apply (zenon_L30_); trivial. % 0.88/1.07 (* end of lemma zenon_L31_ *) % 0.88/1.07 assert (zenon_L32_ : (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(c0_1 (a1202))) -> (c1_1 (a1202)) -> (c3_1 (a1202)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H83 zenon_H12 zenon_H84 zenon_H85 zenon_H86. % 0.88/1.07 generalize (zenon_H83 (a1202)). zenon_intro zenon_H87. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H87); [ zenon_intro zenon_H11 | zenon_intro zenon_H88 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ]. % 0.88/1.07 exact (zenon_H84 zenon_H8a). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8c | zenon_intro zenon_H8b ]. % 0.88/1.07 exact (zenon_H8c zenon_H85). % 0.88/1.07 exact (zenon_H8b zenon_H86). % 0.88/1.07 (* end of lemma zenon_L32_ *) % 0.88/1.07 assert (zenon_L33_ : (~(hskp12)) -> (hskp12) -> False). % 0.88/1.07 do 0 intro. intros zenon_H8d zenon_H8e. % 0.88/1.07 exact (zenon_H8d zenon_H8e). % 0.88/1.07 (* end of lemma zenon_L33_ *) % 0.88/1.07 assert (zenon_L34_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c3_1 (a1202)) -> (c1_1 (a1202)) -> (~(c0_1 (a1202))) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24)))))) -> (~(hskp12)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H8f zenon_H86 zenon_H85 zenon_H84 zenon_H45 zenon_H43 zenon_H12 zenon_H13 zenon_H8d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.07 apply (zenon_L32_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.07 apply (zenon_L20_); trivial. % 0.88/1.07 exact (zenon_H8d zenon_H8e). % 0.88/1.07 (* end of lemma zenon_L34_ *) % 0.88/1.07 assert (zenon_L35_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (c1_1 (a1192)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (~(hskp12)) -> (~(c0_1 (a1202))) -> (c1_1 (a1202)) -> (c3_1 (a1202)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp7)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H7f zenon_H58 zenon_H3c zenon_H3b zenon_H3a zenon_H8d zenon_H84 zenon_H85 zenon_H86 zenon_H8f zenon_H56. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.07 apply (zenon_L19_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.07 apply (zenon_L34_); trivial. % 0.88/1.07 exact (zenon_H56 zenon_H57). % 0.88/1.07 (* end of lemma zenon_L35_ *) % 0.88/1.07 assert (zenon_L36_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c1_1 (a1192)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H91 zenon_H92 zenon_H58 zenon_H56 zenon_H8d zenon_H8f zenon_H3c zenon_H3b zenon_H3a zenon_H24 zenon_H22 zenon_Hd zenon_H34 zenon_H38. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.07 apply (zenon_L18_); trivial. % 0.88/1.07 apply (zenon_L35_); trivial. % 0.88/1.07 (* end of lemma zenon_L36_ *) % 0.88/1.07 assert (zenon_L37_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c1_1 (a1192)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H95 zenon_H8d zenon_H8f zenon_H38 zenon_H34 zenon_Hd zenon_H22 zenon_H24 zenon_H58 zenon_H56 zenon_H54 zenon_H3c zenon_H3b zenon_H3a zenon_H77 zenon_H3 zenon_H74 zenon_H80 zenon_H92. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.07 apply (zenon_L18_); trivial. % 0.88/1.07 apply (zenon_L31_); trivial. % 0.88/1.07 apply (zenon_L36_); trivial. % 0.88/1.07 (* end of lemma zenon_L37_ *) % 0.88/1.07 assert (zenon_L38_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H96 zenon_H95 zenon_H8d zenon_H8f zenon_H38 zenon_H34 zenon_H22 zenon_H24 zenon_H58 zenon_H56 zenon_H54 zenon_H77 zenon_H3 zenon_H74 zenon_H80 zenon_H92 zenon_Hf zenon_Hd zenon_H1 zenon_H1e zenon_H21. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.07 apply (zenon_L12_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.07 apply (zenon_L37_); trivial. % 0.88/1.07 (* end of lemma zenon_L38_ *) % 0.88/1.07 assert (zenon_L39_ : (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H9a zenon_H12 zenon_H39 zenon_H9b zenon_H9c zenon_H9d. % 0.88/1.07 generalize (zenon_H9a (a1187)). zenon_intro zenon_H9e. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H9e); [ zenon_intro zenon_H11 | zenon_intro zenon_H9f ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha0 ]. % 0.88/1.07 generalize (zenon_H39 (a1187)). zenon_intro zenon_Ha2. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_Ha2); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha3 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha4 ]. % 0.88/1.07 exact (zenon_H9b zenon_Ha5). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha6 ]. % 0.88/1.07 exact (zenon_H9c zenon_Ha7). % 0.88/1.07 exact (zenon_Ha6 zenon_Ha1). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 0.88/1.07 exact (zenon_H9c zenon_Ha7). % 0.88/1.07 exact (zenon_H9d zenon_Ha8). % 0.88/1.07 (* end of lemma zenon_L39_ *) % 0.88/1.07 assert (zenon_L40_ : (~(hskp15)) -> (hskp15) -> False). % 0.88/1.07 do 0 intro. intros zenon_Ha9 zenon_Haa. % 0.88/1.07 exact (zenon_Ha9 zenon_Haa). % 0.88/1.07 (* end of lemma zenon_L40_ *) % 0.88/1.07 assert (zenon_L41_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp15)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hab zenon_H9d zenon_H9c zenon_H9b zenon_H39 zenon_H12 zenon_H5 zenon_Ha9. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H9a | zenon_intro zenon_Hac ]. % 0.88/1.07 apply (zenon_L39_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H6 | zenon_intro zenon_Haa ]. % 0.88/1.07 exact (zenon_H5 zenon_H6). % 0.88/1.07 exact (zenon_Ha9 zenon_Haa). % 0.88/1.07 (* end of lemma zenon_L41_ *) % 0.88/1.07 assert (zenon_L42_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp15)) -> (~(hskp14)) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp7)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1d zenon_H58 zenon_Ha9 zenon_H5 zenon_H9b zenon_H9c zenon_H9d zenon_Hab zenon_H56. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.07 apply (zenon_L41_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.07 apply (zenon_L10_); trivial. % 0.88/1.07 exact (zenon_H56 zenon_H57). % 0.88/1.07 (* end of lemma zenon_L42_ *) % 0.88/1.07 assert (zenon_L43_ : (forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49)))))) -> (ndr1_0) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Had zenon_H12 zenon_Hae zenon_Haf zenon_Hb0. % 0.88/1.07 generalize (zenon_Had (a1195)). zenon_intro zenon_Hb1. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_Hb1); [ zenon_intro zenon_H11 | zenon_intro zenon_Hb2 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ]. % 0.88/1.07 exact (zenon_Hae zenon_Hb4). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ]. % 0.88/1.07 exact (zenon_Haf zenon_Hb6). % 0.88/1.07 exact (zenon_Hb5 zenon_Hb0). % 0.88/1.07 (* end of lemma zenon_L43_ *) % 0.88/1.07 assert (zenon_L44_ : (~(hskp26)) -> (hskp26) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hb7 zenon_Hb8. % 0.88/1.07 exact (zenon_Hb7 zenon_Hb8). % 0.88/1.07 (* end of lemma zenon_L44_ *) % 0.88/1.07 assert (zenon_L45_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61)))))) -> (ndr1_0) -> (c0_1 (a1190)) -> (c1_1 (a1190)) -> (c3_1 (a1190)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hb9 zenon_H12 zenon_Hba zenon_Hbb zenon_Hbc. % 0.88/1.07 generalize (zenon_Hb9 (a1190)). zenon_intro zenon_Hbd. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_Hbd); [ zenon_intro zenon_H11 | zenon_intro zenon_Hbe ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ]. % 0.88/1.07 exact (zenon_Hc0 zenon_Hba). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hc1 ]. % 0.88/1.07 exact (zenon_Hc2 zenon_Hbb). % 0.88/1.07 exact (zenon_Hc1 zenon_Hbc). % 0.88/1.07 (* end of lemma zenon_L45_ *) % 0.88/1.07 assert (zenon_L46_ : ((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hc3 zenon_Hc4 zenon_H16 zenon_H15 zenon_H14. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H12. zenon_intro zenon_Hc5. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H13 | zenon_intro zenon_Hb9 ]. % 0.88/1.07 apply (zenon_L10_); trivial. % 0.88/1.07 apply (zenon_L45_); trivial. % 0.88/1.07 (* end of lemma zenon_L46_ *) % 0.88/1.07 assert (zenon_L47_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1d zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_Hb0 zenon_Haf zenon_Hae zenon_H9d zenon_H9c zenon_H9b zenon_H56 zenon_H58. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc3 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H9a | zenon_intro zenon_Hc9 ]. % 0.88/1.07 apply (zenon_L39_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Had | zenon_intro zenon_Hb8 ]. % 0.88/1.07 apply (zenon_L43_); trivial. % 0.88/1.07 exact (zenon_Hb7 zenon_Hb8). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.07 apply (zenon_L10_); trivial. % 0.88/1.07 exact (zenon_H56 zenon_H57). % 0.88/1.07 apply (zenon_L46_); trivial. % 0.88/1.07 (* end of lemma zenon_L47_ *) % 0.88/1.07 assert (zenon_L48_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hca zenon_H21 zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_H9d zenon_H9c zenon_H9b zenon_H56 zenon_H58 zenon_Hb zenon_Hd zenon_Hf. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.07 apply (zenon_L8_); trivial. % 0.88/1.07 apply (zenon_L47_); trivial. % 0.88/1.07 (* end of lemma zenon_L48_ *) % 0.88/1.07 assert (zenon_L49_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp14)) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hcd zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_Hf zenon_Hd zenon_Hb zenon_Hab zenon_H5 zenon_H9d zenon_H9c zenon_H9b zenon_H56 zenon_H58 zenon_H21. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.07 apply (zenon_L8_); trivial. % 0.88/1.07 apply (zenon_L42_); trivial. % 0.88/1.07 apply (zenon_L48_); trivial. % 0.88/1.07 (* end of lemma zenon_L49_ *) % 0.88/1.07 assert (zenon_L50_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hce zenon_H12 zenon_Hcf zenon_Hd0 zenon_Hd1. % 0.88/1.07 generalize (zenon_Hce (a1194)). zenon_intro zenon_Hd2. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_Hd2); [ zenon_intro zenon_H11 | zenon_intro zenon_Hd3 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd4 ]. % 0.88/1.07 exact (zenon_Hcf zenon_Hd5). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd6 ]. % 0.88/1.07 exact (zenon_Hd0 zenon_Hd7). % 0.88/1.07 exact (zenon_Hd6 zenon_Hd1). % 0.88/1.07 (* end of lemma zenon_L50_ *) % 0.88/1.07 assert (zenon_L51_ : (~(hskp5)) -> (hskp5) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hd8 zenon_Hd9. % 0.88/1.07 exact (zenon_Hd8 zenon_Hd9). % 0.88/1.07 (* end of lemma zenon_L51_ *) % 0.88/1.07 assert (zenon_L52_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (~(hskp7)) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp5)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1d zenon_Hda zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H56 zenon_H9b zenon_H9c zenon_H9d zenon_H58 zenon_Hd8. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hce | zenon_intro zenon_Hdb ]. % 0.88/1.07 apply (zenon_L50_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H9a | zenon_intro zenon_Hd9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.07 apply (zenon_L39_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.07 apply (zenon_L10_); trivial. % 0.88/1.07 exact (zenon_H56 zenon_H57). % 0.88/1.07 exact (zenon_Hd8 zenon_Hd9). % 0.88/1.07 (* end of lemma zenon_L52_ *) % 0.88/1.07 assert (zenon_L53_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hdc zenon_Hda zenon_Hd8 zenon_H21 zenon_H58 zenon_H56 zenon_H9b zenon_H9c zenon_H9d zenon_Hab zenon_Hb zenon_Hd zenon_Hf zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_Hcd. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.07 apply (zenon_L49_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.07 apply (zenon_L8_); trivial. % 0.88/1.07 apply (zenon_L52_); trivial. % 0.88/1.07 (* end of lemma zenon_L53_ *) % 0.88/1.07 assert (zenon_L54_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19))))) -> (ndr1_0) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> False). % 0.88/1.07 do 0 intro. intros zenon_He0 zenon_H12 zenon_H9b zenon_H9c zenon_H9d. % 0.88/1.07 generalize (zenon_He0 (a1187)). zenon_intro zenon_He1. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_He1); [ zenon_intro zenon_H11 | zenon_intro zenon_He2 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha0 ]. % 0.88/1.07 exact (zenon_H9b zenon_Ha5). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 0.88/1.07 exact (zenon_H9c zenon_Ha7). % 0.88/1.07 exact (zenon_H9d zenon_Ha8). % 0.88/1.07 (* end of lemma zenon_L54_ *) % 0.88/1.07 assert (zenon_L55_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (c1_1 (a1192)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c0_1 (a1211)) -> (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))) -> (~(c1_1 (a1211))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H58 zenon_H3c zenon_H3b zenon_H3a zenon_H45 zenon_H44 zenon_H43 zenon_H12 zenon_H56. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.07 apply (zenon_L19_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.07 apply (zenon_L20_); trivial. % 0.88/1.07 exact (zenon_H56 zenon_H57). % 0.88/1.07 (* end of lemma zenon_L55_ *) % 0.88/1.07 assert (zenon_L56_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (~(hskp7)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H7f zenon_He3 zenon_H9d zenon_H9c zenon_H9b zenon_H56 zenon_H3a zenon_H3b zenon_H3c zenon_H58. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He0 | zenon_intro zenon_He4 ]. % 0.88/1.07 apply (zenon_L54_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H44 | zenon_intro zenon_H5a ]. % 0.88/1.07 apply (zenon_L55_); trivial. % 0.88/1.07 apply (zenon_L26_); trivial. % 0.88/1.07 (* end of lemma zenon_L56_ *) % 0.88/1.07 assert (zenon_L57_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H97 zenon_H92 zenon_He3 zenon_H56 zenon_H58 zenon_H9d zenon_H9c zenon_H9b zenon_H24 zenon_H22 zenon_Hd zenon_H34 zenon_H38. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.07 apply (zenon_L18_); trivial. % 0.88/1.07 apply (zenon_L56_); trivial. % 0.88/1.07 (* end of lemma zenon_L57_ *) % 0.88/1.07 assert (zenon_L58_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H96 zenon_H92 zenon_He3 zenon_H24 zenon_H22 zenon_H34 zenon_H38 zenon_Hcd zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_Hf zenon_Hd zenon_Hab zenon_H9d zenon_H9c zenon_H9b zenon_H56 zenon_H58 zenon_H21 zenon_Hd8 zenon_Hda zenon_Hdc. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.07 apply (zenon_L53_); trivial. % 0.88/1.07 apply (zenon_L57_); trivial. % 0.88/1.07 (* end of lemma zenon_L58_ *) % 0.88/1.07 assert (zenon_L59_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (ndr1_0) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> False). % 0.88/1.07 do 0 intro. intros zenon_He5 zenon_H12 zenon_He6 zenon_He7 zenon_He8. % 0.88/1.07 generalize (zenon_He5 (a1180)). zenon_intro zenon_He9. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_He9); [ zenon_intro zenon_H11 | zenon_intro zenon_Hea ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hec | zenon_intro zenon_Heb ]. % 0.88/1.07 exact (zenon_He6 zenon_Hec). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hee | zenon_intro zenon_Hed ]. % 0.88/1.07 exact (zenon_He7 zenon_Hee). % 0.88/1.07 exact (zenon_Hed zenon_He8). % 0.88/1.07 (* end of lemma zenon_L59_ *) % 0.88/1.07 assert (zenon_L60_ : (~(hskp19)) -> (hskp19) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hef zenon_Hf0. % 0.88/1.07 exact (zenon_Hef zenon_Hf0). % 0.88/1.07 (* end of lemma zenon_L60_ *) % 0.88/1.07 assert (zenon_L61_ : (~(hskp23)) -> (hskp23) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hf1 zenon_Hf2. % 0.88/1.07 exact (zenon_Hf1 zenon_Hf2). % 0.88/1.07 (* end of lemma zenon_L61_ *) % 0.88/1.07 assert (zenon_L62_ : ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1192)) -> (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33)))))) -> (~(c2_1 (a1192))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp23)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hf3 zenon_H3c zenon_Hf4 zenon_H3b zenon_H12 zenon_Hef zenon_Hf1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf5 ]. % 0.88/1.07 generalize (zenon_H60 (a1192)). zenon_intro zenon_H62. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H62); [ zenon_intro zenon_H11 | zenon_intro zenon_H63 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H42 | zenon_intro zenon_H64 ]. % 0.88/1.07 exact (zenon_H3b zenon_H42). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H65 | zenon_intro zenon_H41 ]. % 0.88/1.07 generalize (zenon_Hf4 (a1192)). zenon_intro zenon_Hf6. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_Hf6); [ zenon_intro zenon_H11 | zenon_intro zenon_Hf7 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf8 ]. % 0.88/1.07 exact (zenon_H3b zenon_H42). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_H69 ]. % 0.88/1.07 exact (zenon_H41 zenon_H3c). % 0.88/1.07 exact (zenon_H69 zenon_H65). % 0.88/1.07 exact (zenon_H41 zenon_H3c). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf2 ]. % 0.88/1.07 exact (zenon_Hef zenon_Hf0). % 0.88/1.07 exact (zenon_Hf1 zenon_Hf2). % 0.88/1.07 (* end of lemma zenon_L62_ *) % 0.88/1.07 assert (zenon_L63_ : (~(hskp3)) -> (hskp3) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hf9 zenon_Hfa. % 0.88/1.07 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.07 (* end of lemma zenon_L63_ *) % 0.88/1.07 assert (zenon_L64_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp23)) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp3)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hfb zenon_He8 zenon_He7 zenon_He6 zenon_Hf1 zenon_Hef zenon_H12 zenon_H3b zenon_H3c zenon_Hf3 zenon_Hf9. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 0.88/1.07 apply (zenon_L59_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 0.88/1.07 apply (zenon_L62_); trivial. % 0.88/1.07 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.07 (* end of lemma zenon_L64_ *) % 0.88/1.07 assert (zenon_L65_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4))))) -> (ndr1_0) -> (~(c0_1 (a1218))) -> (~(c1_1 (a1218))) -> (~(c3_1 (a1218))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hfd zenon_H12 zenon_Hfe zenon_Hff zenon_H100. % 0.88/1.07 generalize (zenon_Hfd (a1218)). zenon_intro zenon_H101. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H101); [ zenon_intro zenon_H11 | zenon_intro zenon_H102 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ]. % 0.88/1.07 exact (zenon_Hfe zenon_H104). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H106 | zenon_intro zenon_H105 ]. % 0.88/1.07 exact (zenon_Hff zenon_H106). % 0.88/1.07 exact (zenon_H100 zenon_H105). % 0.88/1.07 (* end of lemma zenon_L65_ *) % 0.88/1.07 assert (zenon_L66_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> (~(hskp0)) -> (~(hskp3)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H107 zenon_H108 zenon_H1 zenon_Hf9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfd | zenon_intro zenon_H10b ]. % 0.88/1.07 apply (zenon_L65_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H2 | zenon_intro zenon_Hfa ]. % 0.88/1.07 exact (zenon_H1 zenon_H2). % 0.88/1.07 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.07 (* end of lemma zenon_L66_ *) % 0.88/1.07 assert (zenon_L67_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> (~(hskp0)) -> (ndr1_0) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1192)) -> (~(c2_1 (a1192))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H10c zenon_H108 zenon_H1 zenon_H12 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_Hef zenon_H3c zenon_H3b zenon_Hf9 zenon_Hfb. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.07 apply (zenon_L64_); trivial. % 0.88/1.07 apply (zenon_L66_); trivial. % 0.88/1.07 (* end of lemma zenon_L67_ *) % 0.88/1.07 assert (zenon_L68_ : (~(hskp9)) -> (hskp9) -> False). % 0.88/1.07 do 0 intro. intros zenon_H10d zenon_H10e. % 0.88/1.07 exact (zenon_H10d zenon_H10e). % 0.88/1.07 (* end of lemma zenon_L68_ *) % 0.88/1.07 assert (zenon_L69_ : (~(hskp25)) -> (hskp25) -> False). % 0.88/1.07 do 0 intro. intros zenon_H10f zenon_H110. % 0.88/1.07 exact (zenon_H10f zenon_H110). % 0.88/1.07 (* end of lemma zenon_L69_ *) % 0.88/1.07 assert (zenon_L70_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp9)\/(hskp25))) -> (c1_1 (a1192)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp25)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H111 zenon_H3c zenon_H3b zenon_H3a zenon_H12 zenon_H10d zenon_H10f. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H39 | zenon_intro zenon_H112 ]. % 0.88/1.07 apply (zenon_L19_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H10e | zenon_intro zenon_H110 ]. % 0.88/1.07 exact (zenon_H10d zenon_H10e). % 0.88/1.07 exact (zenon_H10f zenon_H110). % 0.88/1.07 (* end of lemma zenon_L70_ *) % 0.88/1.07 assert (zenon_L71_ : (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a1182)) -> (c3_1 (a1182)) -> (c1_1 (a1182)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H83 zenon_H12 zenon_H27 zenon_H113 zenon_H114 zenon_H115. % 0.88/1.07 generalize (zenon_H83 (a1182)). zenon_intro zenon_H116. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H116); [ zenon_intro zenon_H11 | zenon_intro zenon_H117 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H119 | zenon_intro zenon_H118 ]. % 0.88/1.07 generalize (zenon_H27 (a1182)). zenon_intro zenon_H11a. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H11a); [ zenon_intro zenon_H11 | zenon_intro zenon_H11b ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H11d | zenon_intro zenon_H11c ]. % 0.88/1.07 exact (zenon_H11d zenon_H119). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H11f | zenon_intro zenon_H11e ]. % 0.88/1.07 exact (zenon_H11f zenon_H113). % 0.88/1.07 exact (zenon_H11e zenon_H114). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H120 | zenon_intro zenon_H11e ]. % 0.88/1.07 exact (zenon_H120 zenon_H115). % 0.88/1.07 exact (zenon_H11e zenon_H114). % 0.88/1.07 (* end of lemma zenon_L71_ *) % 0.88/1.07 assert (zenon_L72_ : ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c1_1 (a1182)) -> (c3_1 (a1182)) -> (c2_1 (a1182)) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (~(hskp22)) -> (~(hskp2)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H34 zenon_H115 zenon_H114 zenon_H113 zenon_H12 zenon_H83 zenon_H31 zenon_Hd. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H27 | zenon_intro zenon_H37 ]. % 0.88/1.07 apply (zenon_L71_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H32 | zenon_intro zenon_He ]. % 0.88/1.07 exact (zenon_H31 zenon_H32). % 0.88/1.07 exact (zenon_Hd zenon_He). % 0.88/1.07 (* end of lemma zenon_L72_ *) % 0.88/1.07 assert (zenon_L73_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a1204))) -> (~(c2_1 (a1204))) -> (c3_1 (a1204)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H121 zenon_H12 zenon_H122 zenon_H123 zenon_H124. % 0.88/1.07 generalize (zenon_H121 (a1204)). zenon_intro zenon_H125. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H125); [ zenon_intro zenon_H11 | zenon_intro zenon_H126 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H128 | zenon_intro zenon_H127 ]. % 0.88/1.07 exact (zenon_H122 zenon_H128). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H12a | zenon_intro zenon_H129 ]. % 0.88/1.07 exact (zenon_H123 zenon_H12a). % 0.88/1.07 exact (zenon_H129 zenon_H124). % 0.88/1.07 (* end of lemma zenon_L73_ *) % 0.88/1.07 assert (zenon_L74_ : (~(hskp11)) -> (hskp11) -> False). % 0.88/1.07 do 0 intro. intros zenon_H12b zenon_H12c. % 0.88/1.07 exact (zenon_H12b zenon_H12c). % 0.88/1.07 (* end of lemma zenon_L74_ *) % 0.88/1.07 assert (zenon_L75_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp2)) -> (~(hskp22)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c3_1 (a1204)) -> (~(c2_1 (a1204))) -> (~(c1_1 (a1204))) -> (~(hskp11)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H12d zenon_H12e zenon_Hd zenon_H31 zenon_H34 zenon_H124 zenon_H123 zenon_H122 zenon_H12b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H83 | zenon_intro zenon_H131 ]. % 0.88/1.07 apply (zenon_L72_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H121 | zenon_intro zenon_H12c ]. % 0.88/1.07 apply (zenon_L73_); trivial. % 0.88/1.07 exact (zenon_H12b zenon_H12c). % 0.88/1.07 (* end of lemma zenon_L75_ *) % 0.88/1.07 assert (zenon_L76_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1204)) -> (~(c2_1 (a1204))) -> (~(c1_1 (a1204))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (ndr1_0) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp9)\/(hskp25))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H132 zenon_H12e zenon_H12b zenon_H124 zenon_H123 zenon_H122 zenon_H31 zenon_Hd zenon_H34 zenon_H12 zenon_H3a zenon_H3b zenon_H3c zenon_H10d zenon_H111. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.07 apply (zenon_L70_); trivial. % 0.88/1.07 apply (zenon_L75_); trivial. % 0.88/1.07 (* end of lemma zenon_L76_ *) % 0.88/1.07 assert (zenon_L77_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (c3_1 (a1202)) -> (c1_1 (a1202)) -> (~(c0_1 (a1202))) -> (~(hskp11)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H133 zenon_H12e zenon_H86 zenon_H85 zenon_H84 zenon_H12b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H83 | zenon_intro zenon_H131 ]. % 0.88/1.07 apply (zenon_L32_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H121 | zenon_intro zenon_H12c ]. % 0.88/1.07 apply (zenon_L73_); trivial. % 0.88/1.07 exact (zenon_H12b zenon_H12c). % 0.88/1.07 (* end of lemma zenon_L77_ *) % 0.88/1.07 assert (zenon_L78_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H91 zenon_H136 zenon_H12e zenon_H12b zenon_Hfb zenon_Hf9 zenon_H3b zenon_H3c zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H1 zenon_H108 zenon_H10c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.07 apply (zenon_L67_); trivial. % 0.88/1.07 apply (zenon_L77_); trivial. % 0.88/1.07 (* end of lemma zenon_L78_ *) % 0.88/1.07 assert (zenon_L79_ : (forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H137 zenon_H12 zenon_H138 zenon_H139 zenon_H13a. % 0.88/1.07 generalize (zenon_H137 (a1186)). zenon_intro zenon_H13b. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H13b); [ zenon_intro zenon_H11 | zenon_intro zenon_H13c ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H13e | zenon_intro zenon_H13d ]. % 0.88/1.07 exact (zenon_H138 zenon_H13e). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 0.88/1.07 exact (zenon_H139 zenon_H140). % 0.88/1.07 exact (zenon_H13f zenon_H13a). % 0.88/1.07 (* end of lemma zenon_L79_ *) % 0.88/1.07 assert (zenon_L80_ : ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp17)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H12 zenon_H31 zenon_H9. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H137 | zenon_intro zenon_H142 ]. % 0.88/1.07 apply (zenon_L79_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H32 | zenon_intro zenon_Ha ]. % 0.88/1.07 exact (zenon_H31 zenon_H32). % 0.88/1.07 exact (zenon_H9 zenon_Ha). % 0.88/1.07 (* end of lemma zenon_L80_ *) % 0.88/1.07 assert (zenon_L81_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H92 zenon_H143 zenon_H3a zenon_H3b zenon_H3c zenon_H56 zenon_H58 zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H9 zenon_H141. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.07 apply (zenon_L80_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H44 | zenon_intro zenon_H144 ]. % 0.88/1.07 apply (zenon_L55_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H137 | zenon_intro zenon_Ha ]. % 0.88/1.07 apply (zenon_L79_); trivial. % 0.88/1.07 exact (zenon_H9 zenon_Ha). % 0.88/1.07 (* end of lemma zenon_L81_ *) % 0.88/1.07 assert (zenon_L82_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (c1_1 (a1192)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (~(hskp7)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1d zenon_H58 zenon_H3c zenon_H3b zenon_H3a zenon_H56. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.07 apply (zenon_L19_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.07 apply (zenon_L10_); trivial. % 0.88/1.07 exact (zenon_H56 zenon_H57). % 0.88/1.07 (* end of lemma zenon_L82_ *) % 0.88/1.07 assert (zenon_L83_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H97 zenon_H21 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H58 zenon_H56 zenon_H143 zenon_H92. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.07 apply (zenon_L81_); trivial. % 0.88/1.07 apply (zenon_L82_); trivial. % 0.88/1.07 (* end of lemma zenon_L83_ *) % 0.88/1.07 assert (zenon_L84_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H96 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H58 zenon_H56 zenon_H143 zenon_H92 zenon_Hf zenon_Hd zenon_H1 zenon_H1e zenon_H21. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.07 apply (zenon_L12_); trivial. % 0.88/1.07 apply (zenon_L83_); trivial. % 0.88/1.07 (* end of lemma zenon_L84_ *) % 0.88/1.07 assert (zenon_L85_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H145 zenon_H96 zenon_H141 zenon_H58 zenon_H56 zenon_H143 zenon_H92 zenon_Hf zenon_Hd zenon_H1 zenon_H1e zenon_H21. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.07 apply (zenon_L84_); trivial. % 0.88/1.07 (* end of lemma zenon_L85_ *) % 0.88/1.07 assert (zenon_L86_ : (forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24)))))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33)))))) -> (~(c2_1 (a1181))) -> (c3_1 (a1181)) -> (c0_1 (a1181)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H13 zenon_H12 zenon_Hf4 zenon_H148 zenon_H149 zenon_H14a. % 0.88/1.07 generalize (zenon_H13 (a1181)). zenon_intro zenon_H14b. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H14b); [ zenon_intro zenon_H11 | zenon_intro zenon_H14c ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H14e | zenon_intro zenon_H14d ]. % 0.88/1.07 generalize (zenon_Hf4 (a1181)). zenon_intro zenon_H14f. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H14f); [ zenon_intro zenon_H11 | zenon_intro zenon_H150 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H152 | zenon_intro zenon_H151 ]. % 0.88/1.07 exact (zenon_H148 zenon_H152). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H154 | zenon_intro zenon_H153 ]. % 0.88/1.07 exact (zenon_H154 zenon_H14e). % 0.88/1.07 exact (zenon_H153 zenon_H149). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H152 | zenon_intro zenon_H155 ]. % 0.88/1.07 exact (zenon_H148 zenon_H152). % 0.88/1.07 exact (zenon_H155 zenon_H14a). % 0.88/1.07 (* end of lemma zenon_L86_ *) % 0.88/1.07 assert (zenon_L87_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp3)) -> (~(c2_1 (a1181))) -> (c3_1 (a1181)) -> (c0_1 (a1181)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp7)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H97 zenon_H58 zenon_Hf9 zenon_H148 zenon_H149 zenon_H14a zenon_He6 zenon_He7 zenon_He8 zenon_Hfb zenon_H56. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.08 apply (zenon_L19_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 0.88/1.08 apply (zenon_L59_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 0.88/1.08 apply (zenon_L86_); trivial. % 0.88/1.08 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.08 exact (zenon_H56 zenon_H57). % 0.88/1.08 (* end of lemma zenon_L87_ *) % 0.88/1.08 assert (zenon_L88_ : ((ndr1_0)/\((c0_1 (a1181))/\((c3_1 (a1181))/\(~(c2_1 (a1181)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H156 zenon_H96 zenon_H58 zenon_H56 zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_Hfb zenon_Hf zenon_Hd zenon_H1 zenon_H1e zenon_H21. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14a. zenon_intro zenon_H158. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H149. zenon_intro zenon_H148. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.08 apply (zenon_L12_); trivial. % 0.88/1.08 apply (zenon_L87_); trivial. % 0.88/1.08 (* end of lemma zenon_L88_ *) % 0.88/1.08 assert (zenon_L89_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a1181))/\((c3_1 (a1181))/\(~(c2_1 (a1181))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp9)\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H159 zenon_H96 zenon_H95 zenon_H10c zenon_H108 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_Hf9 zenon_Hfb zenon_H132 zenon_H12e zenon_H34 zenon_H111 zenon_H58 zenon_H56 zenon_H54 zenon_H77 zenon_H3 zenon_H74 zenon_H80 zenon_H92 zenon_H136 zenon_Hf zenon_Hd zenon_H1 zenon_H1e zenon_H21 zenon_H143 zenon_H141 zenon_H15a. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10d | zenon_intro zenon_H156 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.08 apply (zenon_L12_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.08 apply (zenon_L67_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.08 apply (zenon_L76_); trivial. % 0.88/1.08 apply (zenon_L31_); trivial. % 0.88/1.08 apply (zenon_L78_); trivial. % 0.88/1.08 apply (zenon_L85_); trivial. % 0.88/1.08 apply (zenon_L88_); trivial. % 0.88/1.08 (* end of lemma zenon_L89_ *) % 0.88/1.08 assert (zenon_L90_ : (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (ndr1_0) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H9a zenon_H12 zenon_H15b zenon_H15c zenon_H15d. % 0.88/1.08 generalize (zenon_H9a (a1179)). zenon_intro zenon_H15e. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H15e); [ zenon_intro zenon_H11 | zenon_intro zenon_H15f ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H161 | zenon_intro zenon_H160 ]. % 0.88/1.08 exact (zenon_H15b zenon_H161). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H163 | zenon_intro zenon_H162 ]. % 0.88/1.08 exact (zenon_H15c zenon_H163). % 0.88/1.08 exact (zenon_H15d zenon_H162). % 0.88/1.08 (* end of lemma zenon_L90_ *) % 0.88/1.08 assert (zenon_L91_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> (~(hskp5)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hdd zenon_Hda zenon_H15d zenon_H15c zenon_H15b zenon_Hd8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hce | zenon_intro zenon_Hdb ]. % 0.88/1.08 apply (zenon_L50_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H9a | zenon_intro zenon_Hd9 ]. % 0.88/1.08 apply (zenon_L90_); trivial. % 0.88/1.08 exact (zenon_Hd8 zenon_Hd9). % 0.88/1.08 (* end of lemma zenon_L91_ *) % 0.88/1.08 assert (zenon_L92_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp0)\/((hskp1)\/(hskp14))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hdc zenon_Hda zenon_Hd8 zenon_H15d zenon_H15c zenon_H15b zenon_H1 zenon_H3 zenon_H7. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.08 apply (zenon_L4_); trivial. % 0.88/1.08 apply (zenon_L91_); trivial. % 0.88/1.08 (* end of lemma zenon_L92_ *) % 0.88/1.08 assert (zenon_L93_ : (forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H164 zenon_H12 zenon_H165 zenon_H166 zenon_H167. % 0.88/1.08 generalize (zenon_H164 (a1176)). zenon_intro zenon_H168. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H168); [ zenon_intro zenon_H11 | zenon_intro zenon_H169 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 0.88/1.08 exact (zenon_H165 zenon_H16b). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H16d | zenon_intro zenon_H16c ]. % 0.88/1.08 exact (zenon_H16d zenon_H166). % 0.88/1.08 exact (zenon_H16c zenon_H167). % 0.88/1.08 (* end of lemma zenon_L93_ *) % 0.88/1.08 assert (zenon_L94_ : ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp11)\/(hskp15))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp15)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H16e zenon_H167 zenon_H166 zenon_H165 zenon_H12 zenon_H12b zenon_Ha9. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H16f ]. % 0.88/1.08 apply (zenon_L93_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H12c | zenon_intro zenon_Haa ]. % 0.88/1.08 exact (zenon_H12b zenon_H12c). % 0.88/1.08 exact (zenon_Ha9 zenon_Haa). % 0.88/1.08 (* end of lemma zenon_L94_ *) % 0.88/1.08 assert (zenon_L95_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (ndr1_0) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp11)\/(hskp15))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hcd zenon_H21 zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_H9d zenon_H9c zenon_H9b zenon_H56 zenon_H58 zenon_Hb zenon_Hd zenon_Hf zenon_H12 zenon_H165 zenon_H166 zenon_H167 zenon_H12b zenon_H16e. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.08 apply (zenon_L94_); trivial. % 0.88/1.08 apply (zenon_L48_); trivial. % 0.88/1.08 (* end of lemma zenon_L95_ *) % 0.88/1.08 assert (zenon_L96_ : ((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a1181))/\((c3_1 (a1181))/\(~(c2_1 (a1181))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp9)\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H170 zenon_H159 zenon_H96 zenon_H95 zenon_H10c zenon_H108 zenon_Hf3 zenon_Hf9 zenon_Hfb zenon_H132 zenon_H12e zenon_H34 zenon_H111 zenon_H58 zenon_H56 zenon_H54 zenon_H77 zenon_H3 zenon_H74 zenon_H80 zenon_H92 zenon_H136 zenon_Hf zenon_Hd zenon_H1 zenon_H1e zenon_H21 zenon_H143 zenon_H141 zenon_H15a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.88/1.08 apply (zenon_L89_); trivial. % 0.88/1.08 (* end of lemma zenon_L96_ *) % 0.88/1.08 assert (zenon_L97_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a1181))/\((c3_1 (a1181))/\(~(c2_1 (a1181))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp9)\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp11)\/(hskp15))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((hskp28)\/(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H173 zenon_H159 zenon_H10c zenon_H108 zenon_Hf3 zenon_Hf9 zenon_Hfb zenon_H132 zenon_H12e zenon_H111 zenon_H136 zenon_H174 zenon_He3 zenon_H16e zenon_H167 zenon_H166 zenon_H165 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_Hcd zenon_H21 zenon_H1e zenon_H1 zenon_Hd zenon_Hf zenon_H92 zenon_H80 zenon_H74 zenon_H3 zenon_H77 zenon_H54 zenon_H56 zenon_H58 zenon_H24 zenon_H34 zenon_H38 zenon_H8f zenon_H95 zenon_H96 zenon_H143 zenon_H141 zenon_H15a. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.08 apply (zenon_L38_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.08 apply (zenon_L95_); trivial. % 0.88/1.08 apply (zenon_L57_); trivial. % 0.88/1.08 apply (zenon_L85_); trivial. % 0.88/1.08 apply (zenon_L96_); trivial. % 0.88/1.08 (* end of lemma zenon_L97_ *) % 0.88/1.08 assert (zenon_L98_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (~(c1_1 (a1195))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hc8 zenon_H15d zenon_H15c zenon_H15b zenon_Hb0 zenon_Haf zenon_Hae zenon_H12 zenon_Hb7. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H9a | zenon_intro zenon_Hc9 ]. % 0.88/1.08 apply (zenon_L90_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Had | zenon_intro zenon_Hb8 ]. % 0.88/1.08 apply (zenon_L43_); trivial. % 0.88/1.08 exact (zenon_Hb7 zenon_Hb8). % 0.88/1.08 (* end of lemma zenon_L98_ *) % 0.88/1.08 assert (zenon_L99_ : (forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24)))))) -> (ndr1_0) -> (~(c1_1 (a1211))) -> (forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c0_1 (a1211)) -> (c3_1 (a1211)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H13 zenon_H12 zenon_H43 zenon_H27 zenon_H45 zenon_H5b. % 0.88/1.08 generalize (zenon_H13 (a1211)). zenon_intro zenon_H46. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H11 | zenon_intro zenon_H47 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ]. % 0.88/1.08 exact (zenon_H43 zenon_H49). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ]. % 0.88/1.08 generalize (zenon_H27 (a1211)). zenon_intro zenon_H178. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H178); [ zenon_intro zenon_H11 | zenon_intro zenon_H179 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H4a | zenon_intro zenon_H7e ]. % 0.88/1.08 exact (zenon_H4a zenon_H45). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H4f | zenon_intro zenon_H5f ]. % 0.88/1.08 exact (zenon_H4f zenon_H4b). % 0.88/1.08 exact (zenon_H5f zenon_H5b). % 0.88/1.08 exact (zenon_H4a zenon_H45). % 0.88/1.08 (* end of lemma zenon_L99_ *) % 0.88/1.08 assert (zenon_L100_ : ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c3_1 (a1190)) -> (c1_1 (a1190)) -> (c0_1 (a1190)) -> (c3_1 (a1211)) -> (c0_1 (a1211)) -> (forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (~(c1_1 (a1211))) -> (ndr1_0) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hc4 zenon_Hbc zenon_Hbb zenon_Hba zenon_H5b zenon_H45 zenon_H27 zenon_H43 zenon_H12. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H13 | zenon_intro zenon_Hb9 ]. % 0.88/1.08 apply (zenon_L99_); trivial. % 0.88/1.08 apply (zenon_L45_); trivial. % 0.88/1.08 (* end of lemma zenon_L100_ *) % 0.88/1.08 assert (zenon_L101_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H7f zenon_Hc7 zenon_H17a zenon_Hf9 zenon_Hc4 zenon_H15b zenon_H15c zenon_H15d zenon_Hae zenon_Haf zenon_Hb0 zenon_Hc8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc3 ]. % 0.88/1.08 apply (zenon_L98_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H12. zenon_intro zenon_Hc5. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H9a | zenon_intro zenon_H17b ]. % 0.88/1.08 apply (zenon_L90_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H27 | zenon_intro zenon_Hfa ]. % 0.88/1.08 apply (zenon_L100_); trivial. % 0.88/1.08 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.08 (* end of lemma zenon_L101_ *) % 0.88/1.08 assert (zenon_L102_ : ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp17)) -> (~(hskp1)) -> (~(hskp16)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H17c zenon_H9 zenon_H3 zenon_H17d. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_Ha | zenon_intro zenon_H17e ]. % 0.88/1.08 exact (zenon_H9 zenon_Ha). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H4 | zenon_intro zenon_H17f ]. % 0.88/1.08 exact (zenon_H3 zenon_H4). % 0.88/1.08 exact (zenon_H17d zenon_H17f). % 0.88/1.08 (* end of lemma zenon_L102_ *) % 0.88/1.08 assert (zenon_L103_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> (~(hskp1)) -> (~(hskp16)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H21 zenon_H1e zenon_H1 zenon_H3 zenon_H17d zenon_H17c. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.08 apply (zenon_L102_); trivial. % 0.88/1.08 apply (zenon_L11_); trivial. % 0.88/1.08 (* end of lemma zenon_L103_ *) % 0.88/1.08 assert (zenon_L104_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a1199))) -> (~(c3_1 (a1199))) -> (c2_1 (a1199)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H180 zenon_H12 zenon_H181 zenon_H182 zenon_H183. % 0.88/1.08 generalize (zenon_H180 (a1199)). zenon_intro zenon_H184. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H184); [ zenon_intro zenon_H11 | zenon_intro zenon_H185 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H187 | zenon_intro zenon_H186 ]. % 0.88/1.08 exact (zenon_H181 zenon_H187). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H189 | zenon_intro zenon_H188 ]. % 0.88/1.08 exact (zenon_H182 zenon_H189). % 0.88/1.08 exact (zenon_H188 zenon_H183). % 0.88/1.08 (* end of lemma zenon_L104_ *) % 0.88/1.08 assert (zenon_L105_ : (forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))) -> (ndr1_0) -> (c0_1 (a1176)) -> (c1_1 (a1176)) -> (c2_1 (a1176)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H6a zenon_H12 zenon_H166 zenon_H18a zenon_H167. % 0.88/1.08 generalize (zenon_H6a (a1176)). zenon_intro zenon_H18b. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H18b); [ zenon_intro zenon_H11 | zenon_intro zenon_H18c ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16d | zenon_intro zenon_H18d ]. % 0.88/1.08 exact (zenon_H16d zenon_H166). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18e | zenon_intro zenon_H16c ]. % 0.88/1.08 exact (zenon_H18e zenon_H18a). % 0.88/1.08 exact (zenon_H16c zenon_H167). % 0.88/1.08 (* end of lemma zenon_L105_ *) % 0.88/1.08 assert (zenon_L106_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> (~(c3_1 (a1176))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hc8 zenon_H15d zenon_H15c zenon_H15b zenon_H165 zenon_H167 zenon_H166 zenon_H6a zenon_H12 zenon_Hb7. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H9a | zenon_intro zenon_Hc9 ]. % 0.88/1.08 apply (zenon_L90_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Had | zenon_intro zenon_Hb8 ]. % 0.88/1.08 generalize (zenon_Had (a1176)). zenon_intro zenon_H18f. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H18f); [ zenon_intro zenon_H11 | zenon_intro zenon_H190 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H18a | zenon_intro zenon_H191 ]. % 0.88/1.08 apply (zenon_L105_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H16b | zenon_intro zenon_H16c ]. % 0.88/1.08 exact (zenon_H165 zenon_H16b). % 0.88/1.08 exact (zenon_H16c zenon_H167). % 0.88/1.08 exact (zenon_Hb7 zenon_Hb8). % 0.88/1.08 (* end of lemma zenon_L106_ *) % 0.88/1.08 assert (zenon_L107_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> (~(c3_1 (a1176))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H192 zenon_H183 zenon_H182 zenon_H181 zenon_H13a zenon_H139 zenon_H138 zenon_Hc8 zenon_H15d zenon_H15c zenon_H15b zenon_H165 zenon_H167 zenon_H166 zenon_H12 zenon_Hb7. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H180 | zenon_intro zenon_H193 ]. % 0.88/1.08 apply (zenon_L104_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H137 | zenon_intro zenon_H6a ]. % 0.88/1.08 apply (zenon_L79_); trivial. % 0.88/1.08 apply (zenon_L106_); trivial. % 0.88/1.08 (* end of lemma zenon_L107_ *) % 0.88/1.08 assert (zenon_L108_ : ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> (forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24)))))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H143 zenon_H45 zenon_H43 zenon_H13 zenon_H13a zenon_H139 zenon_H138 zenon_H12 zenon_H9. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H44 | zenon_intro zenon_H144 ]. % 0.88/1.08 apply (zenon_L20_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H137 | zenon_intro zenon_Ha ]. % 0.88/1.08 apply (zenon_L79_); trivial. % 0.88/1.08 exact (zenon_H9 zenon_Ha). % 0.88/1.08 (* end of lemma zenon_L108_ *) % 0.88/1.08 assert (zenon_L109_ : ((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp17)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hc3 zenon_Hc4 zenon_H43 zenon_H45 zenon_H138 zenon_H139 zenon_H13a zenon_H9 zenon_H143. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H12. zenon_intro zenon_Hc5. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H13 | zenon_intro zenon_Hb9 ]. % 0.88/1.08 apply (zenon_L108_); trivial. % 0.88/1.08 apply (zenon_L45_); trivial. % 0.88/1.08 (* end of lemma zenon_L109_ *) % 0.88/1.08 assert (zenon_L110_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1176))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H145 zenon_H194 zenon_H141 zenon_H192 zenon_H15b zenon_H15c zenon_H15d zenon_H166 zenon_H167 zenon_H165 zenon_Hc8 zenon_H143 zenon_Hc4 zenon_Hc7 zenon_H92 zenon_H17c zenon_H3 zenon_H1 zenon_H1e zenon_H21. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.08 apply (zenon_L103_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.08 apply (zenon_L80_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc3 ]. % 0.88/1.08 apply (zenon_L107_); trivial. % 0.88/1.08 apply (zenon_L109_); trivial. % 0.88/1.08 apply (zenon_L11_); trivial. % 0.88/1.08 (* end of lemma zenon_L110_ *) % 0.88/1.08 assert (zenon_L111_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp11)\/(hskp15))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H15a zenon_H194 zenon_H141 zenon_H192 zenon_H143 zenon_H17c zenon_H3 zenon_H1 zenon_H1e zenon_H21 zenon_H16e zenon_H167 zenon_H166 zenon_H165 zenon_H12 zenon_H38 zenon_H34 zenon_Hd zenon_H22 zenon_H24 zenon_Hc8 zenon_H15d zenon_H15c zenon_H15b zenon_Hc4 zenon_Hf9 zenon_H17a zenon_Hc7 zenon_H92 zenon_Hcd. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.08 apply (zenon_L94_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.08 apply (zenon_L18_); trivial. % 0.88/1.08 apply (zenon_L101_); trivial. % 0.88/1.08 apply (zenon_L110_); trivial. % 0.88/1.08 (* end of lemma zenon_L111_ *) % 0.88/1.08 assert (zenon_L112_ : (forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (c0_1 (a1190)) -> (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33)))))) -> (c1_1 (a1190)) -> (c3_1 (a1190)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H27 zenon_H12 zenon_Hba zenon_Hf4 zenon_Hbb zenon_Hbc. % 0.88/1.08 generalize (zenon_H27 (a1190)). zenon_intro zenon_H198. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H198); [ zenon_intro zenon_H11 | zenon_intro zenon_H199 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H19a ]. % 0.88/1.08 exact (zenon_Hc0 zenon_Hba). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H19b | zenon_intro zenon_Hc1 ]. % 0.88/1.08 generalize (zenon_Hf4 (a1190)). zenon_intro zenon_H19c. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H19c); [ zenon_intro zenon_H11 | zenon_intro zenon_H19d ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H19e | zenon_intro zenon_Hbf ]. % 0.88/1.08 exact (zenon_H19b zenon_H19e). % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hc1 ]. % 0.88/1.08 exact (zenon_Hc2 zenon_Hbb). % 0.88/1.08 exact (zenon_Hc1 zenon_Hbc). % 0.88/1.08 exact (zenon_Hc1 zenon_Hbc). % 0.88/1.08 (* end of lemma zenon_L112_ *) % 0.88/1.08 assert (zenon_L113_ : ((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> (~(hskp3)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hc3 zenon_Hfb zenon_He8 zenon_He7 zenon_He6 zenon_H15b zenon_H15c zenon_H15d zenon_H17a zenon_Hf9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H12. zenon_intro zenon_Hc5. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 0.88/1.08 apply (zenon_L59_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H9a | zenon_intro zenon_H17b ]. % 0.88/1.08 apply (zenon_L90_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H27 | zenon_intro zenon_Hfa ]. % 0.88/1.08 apply (zenon_L112_); trivial. % 0.88/1.08 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.08 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.08 (* end of lemma zenon_L113_ *) % 0.88/1.08 assert (zenon_L114_ : ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a1192))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp23)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hf3 zenon_H3c zenon_H3a zenon_H61 zenon_H3b zenon_H12 zenon_Hef zenon_Hf1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf5 ]. % 0.88/1.08 apply (zenon_L27_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf2 ]. % 0.88/1.08 exact (zenon_Hef zenon_Hf0). % 0.88/1.08 exact (zenon_Hf1 zenon_Hf2). % 0.88/1.08 (* end of lemma zenon_L114_ *) % 0.88/1.08 assert (zenon_L115_ : (forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H19f zenon_H12 zenon_H1a0 zenon_H1a1 zenon_H1a2. % 0.88/1.08 generalize (zenon_H19f (a1174)). zenon_intro zenon_H1a3. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1a3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1a4 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a5 ]. % 0.88/1.08 exact (zenon_H1a0 zenon_H1a6). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a7 ]. % 0.88/1.08 exact (zenon_H1a8 zenon_H1a1). % 0.88/1.08 exact (zenon_H1a7 zenon_H1a2). % 0.88/1.08 (* end of lemma zenon_L115_ *) % 0.88/1.08 assert (zenon_L116_ : (~(hskp10)) -> (hskp10) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1a9 zenon_H1aa. % 0.88/1.08 exact (zenon_H1a9 zenon_H1aa). % 0.88/1.08 (* end of lemma zenon_L116_ *) % 0.88/1.08 assert (zenon_L117_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp23)) -> (~(hskp19)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1ab zenon_Hf1 zenon_Hef zenon_H3b zenon_H3a zenon_H3c zenon_Hf3 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H12 zenon_H1a9. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H61 | zenon_intro zenon_H1ac ]. % 0.88/1.08 apply (zenon_L114_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H19f | zenon_intro zenon_H1aa ]. % 0.88/1.08 apply (zenon_L115_); trivial. % 0.88/1.08 exact (zenon_H1a9 zenon_H1aa). % 0.88/1.08 (* end of lemma zenon_L117_ *) % 0.88/1.08 assert (zenon_L118_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (~(hskp0)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H107 zenon_H1ad zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H1. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1ae ]. % 0.88/1.08 apply (zenon_L65_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hce | zenon_intro zenon_H2 ]. % 0.88/1.08 apply (zenon_L50_); trivial. % 0.88/1.08 exact (zenon_H1 zenon_H2). % 0.88/1.08 (* end of lemma zenon_L118_ *) % 0.88/1.08 assert (zenon_L119_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (~(hskp11)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H133 zenon_H1af zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H12b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H121 | zenon_intro zenon_H1b0 ]. % 0.88/1.08 apply (zenon_L73_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H19f | zenon_intro zenon_H12c ]. % 0.88/1.08 apply (zenon_L115_); trivial. % 0.88/1.08 exact (zenon_H12b zenon_H12c). % 0.88/1.08 (* end of lemma zenon_L119_ *) % 0.88/1.08 assert (zenon_L120_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hdd zenon_H136 zenon_H1af zenon_H12b zenon_H1ab zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H3b zenon_H3a zenon_H3c zenon_Hf3 zenon_H1 zenon_H1ad zenon_H10c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.08 apply (zenon_L117_); trivial. % 0.88/1.08 apply (zenon_L118_); trivial. % 0.88/1.08 apply (zenon_L119_); trivial. % 0.88/1.08 (* end of lemma zenon_L120_ *) % 0.88/1.08 assert (zenon_L121_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp0)\/((hskp1)\/(hskp14))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H97 zenon_Hdc zenon_H136 zenon_H1af zenon_H12b zenon_H1ab zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H1ad zenon_H10c zenon_H1 zenon_H3 zenon_H7. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.08 apply (zenon_L4_); trivial. % 0.88/1.08 apply (zenon_L120_); trivial. % 0.88/1.08 (* end of lemma zenon_L121_ *) % 0.88/1.08 assert (zenon_L122_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((hskp0)\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H15a zenon_H141 zenon_H58 zenon_H56 zenon_H143 zenon_H92 zenon_H21 zenon_H1e zenon_H1 zenon_Hd zenon_Hf zenon_H7 zenon_H3 zenon_H10c zenon_H1ad zenon_Hf3 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1a9 zenon_H1ab zenon_H1af zenon_H136 zenon_Hdc zenon_H96. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.08 apply (zenon_L12_); trivial. % 0.88/1.08 apply (zenon_L121_); trivial. % 0.88/1.08 apply (zenon_L85_); trivial. % 0.88/1.08 (* end of lemma zenon_L122_ *) % 0.88/1.08 assert (zenon_L123_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1b1 zenon_H12 zenon_H1b2 zenon_H1b3 zenon_H1b4. % 0.88/1.08 generalize (zenon_H1b1 (a1184)). zenon_intro zenon_H1b5. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1b5); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b6 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1b7 ]. % 0.88/1.08 exact (zenon_H1b2 zenon_H1b8). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1b9 ]. % 0.88/1.08 exact (zenon_H1b3 zenon_H1ba). % 0.88/1.08 exact (zenon_H1b4 zenon_H1b9). % 0.88/1.08 (* end of lemma zenon_L123_ *) % 0.88/1.08 assert (zenon_L124_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H121 zenon_H12 zenon_H1b3 zenon_H1b4 zenon_H9a. % 0.88/1.08 generalize (zenon_H121 (a1184)). zenon_intro zenon_H1bb. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1bb); [ zenon_intro zenon_H11 | zenon_intro zenon_H1bc ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bd ]. % 0.88/1.08 exact (zenon_H1b3 zenon_H1ba). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H1be ]. % 0.88/1.08 exact (zenon_H1b4 zenon_H1b9). % 0.88/1.08 generalize (zenon_H9a (a1184)). zenon_intro zenon_H1bf. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1bf); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c0 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c1 ]. % 0.88/1.08 exact (zenon_H1b3 zenon_H1ba). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H1c2 ]. % 0.88/1.08 exact (zenon_H1b4 zenon_H1b9). % 0.88/1.08 exact (zenon_H1be zenon_H1c2). % 0.88/1.08 (* end of lemma zenon_L124_ *) % 0.88/1.08 assert (zenon_L125_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c0_1 (a1184))) -> (~(hskp5)) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp0)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hdd zenon_H1c3 zenon_H1b2 zenon_Hd8 zenon_H1b3 zenon_H1b4 zenon_Hda zenon_H1. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1c4 ]. % 0.88/1.08 apply (zenon_L123_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H121 | zenon_intro zenon_H2 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hce | zenon_intro zenon_Hdb ]. % 0.88/1.08 apply (zenon_L50_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H9a | zenon_intro zenon_Hd9 ]. % 0.88/1.08 apply (zenon_L124_); trivial. % 0.88/1.08 exact (zenon_Hd8 zenon_Hd9). % 0.88/1.08 exact (zenon_H1 zenon_H2). % 0.88/1.08 (* end of lemma zenon_L125_ *) % 0.88/1.08 assert (zenon_L126_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp0)\/((hskp1)\/(hskp14))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hdc zenon_H1c3 zenon_Hd8 zenon_Hda zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H1 zenon_H3 zenon_H7. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.08 apply (zenon_L4_); trivial. % 0.88/1.08 apply (zenon_L125_); trivial. % 0.88/1.08 (* end of lemma zenon_L126_ *) % 0.88/1.08 assert (zenon_L127_ : ((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp0)\/((hskp1)\/(hskp14))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1c5 zenon_Hdc zenon_H1c3 zenon_Hd8 zenon_Hda zenon_H1 zenon_H3 zenon_H7. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 0.88/1.08 apply (zenon_L126_); trivial. % 0.88/1.08 (* end of lemma zenon_L127_ *) % 0.88/1.08 assert (zenon_L128_ : ((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp0)\/((hskp1)\/(hskp14))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1c8 zenon_Hdc zenon_Hda zenon_Hd8 zenon_H1 zenon_H3 zenon_H7. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.88/1.08 apply (zenon_L92_); trivial. % 0.88/1.08 (* end of lemma zenon_L128_ *) % 0.88/1.08 assert (zenon_L129_ : ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((hskp0)\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1cb zenon_H15a zenon_H141 zenon_H58 zenon_H143 zenon_H92 zenon_H21 zenon_H1e zenon_H1 zenon_Hd zenon_Hf zenon_H7 zenon_H3 zenon_H10c zenon_H1ad zenon_Hf3 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1ab zenon_H1af zenon_H136 zenon_Hdc zenon_H96 zenon_Hda zenon_Hd8 zenon_H1c3 zenon_H1cc. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 0.88/1.08 apply (zenon_L122_); trivial. % 0.88/1.08 apply (zenon_L127_); trivial. % 0.88/1.08 apply (zenon_L128_); trivial. % 0.88/1.08 (* end of lemma zenon_L129_ *) % 0.88/1.08 assert (zenon_L130_ : ((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (~(hskp0)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1c5 zenon_H1cd zenon_H167 zenon_H166 zenon_H165 zenon_H1. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1ce ]. % 0.88/1.08 apply (zenon_L123_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H164 | zenon_intro zenon_H2 ]. % 0.88/1.08 apply (zenon_L93_); trivial. % 0.88/1.08 exact (zenon_H1 zenon_H2). % 0.88/1.08 (* end of lemma zenon_L130_ *) % 0.88/1.08 assert (zenon_L131_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp15)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H12 zenon_H5 zenon_Ha9. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H9a | zenon_intro zenon_Hac ]. % 0.88/1.08 apply (zenon_L90_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H6 | zenon_intro zenon_Haa ]. % 0.88/1.08 exact (zenon_H5 zenon_H6). % 0.88/1.08 exact (zenon_Ha9 zenon_Haa). % 0.88/1.08 (* end of lemma zenon_L131_ *) % 0.88/1.08 assert (zenon_L132_ : ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp14)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1cf zenon_H167 zenon_H166 zenon_H165 zenon_H12 zenon_H31 zenon_H5. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H164 | zenon_intro zenon_H1d0 ]. % 0.88/1.08 apply (zenon_L93_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H32 | zenon_intro zenon_H6 ]. % 0.88/1.08 exact (zenon_H31 zenon_H32). % 0.88/1.08 exact (zenon_H5 zenon_H6). % 0.88/1.08 (* end of lemma zenon_L132_ *) % 0.88/1.08 assert (zenon_L133_ : ((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (c3_1 (a1211)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (~(hskp10)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H76 zenon_H1ab zenon_H3b zenon_H3a zenon_H3c zenon_H43 zenon_H45 zenon_H5b zenon_H74 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H1a9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H12. zenon_intro zenon_H78. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H6b. zenon_intro zenon_H79. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H6c. zenon_intro zenon_H6d. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H61 | zenon_intro zenon_H1ac ]. % 0.88/1.08 apply (zenon_L29_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H19f | zenon_intro zenon_H1aa ]. % 0.88/1.08 apply (zenon_L115_); trivial. % 0.88/1.08 exact (zenon_H1a9 zenon_H1aa). % 0.88/1.08 (* end of lemma zenon_L133_ *) % 0.88/1.08 assert (zenon_L134_ : ((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c3_1 (a1211)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hc3 zenon_H80 zenon_H1ab zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H5b zenon_H3b zenon_H3a zenon_H3c zenon_H74 zenon_H54 zenon_H52 zenon_H45 zenon_H43 zenon_Hc4. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H12. zenon_intro zenon_Hc5. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H13 | zenon_intro zenon_Hb9 ]. % 0.88/1.08 apply (zenon_L23_); trivial. % 0.88/1.08 apply (zenon_L45_); trivial. % 0.88/1.08 apply (zenon_L133_); trivial. % 0.88/1.08 (* end of lemma zenon_L134_ *) % 0.88/1.08 assert (zenon_L135_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp18)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H7f zenon_Hc7 zenon_H80 zenon_H1ab zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H3b zenon_H3a zenon_H3c zenon_H74 zenon_H54 zenon_H52 zenon_Hc4 zenon_H15b zenon_H15c zenon_H15d zenon_Hae zenon_Haf zenon_Hb0 zenon_Hc8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc3 ]. % 0.88/1.08 apply (zenon_L98_); trivial. % 0.88/1.08 apply (zenon_L134_); trivial. % 0.88/1.08 (* end of lemma zenon_L135_ *) % 0.88/1.08 assert (zenon_L136_ : (forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c2_1 (a1174)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H164 zenon_H12 zenon_H1a0 zenon_H1a1 zenon_H1d1. % 0.88/1.08 generalize (zenon_H164 (a1174)). zenon_intro zenon_H1d2. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1d2); [ zenon_intro zenon_H11 | zenon_intro zenon_H1d3 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1d4 ]. % 0.88/1.08 exact (zenon_H1a0 zenon_H1a6). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1d5 ]. % 0.88/1.08 exact (zenon_H1a8 zenon_H1a1). % 0.88/1.08 exact (zenon_H1d5 zenon_H1d1). % 0.88/1.08 (* end of lemma zenon_L136_ *) % 0.88/1.08 assert (zenon_L137_ : (forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1d6 zenon_H12 zenon_H164 zenon_H1a0 zenon_H1a1 zenon_H1a2. % 0.88/1.08 generalize (zenon_H1d6 (a1174)). zenon_intro zenon_H1d7. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1d7); [ zenon_intro zenon_H11 | zenon_intro zenon_H1d8 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1a5 ]. % 0.88/1.08 apply (zenon_L136_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a7 ]. % 0.88/1.08 exact (zenon_H1a8 zenon_H1a1). % 0.88/1.08 exact (zenon_H1a7 zenon_H1a2). % 0.88/1.08 (* end of lemma zenon_L137_ *) % 0.88/1.08 assert (zenon_L138_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(hskp14)) -> (~(hskp22)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1d9 zenon_H5 zenon_H31 zenon_H1cf zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H12 zenon_H10f. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1da ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H164 | zenon_intro zenon_H1d0 ]. % 0.88/1.08 apply (zenon_L137_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H32 | zenon_intro zenon_H6 ]. % 0.88/1.08 exact (zenon_H31 zenon_H32). % 0.88/1.08 exact (zenon_H5 zenon_H6). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H19f | zenon_intro zenon_H110 ]. % 0.88/1.08 apply (zenon_L115_); trivial. % 0.88/1.08 exact (zenon_H10f zenon_H110). % 0.88/1.08 (* end of lemma zenon_L138_ *) % 0.88/1.08 assert (zenon_L139_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4))))) -> (ndr1_0) -> (~(c0_1 (a1195))) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hfd zenon_H12 zenon_H1db zenon_Hae zenon_Haf. % 0.88/1.08 generalize (zenon_Hfd (a1195)). zenon_intro zenon_H1dc. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1dc); [ zenon_intro zenon_H11 | zenon_intro zenon_H1dd ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ]. % 0.88/1.08 exact (zenon_H1db zenon_H1df). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb6 ]. % 0.88/1.08 exact (zenon_Hae zenon_Hb4). % 0.88/1.08 exact (zenon_Haf zenon_Hb6). % 0.88/1.08 (* end of lemma zenon_L139_ *) % 0.88/1.08 assert (zenon_L140_ : (forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c3_1 (a1195))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4))))) -> (~(c1_1 (a1195))) -> (c2_1 (a1195)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H164 zenon_H12 zenon_Haf zenon_Hfd zenon_Hae zenon_Hb0. % 0.88/1.08 generalize (zenon_H164 (a1195)). zenon_intro zenon_H1e0. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1e0); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e1 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H1e2 ]. % 0.88/1.08 exact (zenon_Haf zenon_Hb6). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1db | zenon_intro zenon_Hb5 ]. % 0.88/1.08 apply (zenon_L139_); trivial. % 0.88/1.08 exact (zenon_Hb5 zenon_Hb0). % 0.88/1.08 (* end of lemma zenon_L140_ *) % 0.88/1.08 assert (zenon_L141_ : ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (c2_1 (a1195)) -> (~(c1_1 (a1195))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4))))) -> (~(c3_1 (a1195))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp14)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1cf zenon_Hb0 zenon_Hae zenon_Hfd zenon_Haf zenon_H12 zenon_H31 zenon_H5. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H164 | zenon_intro zenon_H1d0 ]. % 0.88/1.08 apply (zenon_L140_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H32 | zenon_intro zenon_H6 ]. % 0.88/1.08 exact (zenon_H31 zenon_H32). % 0.88/1.08 exact (zenon_H5 zenon_H6). % 0.88/1.08 (* end of lemma zenon_L141_ *) % 0.88/1.08 assert (zenon_L142_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H180 zenon_H12 zenon_H1db zenon_Haf zenon_Hb0. % 0.88/1.08 generalize (zenon_H180 (a1195)). zenon_intro zenon_H1e3. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1e3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e4 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1df | zenon_intro zenon_Hb3 ]. % 0.88/1.08 exact (zenon_H1db zenon_H1df). % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ]. % 0.88/1.08 exact (zenon_Haf zenon_Hb6). % 0.88/1.08 exact (zenon_Hb5 zenon_Hb0). % 0.88/1.08 (* end of lemma zenon_L142_ *) % 0.88/1.08 assert (zenon_L143_ : (forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c3_1 (a1195))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a1195)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H164 zenon_H12 zenon_Haf zenon_H180 zenon_Hb0. % 0.88/1.08 generalize (zenon_H164 (a1195)). zenon_intro zenon_H1e0. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1e0); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e1 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H1e2 ]. % 0.88/1.08 exact (zenon_Haf zenon_Hb6). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1db | zenon_intro zenon_Hb5 ]. % 0.88/1.08 apply (zenon_L142_); trivial. % 0.88/1.08 exact (zenon_Hb5 zenon_Hb0). % 0.88/1.08 (* end of lemma zenon_L143_ *) % 0.88/1.08 assert (zenon_L144_ : ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (c2_1 (a1195)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a1195))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp14)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1cf zenon_Hb0 zenon_H180 zenon_Haf zenon_H12 zenon_H31 zenon_H5. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H164 | zenon_intro zenon_H1d0 ]. % 0.88/1.08 apply (zenon_L143_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H32 | zenon_intro zenon_H6 ]. % 0.88/1.08 exact (zenon_H31 zenon_H32). % 0.88/1.08 exact (zenon_H5 zenon_H6). % 0.88/1.08 (* end of lemma zenon_L144_ *) % 0.88/1.08 assert (zenon_L145_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a1182))) -> (c2_1 (a1182)) -> (c3_1 (a1182)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1e5 zenon_H12 zenon_H11d zenon_H113 zenon_H114. % 0.88/1.08 generalize (zenon_H1e5 (a1182)). zenon_intro zenon_H1e6. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1e6); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e7 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H119 | zenon_intro zenon_H11c ]. % 0.88/1.08 exact (zenon_H11d zenon_H119). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H11f | zenon_intro zenon_H11e ]. % 0.88/1.08 exact (zenon_H11f zenon_H113). % 0.88/1.08 exact (zenon_H11e zenon_H114). % 0.88/1.08 (* end of lemma zenon_L145_ *) % 0.88/1.08 assert (zenon_L146_ : (forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c2_1 (a1182)) -> (c3_1 (a1182)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H27 zenon_H12 zenon_H1e5 zenon_H113 zenon_H114. % 0.88/1.08 generalize (zenon_H27 (a1182)). zenon_intro zenon_H11a. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H11a); [ zenon_intro zenon_H11 | zenon_intro zenon_H11b ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H11d | zenon_intro zenon_H11c ]. % 0.88/1.08 apply (zenon_L145_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H11f | zenon_intro zenon_H11e ]. % 0.88/1.08 exact (zenon_H11f zenon_H113). % 0.88/1.08 exact (zenon_H11e zenon_H114). % 0.88/1.08 (* end of lemma zenon_L146_ *) % 0.88/1.08 assert (zenon_L147_ : ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c3_1 (a1182)) -> (c2_1 (a1182)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp2)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H34 zenon_H114 zenon_H113 zenon_H1e5 zenon_H12 zenon_H31 zenon_Hd. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H27 | zenon_intro zenon_H37 ]. % 0.88/1.08 apply (zenon_L146_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H32 | zenon_intro zenon_He ]. % 0.88/1.08 exact (zenon_H31 zenon_H32). % 0.88/1.08 exact (zenon_Hd zenon_He). % 0.88/1.08 (* end of lemma zenon_L147_ *) % 0.88/1.08 assert (zenon_L148_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a1195))) -> (~(hskp14)) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp22)) -> (~(hskp2)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H12d zenon_H1e8 zenon_Hae zenon_H5 zenon_Haf zenon_Hb0 zenon_H1cf zenon_H34 zenon_H31 zenon_Hd. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.08 apply (zenon_L141_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.08 apply (zenon_L144_); trivial. % 0.88/1.08 apply (zenon_L147_); trivial. % 0.88/1.08 (* end of lemma zenon_L148_ *) % 0.88/1.08 assert (zenon_L149_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c3_1 (a1195))) -> (~(c1_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (~(hskp22)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (ndr1_0) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1cf zenon_H5 zenon_H31 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H12 zenon_H1d9. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.08 apply (zenon_L138_); trivial. % 0.88/1.08 apply (zenon_L148_); trivial. % 0.88/1.08 (* end of lemma zenon_L149_ *) % 0.88/1.08 assert (zenon_L150_ : ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> (c0_1 (a1211)) -> (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))) -> (~(c1_1 (a1211))) -> (ndr1_0) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1e zenon_H1 zenon_H45 zenon_H44 zenon_H43 zenon_H12. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2 ]. % 0.88/1.08 apply (zenon_L20_); trivial. % 0.88/1.08 exact (zenon_H1 zenon_H2). % 0.88/1.08 (* end of lemma zenon_L150_ *) % 0.88/1.08 assert (zenon_L151_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c3_1 (a1202)) -> (c1_1 (a1202)) -> (~(c0_1 (a1202))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp12)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H7f zenon_H8f zenon_H86 zenon_H85 zenon_H84 zenon_H1 zenon_H1e zenon_H8d. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.08 apply (zenon_L32_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.08 apply (zenon_L150_); trivial. % 0.88/1.08 exact (zenon_H8d zenon_H8e). % 0.88/1.08 (* end of lemma zenon_L151_ *) % 0.88/1.08 assert (zenon_L152_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (c2_1 (a1195)) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H91 zenon_H92 zenon_H8f zenon_H8d zenon_H1 zenon_H1e zenon_H1d9 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H5 zenon_H1cf zenon_Hb0 zenon_Hae zenon_Haf zenon_H34 zenon_Hd zenon_H1e8 zenon_H132. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.08 apply (zenon_L149_); trivial. % 0.88/1.08 apply (zenon_L151_); trivial. % 0.88/1.08 (* end of lemma zenon_L152_ *) % 0.88/1.08 assert (zenon_L153_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (ndr1_0) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hcd zenon_H95 zenon_H8f zenon_H8d zenon_H1 zenon_H1e zenon_H1d9 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H1cf zenon_H167 zenon_H166 zenon_H165 zenon_Hc8 zenon_Hc4 zenon_H54 zenon_H74 zenon_H3c zenon_H3a zenon_H3b zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1a9 zenon_H1ab zenon_H80 zenon_Hc7 zenon_H92 zenon_H12 zenon_H15b zenon_H15c zenon_H15d zenon_H5 zenon_Hab. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.08 apply (zenon_L131_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.08 apply (zenon_L132_); trivial. % 0.88/1.08 apply (zenon_L135_); trivial. % 0.88/1.08 apply (zenon_L152_); trivial. % 0.88/1.08 (* end of lemma zenon_L153_ *) % 0.88/1.08 assert (zenon_L154_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1d zenon_Hc7 zenon_Hc4 zenon_H15b zenon_H15c zenon_H15d zenon_Hae zenon_Haf zenon_Hb0 zenon_Hc8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc3 ]. % 0.88/1.08 apply (zenon_L98_); trivial. % 0.88/1.08 apply (zenon_L46_); trivial. % 0.88/1.08 (* end of lemma zenon_L154_ *) % 0.88/1.08 assert (zenon_L155_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hca zenon_H21 zenon_Hc7 zenon_Hc4 zenon_H15b zenon_H15c zenon_H15d zenon_Hc8 zenon_Hb zenon_Hd zenon_Hf. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.08 apply (zenon_L8_); trivial. % 0.88/1.08 apply (zenon_L154_); trivial. % 0.88/1.08 (* end of lemma zenon_L155_ *) % 0.88/1.08 assert (zenon_L156_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (ndr1_0) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp11)\/(hskp15))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hcd zenon_H21 zenon_Hc7 zenon_Hc4 zenon_H15b zenon_H15c zenon_H15d zenon_Hc8 zenon_Hb zenon_Hd zenon_Hf zenon_H12 zenon_H165 zenon_H166 zenon_H167 zenon_H12b zenon_H16e. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.08 apply (zenon_L94_); trivial. % 0.88/1.08 apply (zenon_L155_); trivial. % 0.88/1.08 (* end of lemma zenon_L156_ *) % 0.88/1.08 assert (zenon_L157_ : ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c3_1 (a1190)) -> (c1_1 (a1190)) -> (c0_1 (a1190)) -> (c0_1 (a1211)) -> (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))) -> (~(c1_1 (a1211))) -> (ndr1_0) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hc4 zenon_Hbc zenon_Hbb zenon_Hba zenon_H45 zenon_H44 zenon_H43 zenon_H12. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H13 | zenon_intro zenon_Hb9 ]. % 0.88/1.08 apply (zenon_L20_); trivial. % 0.88/1.08 apply (zenon_L45_); trivial. % 0.88/1.08 (* end of lemma zenon_L157_ *) % 0.88/1.08 assert (zenon_L158_ : ((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (c3_1 (a1211)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hc3 zenon_He3 zenon_H9d zenon_H9c zenon_H9b zenon_Hc4 zenon_H43 zenon_H45 zenon_H5b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H12. zenon_intro zenon_Hc5. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He0 | zenon_intro zenon_He4 ]. % 0.88/1.08 apply (zenon_L54_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H44 | zenon_intro zenon_H5a ]. % 0.88/1.08 apply (zenon_L157_); trivial. % 0.88/1.08 apply (zenon_L26_); trivial. % 0.88/1.08 (* end of lemma zenon_L158_ *) % 0.88/1.08 assert (zenon_L159_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H7f zenon_Hc7 zenon_He3 zenon_Hc4 zenon_H9d zenon_H9c zenon_H9b zenon_H15b zenon_H15c zenon_H15d zenon_Hae zenon_Haf zenon_Hb0 zenon_Hc8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc3 ]. % 0.88/1.08 apply (zenon_L98_); trivial. % 0.88/1.08 apply (zenon_L158_); trivial. % 0.88/1.08 (* end of lemma zenon_L159_ *) % 0.88/1.08 assert (zenon_L160_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> (ndr1_0) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hcd zenon_H92 zenon_Hc7 zenon_He3 zenon_Hc4 zenon_H9d zenon_H9c zenon_H9b zenon_Hc8 zenon_H1d9 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1cf zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H12 zenon_H15b zenon_H15c zenon_H15d zenon_H5 zenon_Hab. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.08 apply (zenon_L131_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.08 apply (zenon_L149_); trivial. % 0.88/1.08 apply (zenon_L159_); trivial. % 0.88/1.08 (* end of lemma zenon_L160_ *) % 0.88/1.08 assert (zenon_L161_ : ((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp11)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1c8 zenon_H1cc zenon_H1cd zenon_H174 zenon_He3 zenon_H16e zenon_H21 zenon_H1e zenon_H1 zenon_Hd zenon_Hf zenon_Hcd zenon_H95 zenon_H8f zenon_H1d9 zenon_H34 zenon_H1e8 zenon_H132 zenon_H1cf zenon_H167 zenon_H166 zenon_H165 zenon_Hc8 zenon_Hc4 zenon_H54 zenon_H74 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1ab zenon_H80 zenon_Hc7 zenon_H92 zenon_Hab zenon_H10c zenon_H1ad zenon_Hf3 zenon_H1af zenon_H136 zenon_Hdc zenon_H96 zenon_H3 zenon_H17c zenon_H143 zenon_H192 zenon_H141 zenon_H194 zenon_H15a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.08 apply (zenon_L12_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.08 apply (zenon_L153_); trivial. % 0.88/1.08 apply (zenon_L120_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.08 apply (zenon_L156_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.08 apply (zenon_L160_); trivial. % 0.88/1.08 apply (zenon_L120_); trivial. % 0.88/1.08 apply (zenon_L110_); trivial. % 0.88/1.08 apply (zenon_L130_); trivial. % 0.88/1.08 (* end of lemma zenon_L161_ *) % 0.88/1.08 assert (zenon_L162_ : ((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> (~(hskp13)) -> (~(hskp10)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H33 zenon_H1ea zenon_Hb zenon_H1a9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H12. zenon_intro zenon_H35. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H28. zenon_intro zenon_H36. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H27 | zenon_intro zenon_H1eb ]. % 0.88/1.08 apply (zenon_L15_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_Hc | zenon_intro zenon_H1aa ]. % 0.88/1.08 exact (zenon_Hb zenon_Hc). % 0.88/1.08 exact (zenon_H1a9 zenon_H1aa). % 0.88/1.08 (* end of lemma zenon_L162_ *) % 0.88/1.08 assert (zenon_L163_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> (~(hskp13)) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H38 zenon_H1ea zenon_H1a9 zenon_Hb zenon_H22 zenon_H24. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H25 | zenon_intro zenon_H33 ]. % 0.88/1.08 apply (zenon_L14_); trivial. % 0.88/1.08 apply (zenon_L162_); trivial. % 0.88/1.08 (* end of lemma zenon_L163_ *) % 0.88/1.08 assert (zenon_L164_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a1192)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (~(hskp1)) -> (~(hskp16)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H21 zenon_H58 zenon_H56 zenon_H3c zenon_H3b zenon_H3a zenon_H3 zenon_H17d zenon_H17c. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.08 apply (zenon_L102_); trivial. % 0.88/1.08 apply (zenon_L82_); trivial. % 0.88/1.08 (* end of lemma zenon_L164_ *) % 0.88/1.08 assert (zenon_L165_ : (~(hskp21)) -> (hskp21) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1ec zenon_H1ed. % 0.88/1.08 exact (zenon_H1ec zenon_H1ed). % 0.88/1.08 (* end of lemma zenon_L165_ *) % 0.88/1.08 assert (zenon_L166_ : ((hskp8)\/((hskp21)\/(hskp19))) -> (~(hskp8)) -> (~(hskp21)) -> (~(hskp19)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1ee zenon_H22 zenon_H1ec zenon_Hef. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H23 | zenon_intro zenon_H1ef ]. % 0.88/1.08 exact (zenon_H22 zenon_H23). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1ed | zenon_intro zenon_Hf0 ]. % 0.88/1.08 exact (zenon_H1ec zenon_H1ed). % 0.88/1.08 exact (zenon_Hef zenon_Hf0). % 0.88/1.08 (* end of lemma zenon_L166_ *) % 0.88/1.08 assert (zenon_L167_ : (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(c0_1 (a1172))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a1172)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H83 zenon_H12 zenon_H1f0 zenon_H1f1 zenon_H1f2. % 0.88/1.08 generalize (zenon_H83 (a1172)). zenon_intro zenon_H1f3. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f4 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f5 ]. % 0.88/1.08 exact (zenon_H1f0 zenon_H1f6). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ]. % 0.88/1.08 generalize (zenon_H1f1 (a1172)). zenon_intro zenon_H1f9. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1f9); [ zenon_intro zenon_H11 | zenon_intro zenon_H1fa ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1fb ]. % 0.88/1.08 exact (zenon_H1f0 zenon_H1f6). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1f7 ]. % 0.88/1.08 exact (zenon_H1f8 zenon_H1fc). % 0.88/1.08 exact (zenon_H1f7 zenon_H1f2). % 0.88/1.08 exact (zenon_H1f7 zenon_H1f2). % 0.88/1.08 (* end of lemma zenon_L167_ *) % 0.88/1.08 assert (zenon_L168_ : (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (~(c1_1 (a1207))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a1207)) -> (c2_1 (a1207)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H44 zenon_H12 zenon_H1fd zenon_H1f1 zenon_H1fe zenon_H1ff. % 0.88/1.08 generalize (zenon_H44 (a1207)). zenon_intro zenon_H200. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H200); [ zenon_intro zenon_H11 | zenon_intro zenon_H201 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H203 | zenon_intro zenon_H202 ]. % 0.88/1.08 exact (zenon_H1fd zenon_H203). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H205 | zenon_intro zenon_H204 ]. % 0.88/1.08 generalize (zenon_H1f1 (a1207)). zenon_intro zenon_H206. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H206); [ zenon_intro zenon_H11 | zenon_intro zenon_H207 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H209 | zenon_intro zenon_H208 ]. % 0.88/1.08 exact (zenon_H205 zenon_H209). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H203 | zenon_intro zenon_H20a ]. % 0.88/1.08 exact (zenon_H1fd zenon_H203). % 0.88/1.08 exact (zenon_H20a zenon_H1fe). % 0.88/1.08 exact (zenon_H204 zenon_H1ff). % 0.88/1.08 (* end of lemma zenon_L168_ *) % 0.88/1.08 assert (zenon_L169_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> (c2_1 (a1207)) -> (c3_1 (a1207)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c1_1 (a1207))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H8f zenon_H1f2 zenon_H1f0 zenon_H1ff zenon_H1fe zenon_H1f1 zenon_H1fd zenon_H12 zenon_H8d. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.08 apply (zenon_L167_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.08 apply (zenon_L168_); trivial. % 0.88/1.08 exact (zenon_H8d zenon_H8e). % 0.88/1.08 (* end of lemma zenon_L169_ *) % 0.88/1.08 assert (zenon_L170_ : (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c3_1 (a1199))) -> (c1_1 (a1199)) -> (c2_1 (a1199)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H20b zenon_H12 zenon_H182 zenon_H20c zenon_H183. % 0.88/1.08 generalize (zenon_H20b (a1199)). zenon_intro zenon_H20d. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_H11 | zenon_intro zenon_H20e ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H189 | zenon_intro zenon_H20f ]. % 0.88/1.08 exact (zenon_H182 zenon_H189). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H210 | zenon_intro zenon_H188 ]. % 0.88/1.08 exact (zenon_H210 zenon_H20c). % 0.88/1.08 exact (zenon_H188 zenon_H183). % 0.88/1.08 (* end of lemma zenon_L170_ *) % 0.88/1.08 assert (zenon_L171_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4))))) -> (ndr1_0) -> (~(c0_1 (a1199))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a1199))) -> (c2_1 (a1199)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hfd zenon_H12 zenon_H181 zenon_H20b zenon_H182 zenon_H183. % 0.88/1.08 generalize (zenon_Hfd (a1199)). zenon_intro zenon_H211. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H211); [ zenon_intro zenon_H11 | zenon_intro zenon_H212 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H187 | zenon_intro zenon_H213 ]. % 0.88/1.08 exact (zenon_H181 zenon_H187). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H20c | zenon_intro zenon_H189 ]. % 0.88/1.08 apply (zenon_L170_); trivial. % 0.88/1.08 exact (zenon_H182 zenon_H189). % 0.88/1.08 (* end of lemma zenon_L171_ *) % 0.88/1.08 assert (zenon_L172_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1e5 zenon_H12 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.08 generalize (zenon_H1e5 (a1172)). zenon_intro zenon_H215. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H215); [ zenon_intro zenon_H11 | zenon_intro zenon_H216 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H217 ]. % 0.88/1.08 exact (zenon_H1f0 zenon_H1f6). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H218 | zenon_intro zenon_H1f7 ]. % 0.88/1.08 exact (zenon_H218 zenon_H214). % 0.88/1.08 exact (zenon_H1f7 zenon_H1f2). % 0.88/1.08 (* end of lemma zenon_L172_ *) % 0.88/1.08 assert (zenon_L173_ : ((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H219 zenon_H1e8 zenon_H8f zenon_H8d zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_H21a zenon_H183 zenon_H182 zenon_H181 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ff. zenon_intro zenon_H21c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.08 apply (zenon_L50_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.08 apply (zenon_L169_); trivial. % 0.88/1.08 apply (zenon_L171_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.08 apply (zenon_L104_); trivial. % 0.88/1.08 apply (zenon_L172_); trivial. % 0.88/1.08 (* end of lemma zenon_L173_ *) % 0.88/1.08 assert (zenon_L174_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1172)) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c0_1 (a1199))) -> (~(c3_1 (a1199))) -> (c2_1 (a1199)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp19)) -> ((hskp8)\/((hskp21)\/(hskp19))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H21e zenon_H1e8 zenon_H214 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_H8f zenon_H8d zenon_H1f2 zenon_H1f0 zenon_H181 zenon_H182 zenon_H183 zenon_H21a zenon_H22 zenon_Hef zenon_H1ee. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H1ec | zenon_intro zenon_H219 ]. % 0.88/1.08 apply (zenon_L166_); trivial. % 0.88/1.08 apply (zenon_L173_); trivial. % 0.88/1.08 (* end of lemma zenon_L174_ *) % 0.88/1.08 assert (zenon_L175_ : (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(c0_1 (a1172))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H83 zenon_H12 zenon_H1f0 zenon_Hce zenon_H214 zenon_H1f2. % 0.88/1.08 generalize (zenon_H83 (a1172)). zenon_intro zenon_H1f3. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f4 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f5 ]. % 0.88/1.08 exact (zenon_H1f0 zenon_H1f6). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ]. % 0.88/1.08 generalize (zenon_Hce (a1172)). zenon_intro zenon_H21f. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H21f); [ zenon_intro zenon_H11 | zenon_intro zenon_H220 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H221 ]. % 0.88/1.08 exact (zenon_H1f0 zenon_H1f6). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H1fc | zenon_intro zenon_H218 ]. % 0.88/1.08 exact (zenon_H1f8 zenon_H1fc). % 0.88/1.08 exact (zenon_H218 zenon_H214). % 0.88/1.08 exact (zenon_H1f7 zenon_H1f2). % 0.88/1.08 (* end of lemma zenon_L175_ *) % 0.88/1.08 assert (zenon_L176_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (~(c0_1 (a1172))) -> (c3_1 (a1204)) -> (~(c2_1 (a1204))) -> (~(c1_1 (a1204))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H12e zenon_H1f2 zenon_H214 zenon_Hce zenon_H1f0 zenon_H124 zenon_H123 zenon_H122 zenon_H12 zenon_H12b. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H83 | zenon_intro zenon_H131 ]. % 0.88/1.08 apply (zenon_L175_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H121 | zenon_intro zenon_H12c ]. % 0.88/1.08 apply (zenon_L73_); trivial. % 0.88/1.08 exact (zenon_H12b zenon_H12c). % 0.88/1.08 (* end of lemma zenon_L176_ *) % 0.88/1.08 assert (zenon_L177_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (c3_1 (a1172)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1172))) -> (c3_1 (a1204)) -> (~(c2_1 (a1204))) -> (~(c1_1 (a1204))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H12e zenon_H1f2 zenon_H1f1 zenon_H1f0 zenon_H124 zenon_H123 zenon_H122 zenon_H12 zenon_H12b. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H83 | zenon_intro zenon_H131 ]. % 0.88/1.08 apply (zenon_L167_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H121 | zenon_intro zenon_H12c ]. % 0.88/1.08 apply (zenon_L73_); trivial. % 0.88/1.08 exact (zenon_H12b zenon_H12c). % 0.88/1.08 (* end of lemma zenon_L177_ *) % 0.88/1.08 assert (zenon_L178_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H133 zenon_H1e8 zenon_H12e zenon_H12b zenon_H21a zenon_H183 zenon_H182 zenon_H181 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.08 apply (zenon_L176_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.08 apply (zenon_L177_); trivial. % 0.88/1.08 apply (zenon_L171_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.08 apply (zenon_L104_); trivial. % 0.88/1.08 apply (zenon_L172_); trivial. % 0.88/1.08 (* end of lemma zenon_L178_ *) % 0.88/1.08 assert (zenon_L179_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((hskp8)\/((hskp21)\/(hskp19))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c2_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hdd zenon_H194 zenon_H136 zenon_H12e zenon_H12b zenon_H1ee zenon_H22 zenon_H21a zenon_H1f0 zenon_H1f2 zenon_H8d zenon_H8f zenon_H214 zenon_H1e8 zenon_H21e zenon_H17c zenon_H3 zenon_H3a zenon_H3b zenon_H3c zenon_H56 zenon_H58 zenon_H21. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.08 apply (zenon_L164_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.08 apply (zenon_L174_); trivial. % 0.88/1.08 apply (zenon_L178_); trivial. % 0.88/1.08 (* end of lemma zenon_L179_ *) % 0.88/1.08 assert (zenon_L180_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((hskp8)\/((hskp21)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c2_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp0)\/((hskp1)\/(hskp14))) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H96 zenon_Hdc zenon_H194 zenon_H136 zenon_H12e zenon_H12b zenon_H1ee zenon_H21a zenon_H1f0 zenon_H1f2 zenon_H8d zenon_H8f zenon_H214 zenon_H1e8 zenon_H21e zenon_H17c zenon_H56 zenon_H58 zenon_H21 zenon_H1 zenon_H3 zenon_H7 zenon_H24 zenon_H22 zenon_H1a9 zenon_H1ea zenon_H38. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.08 apply (zenon_L163_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.08 apply (zenon_L4_); trivial. % 0.88/1.08 apply (zenon_L179_); trivial. % 0.88/1.08 (* end of lemma zenon_L180_ *) % 0.88/1.08 assert (zenon_L181_ : (~(hskp6)) -> (hskp6) -> False). % 0.88/1.08 do 0 intro. intros zenon_H222 zenon_H223. % 0.88/1.08 exact (zenon_H222 zenon_H223). % 0.88/1.08 (* end of lemma zenon_L181_ *) % 0.88/1.08 assert (zenon_L182_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H175 zenon_H224 zenon_Hf9 zenon_H222. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He0 | zenon_intro zenon_H225 ]. % 0.88/1.08 apply (zenon_L54_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hfa | zenon_intro zenon_H223 ]. % 0.88/1.08 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.08 exact (zenon_H222 zenon_H223). % 0.88/1.08 (* end of lemma zenon_L182_ *) % 0.88/1.08 assert (zenon_L183_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H145 zenon_H96 zenon_H21 zenon_H141 zenon_H58 zenon_H56 zenon_H143 zenon_H92 zenon_H24 zenon_H22 zenon_H1a9 zenon_H1ea zenon_H38. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.08 apply (zenon_L163_); trivial. % 0.88/1.08 apply (zenon_L83_); trivial. % 0.88/1.08 (* end of lemma zenon_L183_ *) % 0.88/1.08 assert (zenon_L184_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((hskp8)\/((hskp21)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c2_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp0)\/((hskp1)\/(hskp14))) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H15a zenon_H141 zenon_H143 zenon_H92 zenon_H96 zenon_Hdc zenon_H194 zenon_H136 zenon_H12e zenon_H1ee zenon_H21a zenon_H1f0 zenon_H1f2 zenon_H8f zenon_H214 zenon_H1e8 zenon_H21e zenon_H17c zenon_H56 zenon_H58 zenon_H21 zenon_H1 zenon_H3 zenon_H7 zenon_H24 zenon_H22 zenon_H1a9 zenon_H1ea zenon_H38 zenon_Hf9 zenon_H222 zenon_H224 zenon_H174. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.08 apply (zenon_L180_); trivial. % 0.88/1.08 apply (zenon_L182_); trivial. % 0.88/1.08 apply (zenon_L183_); trivial. % 0.88/1.08 (* end of lemma zenon_L184_ *) % 0.88/1.08 assert (zenon_L185_ : (~(hskp24)) -> (hskp24) -> False). % 0.88/1.08 do 0 intro. intros zenon_H226 zenon_H227. % 0.88/1.08 exact (zenon_H226 zenon_H227). % 0.88/1.08 (* end of lemma zenon_L185_ *) % 0.88/1.08 assert (zenon_L186_ : ((hskp26)\/((hskp17)\/(hskp24))) -> (~(hskp26)) -> (~(hskp17)) -> (~(hskp24)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H228 zenon_Hb7 zenon_H9 zenon_H226. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H229 ]. % 0.88/1.08 exact (zenon_Hb7 zenon_Hb8). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha | zenon_intro zenon_H227 ]. % 0.88/1.08 exact (zenon_H9 zenon_Ha). % 0.88/1.08 exact (zenon_H226 zenon_H227). % 0.88/1.08 (* end of lemma zenon_L186_ *) % 0.88/1.08 assert (zenon_L187_ : ((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp10)) -> (~(hskp13)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> (~(hskp3)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hc3 zenon_Hfb zenon_He8 zenon_He7 zenon_He6 zenon_H1a9 zenon_Hb zenon_H1ea zenon_Hf9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H12. zenon_intro zenon_Hc5. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 0.88/1.08 apply (zenon_L59_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H27 | zenon_intro zenon_H1eb ]. % 0.88/1.08 apply (zenon_L112_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_Hc | zenon_intro zenon_H1aa ]. % 0.88/1.08 exact (zenon_Hb zenon_Hc). % 0.88/1.08 exact (zenon_H1a9 zenon_H1aa). % 0.88/1.08 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.08 (* end of lemma zenon_L187_ *) % 0.88/1.08 assert (zenon_L188_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp13)) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp17)) -> (~(hskp24)) -> ((hskp26)\/((hskp17)\/(hskp24))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hc7 zenon_Hfb zenon_Hf9 zenon_Hb zenon_H1a9 zenon_H1ea zenon_He8 zenon_He7 zenon_He6 zenon_H9 zenon_H226 zenon_H228. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc3 ]. % 0.88/1.08 apply (zenon_L186_); trivial. % 0.88/1.08 apply (zenon_L187_); trivial. % 0.88/1.08 (* end of lemma zenon_L188_ *) % 0.88/1.08 assert (zenon_L189_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a1232))) -> (~(c1_1 (a1232))) -> (c3_1 (a1232)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1f1 zenon_H12 zenon_H22a zenon_H22b zenon_H22c. % 0.88/1.08 generalize (zenon_H1f1 (a1232)). zenon_intro zenon_H22d. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H22d); [ zenon_intro zenon_H11 | zenon_intro zenon_H22e ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H230 | zenon_intro zenon_H22f ]. % 0.88/1.08 exact (zenon_H22a zenon_H230). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H232 | zenon_intro zenon_H231 ]. % 0.88/1.08 exact (zenon_H22b zenon_H232). % 0.88/1.08 exact (zenon_H231 zenon_H22c). % 0.88/1.08 (* end of lemma zenon_L189_ *) % 0.88/1.08 assert (zenon_L190_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (c3_1 (a1232)) -> (~(c1_1 (a1232))) -> (~(c0_1 (a1232))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4))))) -> (ndr1_0) -> (~(c0_1 (a1199))) -> (~(c3_1 (a1199))) -> (c2_1 (a1199)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H21a zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H22c zenon_H22b zenon_H22a zenon_Hfd zenon_H12 zenon_H181 zenon_H182 zenon_H183. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.08 apply (zenon_L50_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.08 apply (zenon_L189_); trivial. % 0.88/1.08 apply (zenon_L171_); trivial. % 0.88/1.08 (* end of lemma zenon_L190_ *) % 0.88/1.08 assert (zenon_L191_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c1_1 (a1232)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H233 zenon_H1e8 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_H21a zenon_H183 zenon_H182 zenon_H181 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H22c. zenon_intro zenon_H235. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22a. zenon_intro zenon_H22b. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.08 apply (zenon_L190_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.08 apply (zenon_L104_); trivial. % 0.88/1.08 apply (zenon_L172_); trivial. % 0.88/1.08 (* end of lemma zenon_L191_ *) % 0.88/1.08 assert (zenon_L192_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H107 zenon_H1e8 zenon_H183 zenon_H182 zenon_H181 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.08 apply (zenon_L65_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.08 apply (zenon_L104_); trivial. % 0.88/1.08 apply (zenon_L172_); trivial. % 0.88/1.08 (* end of lemma zenon_L192_ *) % 0.88/1.08 assert (zenon_L193_ : (~(hskp20)) -> (hskp20) -> False). % 0.88/1.08 do 0 intro. intros zenon_H236 zenon_H237. % 0.88/1.08 exact (zenon_H236 zenon_H237). % 0.88/1.08 (* end of lemma zenon_L193_ *) % 0.88/1.08 assert (zenon_L194_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp12)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H238 zenon_H214 zenon_H1f2 zenon_H1f0 zenon_H83 zenon_H12 zenon_H236 zenon_H8d. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H7b | zenon_intro zenon_H239 ]. % 0.88/1.08 generalize (zenon_H7b (a1172)). zenon_intro zenon_H23a. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H23a); [ zenon_intro zenon_H11 | zenon_intro zenon_H23b ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1fc | zenon_intro zenon_H217 ]. % 0.88/1.08 generalize (zenon_H83 (a1172)). zenon_intro zenon_H1f3. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f4 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f5 ]. % 0.88/1.08 exact (zenon_H1f0 zenon_H1f6). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ]. % 0.88/1.08 exact (zenon_H1f8 zenon_H1fc). % 0.88/1.08 exact (zenon_H1f7 zenon_H1f2). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H218 | zenon_intro zenon_H1f7 ]. % 0.88/1.08 exact (zenon_H218 zenon_H214). % 0.88/1.08 exact (zenon_H1f7 zenon_H1f2). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H237 | zenon_intro zenon_H8e ]. % 0.88/1.08 exact (zenon_H236 zenon_H237). % 0.88/1.08 exact (zenon_H8d zenon_H8e). % 0.88/1.08 (* end of lemma zenon_L194_ *) % 0.88/1.08 assert (zenon_L195_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp12)) -> (~(hskp20)) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (c3_1 (a1204)) -> (~(c2_1 (a1204))) -> (~(c1_1 (a1204))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H12e zenon_H8d zenon_H236 zenon_H1f0 zenon_H1f2 zenon_H214 zenon_H238 zenon_H124 zenon_H123 zenon_H122 zenon_H12 zenon_H12b. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H83 | zenon_intro zenon_H131 ]. % 0.88/1.08 apply (zenon_L194_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H121 | zenon_intro zenon_H12c ]. % 0.88/1.08 apply (zenon_L73_); trivial. % 0.88/1.08 exact (zenon_H12b zenon_H12c). % 0.88/1.08 (* end of lemma zenon_L195_ *) % 0.88/1.08 assert (zenon_L196_ : (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33)))))) -> (ndr1_0) -> (~(c2_1 (a1205))) -> (c1_1 (a1205)) -> (c3_1 (a1205)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hf4 zenon_H12 zenon_H23c zenon_H23d zenon_H23e. % 0.88/1.08 generalize (zenon_Hf4 (a1205)). zenon_intro zenon_H23f. % 0.88/1.08 apply (zenon_imply_s _ _ zenon_H23f); [ zenon_intro zenon_H11 | zenon_intro zenon_H240 ]. % 0.88/1.08 exact (zenon_H11 zenon_H12). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H242 | zenon_intro zenon_H241 ]. % 0.88/1.08 exact (zenon_H23c zenon_H242). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H244 | zenon_intro zenon_H243 ]. % 0.88/1.08 exact (zenon_H244 zenon_H23d). % 0.88/1.08 exact (zenon_H243 zenon_H23e). % 0.88/1.08 (* end of lemma zenon_L196_ *) % 0.88/1.08 assert (zenon_L197_ : ((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp3)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H245 zenon_Hfb zenon_He8 zenon_He7 zenon_He6 zenon_Hf9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H12. zenon_intro zenon_H246. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H23d. zenon_intro zenon_H247. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H23e. zenon_intro zenon_H23c. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 0.88/1.08 apply (zenon_L59_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 0.88/1.08 apply (zenon_L196_); trivial. % 0.88/1.08 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.08 (* end of lemma zenon_L197_ *) % 0.88/1.08 assert (zenon_L198_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H133 zenon_H248 zenon_Hfb zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H238 zenon_H8d zenon_H214 zenon_H1f2 zenon_H1f0 zenon_H12b zenon_H12e. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H236 | zenon_intro zenon_H245 ]. % 0.88/1.08 apply (zenon_L195_); trivial. % 0.88/1.08 apply (zenon_L197_); trivial. % 0.88/1.08 (* end of lemma zenon_L198_ *) % 0.88/1.08 assert (zenon_L199_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((hskp26)\/((hskp17)\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c1_1 (a1232))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp0)\/((hskp1)\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H174 zenon_H224 zenon_H222 zenon_Hdc zenon_H194 zenon_Hc7 zenon_Hfb zenon_Hf9 zenon_H1a9 zenon_H1ea zenon_He8 zenon_He7 zenon_He6 zenon_H228 zenon_H21a zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H249 zenon_H17c zenon_H1e zenon_H21 zenon_H1 zenon_H3 zenon_H7 zenon_H58 zenon_H56 zenon_H10c zenon_Hf3 zenon_H12e zenon_H12b zenon_H238 zenon_H248 zenon_H136 zenon_H96. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.08 apply (zenon_L4_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.08 apply (zenon_L103_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H226 | zenon_intro zenon_H233 ]. % 0.88/1.08 apply (zenon_L188_); trivial. % 0.88/1.08 apply (zenon_L191_); trivial. % 0.88/1.08 apply (zenon_L11_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.09 apply (zenon_L164_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.09 apply (zenon_L64_); trivial. % 0.88/1.09 apply (zenon_L192_); trivial. % 0.88/1.09 apply (zenon_L198_); trivial. % 0.88/1.09 apply (zenon_L182_); trivial. % 0.88/1.09 (* end of lemma zenon_L199_ *) % 0.88/1.09 assert (zenon_L200_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp20)) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp12)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H7f zenon_H8f zenon_H236 zenon_H1f0 zenon_H1f2 zenon_H214 zenon_H238 zenon_H1 zenon_H1e zenon_H8d. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.09 apply (zenon_L194_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.09 apply (zenon_L150_); trivial. % 0.88/1.09 exact (zenon_H8d zenon_H8e). % 0.88/1.09 (* end of lemma zenon_L200_ *) % 0.88/1.09 assert (zenon_L201_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(hskp20)) -> (~(hskp12)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H92 zenon_H8f zenon_H1 zenon_H1e zenon_H1f0 zenon_H1f2 zenon_H214 zenon_H236 zenon_H8d zenon_H238 zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H9 zenon_H141. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.09 apply (zenon_L80_); trivial. % 0.88/1.09 apply (zenon_L200_); trivial. % 0.88/1.09 (* end of lemma zenon_L201_ *) % 0.88/1.09 assert (zenon_L202_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61)))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (~(c2_1 (a1205))) -> (c1_1 (a1205)) -> (c3_1 (a1205)) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hb9 zenon_H12 zenon_H39 zenon_H23c zenon_H23d zenon_H23e. % 0.88/1.09 generalize (zenon_Hb9 (a1205)). zenon_intro zenon_H24a. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H24a); [ zenon_intro zenon_H11 | zenon_intro zenon_H24b ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H24c | zenon_intro zenon_H241 ]. % 0.88/1.09 generalize (zenon_H39 (a1205)). zenon_intro zenon_H24d. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H24d); [ zenon_intro zenon_H11 | zenon_intro zenon_H24e ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H250 | zenon_intro zenon_H24f ]. % 0.88/1.09 exact (zenon_H24c zenon_H250). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H242 | zenon_intro zenon_H244 ]. % 0.88/1.09 exact (zenon_H23c zenon_H242). % 0.88/1.09 exact (zenon_H244 zenon_H23d). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H244 | zenon_intro zenon_H243 ]. % 0.88/1.09 exact (zenon_H244 zenon_H23d). % 0.88/1.09 exact (zenon_H243 zenon_H23e). % 0.88/1.09 (* end of lemma zenon_L202_ *) % 0.88/1.09 assert (zenon_L203_ : ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c3_1 (a1205)) -> (c1_1 (a1205)) -> (~(c2_1 (a1205))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (c0_1 (a1211)) -> (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))) -> (~(c1_1 (a1211))) -> (ndr1_0) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hc4 zenon_H23e zenon_H23d zenon_H23c zenon_H39 zenon_H45 zenon_H44 zenon_H43 zenon_H12. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H13 | zenon_intro zenon_Hb9 ]. % 0.88/1.09 apply (zenon_L20_); trivial. % 0.88/1.09 apply (zenon_L202_); trivial. % 0.88/1.09 (* end of lemma zenon_L203_ *) % 0.88/1.09 assert (zenon_L204_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (~(c0_1 (a1172))) -> (ndr1_0) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (~(c2_1 (a1205))) -> (c1_1 (a1205)) -> (c3_1 (a1205)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp12)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H8f zenon_H1f2 zenon_H214 zenon_Hce zenon_H1f0 zenon_H12 zenon_H43 zenon_H45 zenon_H39 zenon_H23c zenon_H23d zenon_H23e zenon_Hc4 zenon_H8d. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.09 apply (zenon_L175_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.09 apply (zenon_L203_); trivial. % 0.88/1.09 exact (zenon_H8d zenon_H8e). % 0.88/1.09 (* end of lemma zenon_L204_ *) % 0.88/1.09 assert (zenon_L205_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c3_1 (a1205)) -> (c1_1 (a1205)) -> (~(c2_1 (a1205))) -> (~(c0_1 (a1172))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp17)) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp7)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H58 zenon_H8d zenon_Hc4 zenon_H23e zenon_H23d zenon_H23c zenon_H1f0 zenon_Hce zenon_H214 zenon_H1f2 zenon_H8f zenon_H9 zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H43 zenon_H45 zenon_H143 zenon_H56. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.09 apply (zenon_L204_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.09 apply (zenon_L108_); trivial. % 0.88/1.09 exact (zenon_H56 zenon_H57). % 0.88/1.09 (* end of lemma zenon_L205_ *) % 0.88/1.09 assert (zenon_L206_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c3_1 (a1172)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1172))) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24)))))) -> (~(hskp12)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H8f zenon_H1f2 zenon_H1f1 zenon_H1f0 zenon_H45 zenon_H43 zenon_H12 zenon_H13 zenon_H8d. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.09 apply (zenon_L167_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.09 apply (zenon_L20_); trivial. % 0.88/1.09 exact (zenon_H8d zenon_H8e). % 0.88/1.09 (* end of lemma zenon_L206_ *) % 0.88/1.09 assert (zenon_L207_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c3_1 (a1205)) -> (c1_1 (a1205)) -> (~(c2_1 (a1205))) -> (~(hskp12)) -> (ndr1_0) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (~(c0_1 (a1172))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a1172)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp7)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H58 zenon_Hc4 zenon_H23e zenon_H23d zenon_H23c zenon_H8d zenon_H12 zenon_H43 zenon_H45 zenon_H1f0 zenon_H1f1 zenon_H1f2 zenon_H8f zenon_H56. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.09 apply (zenon_L167_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.09 apply (zenon_L203_); trivial. % 0.88/1.09 exact (zenon_H8d zenon_H8e). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.09 apply (zenon_L206_); trivial. % 0.88/1.09 exact (zenon_H56 zenon_H57). % 0.88/1.09 (* end of lemma zenon_L207_ *) % 0.88/1.09 assert (zenon_L208_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a1180))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H39 zenon_H12 zenon_He6 zenon_H20b zenon_He7 zenon_He8. % 0.88/1.09 generalize (zenon_H39 (a1180)). zenon_intro zenon_H251. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H251); [ zenon_intro zenon_H11 | zenon_intro zenon_H252 ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 0.88/1.09 exact (zenon_He6 zenon_Hec). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H254 | zenon_intro zenon_Hed ]. % 0.88/1.09 generalize (zenon_H20b (a1180)). zenon_intro zenon_H255. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_H11 | zenon_intro zenon_H256 ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Hee | zenon_intro zenon_H257 ]. % 0.88/1.09 exact (zenon_He7 zenon_Hee). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_Hed | zenon_intro zenon_H258 ]. % 0.88/1.09 exact (zenon_Hed zenon_He8). % 0.88/1.09 exact (zenon_H258 zenon_H254). % 0.88/1.09 exact (zenon_Hed zenon_He8). % 0.88/1.09 (* end of lemma zenon_L208_ *) % 0.88/1.09 assert (zenon_L209_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c0_1 (a1180))) -> (~(hskp17)) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp7)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H58 zenon_He8 zenon_He7 zenon_H20b zenon_He6 zenon_H9 zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H43 zenon_H45 zenon_H143 zenon_H56. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.09 apply (zenon_L208_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.09 apply (zenon_L108_); trivial. % 0.88/1.09 exact (zenon_H56 zenon_H57). % 0.88/1.09 (* end of lemma zenon_L209_ *) % 0.88/1.09 assert (zenon_L210_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(hskp12)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H21 zenon_H92 zenon_H8f zenon_H1 zenon_H1e zenon_H1f0 zenon_H1f2 zenon_H214 zenon_H8d zenon_H238 zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H141 zenon_H58 zenon_H56 zenon_H143 zenon_Hc4 zenon_He8 zenon_He7 zenon_He6 zenon_H21a zenon_H248. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H236 | zenon_intro zenon_H245 ]. % 0.88/1.09 apply (zenon_L201_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H12. zenon_intro zenon_H246. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H23d. zenon_intro zenon_H247. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H23e. zenon_intro zenon_H23c. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.09 apply (zenon_L80_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.09 apply (zenon_L205_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.09 apply (zenon_L207_); trivial. % 0.88/1.09 apply (zenon_L209_); trivial. % 0.88/1.09 apply (zenon_L11_); trivial. % 0.88/1.09 (* end of lemma zenon_L210_ *) % 0.88/1.09 assert (zenon_L211_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H7f zenon_He3 zenon_H56 zenon_Hab zenon_H9d zenon_H9c zenon_H9b zenon_H5 zenon_Ha9 zenon_H58. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He0 | zenon_intro zenon_He4 ]. % 0.88/1.09 apply (zenon_L54_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H44 | zenon_intro zenon_H5a ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.09 apply (zenon_L41_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.09 apply (zenon_L20_); trivial. % 0.88/1.09 exact (zenon_H56 zenon_H57). % 0.88/1.09 apply (zenon_L26_); trivial. % 0.88/1.09 (* end of lemma zenon_L211_ *) % 0.88/1.09 assert (zenon_L212_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H92 zenon_He3 zenon_Hab zenon_Ha9 zenon_H5 zenon_H56 zenon_H58 zenon_H9d zenon_H9c zenon_H9b zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H9 zenon_H141. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.09 apply (zenon_L80_); trivial. % 0.88/1.09 apply (zenon_L211_); trivial. % 0.88/1.09 (* end of lemma zenon_L212_ *) % 0.88/1.09 assert (zenon_L213_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (ndr1_0) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H21 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H12 zenon_H9b zenon_H9c zenon_H9d zenon_H58 zenon_H56 zenon_H5 zenon_Ha9 zenon_Hab zenon_He3 zenon_H92. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.09 apply (zenon_L212_); trivial. % 0.88/1.09 apply (zenon_L42_); trivial. % 0.88/1.09 (* end of lemma zenon_L213_ *) % 0.88/1.09 assert (zenon_L214_ : (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (~(c1_1 (a1195))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4))))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H44 zenon_H12 zenon_Hae zenon_Hfd zenon_Haf zenon_Hb0. % 0.88/1.09 generalize (zenon_H44 (a1195)). zenon_intro zenon_H259. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H259); [ zenon_intro zenon_H11 | zenon_intro zenon_H25a ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_Hb4 | zenon_intro zenon_H1e2 ]. % 0.88/1.09 exact (zenon_Hae zenon_Hb4). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1db | zenon_intro zenon_Hb5 ]. % 0.88/1.09 apply (zenon_L139_); trivial. % 0.88/1.09 exact (zenon_Hb5 zenon_Hb0). % 0.88/1.09 (* end of lemma zenon_L214_ *) % 0.88/1.09 assert (zenon_L215_ : ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4))))) -> (~(c1_1 (a1195))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H143 zenon_Hb0 zenon_Haf zenon_Hfd zenon_Hae zenon_H13a zenon_H139 zenon_H138 zenon_H12 zenon_H9. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H44 | zenon_intro zenon_H144 ]. % 0.88/1.09 apply (zenon_L214_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H137 | zenon_intro zenon_Ha ]. % 0.88/1.09 apply (zenon_L79_); trivial. % 0.88/1.09 exact (zenon_H9 zenon_Ha). % 0.88/1.09 (* end of lemma zenon_L215_ *) % 0.88/1.09 assert (zenon_L216_ : (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (~(c1_1 (a1195))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H44 zenon_H12 zenon_Hae zenon_H180 zenon_Haf zenon_Hb0. % 0.88/1.09 generalize (zenon_H44 (a1195)). zenon_intro zenon_H259. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H259); [ zenon_intro zenon_H11 | zenon_intro zenon_H25a ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_Hb4 | zenon_intro zenon_H1e2 ]. % 0.88/1.09 exact (zenon_Hae zenon_Hb4). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1db | zenon_intro zenon_Hb5 ]. % 0.88/1.09 apply (zenon_L142_); trivial. % 0.88/1.09 exact (zenon_Hb5 zenon_Hb0). % 0.88/1.09 (* end of lemma zenon_L216_ *) % 0.88/1.09 assert (zenon_L217_ : ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c1_1 (a1195))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H143 zenon_Hb0 zenon_Haf zenon_H180 zenon_Hae zenon_H13a zenon_H139 zenon_H138 zenon_H12 zenon_H9. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H44 | zenon_intro zenon_H144 ]. % 0.88/1.09 apply (zenon_L216_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H137 | zenon_intro zenon_Ha ]. % 0.88/1.09 apply (zenon_L79_); trivial. % 0.88/1.09 exact (zenon_H9 zenon_Ha). % 0.88/1.09 (* end of lemma zenon_L217_ *) % 0.88/1.09 assert (zenon_L218_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hca zenon_H21 zenon_H1e zenon_H1 zenon_H143 zenon_H13a zenon_H139 zenon_H138 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.09 apply (zenon_L215_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.09 apply (zenon_L217_); trivial. % 0.88/1.09 apply (zenon_L172_); trivial. % 0.88/1.09 apply (zenon_L11_); trivial. % 0.88/1.09 (* end of lemma zenon_L218_ *) % 0.88/1.09 assert (zenon_L219_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hcd zenon_H1e zenon_H1 zenon_H143 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H92 zenon_He3 zenon_Hab zenon_H5 zenon_H56 zenon_H58 zenon_H9d zenon_H9c zenon_H9b zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H141 zenon_H21. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.09 apply (zenon_L213_); trivial. % 0.88/1.09 apply (zenon_L218_); trivial. % 0.88/1.09 (* end of lemma zenon_L219_ *) % 0.88/1.09 assert (zenon_L220_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (c0_1 (a1211)) -> (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))) -> (~(c1_1 (a1211))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H58 zenon_H9d zenon_H9c zenon_H9b zenon_H9a zenon_H45 zenon_H44 zenon_H43 zenon_H12 zenon_H56. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.09 apply (zenon_L39_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.09 apply (zenon_L20_); trivial. % 0.88/1.09 exact (zenon_H56 zenon_H57). % 0.88/1.09 (* end of lemma zenon_L220_ *) % 0.88/1.09 assert (zenon_L221_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp5)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H7f zenon_Hda zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H58 zenon_H9d zenon_H9c zenon_H9b zenon_H56 zenon_He3 zenon_Hd8. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hce | zenon_intro zenon_Hdb ]. % 0.88/1.09 apply (zenon_L50_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H9a | zenon_intro zenon_Hd9 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He0 | zenon_intro zenon_He4 ]. % 0.88/1.09 apply (zenon_L54_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H44 | zenon_intro zenon_H5a ]. % 0.88/1.09 apply (zenon_L220_); trivial. % 0.88/1.09 apply (zenon_L26_); trivial. % 0.88/1.09 exact (zenon_Hd8 zenon_Hd9). % 0.88/1.09 (* end of lemma zenon_L221_ *) % 0.88/1.09 assert (zenon_L222_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H92 zenon_Hda zenon_Hd8 zenon_H9b zenon_H9c zenon_H9d zenon_H58 zenon_H56 zenon_He3 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H9 zenon_H141. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.09 apply (zenon_L80_); trivial. % 0.88/1.09 apply (zenon_L221_); trivial. % 0.88/1.09 (* end of lemma zenon_L222_ *) % 0.88/1.09 assert (zenon_L223_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H175 zenon_Hdc zenon_Hd8 zenon_Hda zenon_H21 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H58 zenon_H56 zenon_Hab zenon_He3 zenon_H92 zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H143 zenon_H1 zenon_H1e zenon_Hcd. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.09 apply (zenon_L219_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.09 apply (zenon_L222_); trivial. % 0.88/1.09 apply (zenon_L52_); trivial. % 0.88/1.09 (* end of lemma zenon_L223_ *) % 0.88/1.09 assert (zenon_L224_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H145 zenon_H174 zenon_Hdc zenon_Hd8 zenon_Hda zenon_Hab zenon_He3 zenon_H1e8 zenon_Hcd zenon_H248 zenon_H21a zenon_He6 zenon_He7 zenon_He8 zenon_Hc4 zenon_H143 zenon_H56 zenon_H58 zenon_H141 zenon_H238 zenon_H214 zenon_H1f2 zenon_H1f0 zenon_H1e zenon_H1 zenon_H8f zenon_H92 zenon_H21. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.09 apply (zenon_L210_); trivial. % 0.88/1.09 apply (zenon_L223_); trivial. % 0.88/1.09 (* end of lemma zenon_L224_ *) % 0.88/1.09 assert (zenon_L225_ : ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> ((hskp28)\/(hskp8)) -> ((hskp0)\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1172)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp8)\/((hskp21)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c1_1 (a1232))))))) -> ((hskp26)\/((hskp17)\/(hskp24))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H1cb zenon_H1cc zenon_H1c3 zenon_Hd8 zenon_Hda zenon_H174 zenon_H224 zenon_H222 zenon_Hf9 zenon_H38 zenon_H1ea zenon_H24 zenon_H7 zenon_H3 zenon_H1 zenon_H21 zenon_H58 zenon_H17c zenon_H21e zenon_H1e8 zenon_H214 zenon_H8f zenon_H1f2 zenon_H1f0 zenon_H21a zenon_H1ee zenon_H12e zenon_H136 zenon_H194 zenon_Hdc zenon_H96 zenon_H92 zenon_H143 zenon_H141 zenon_H15a zenon_Hab zenon_He3 zenon_Hcd zenon_Hc4 zenon_H248 zenon_H238 zenon_Hf3 zenon_H10c zenon_H1e zenon_H249 zenon_H228 zenon_Hfb zenon_Hc7 zenon_H173. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 0.88/1.09 apply (zenon_L184_); trivial. % 0.88/1.09 apply (zenon_L127_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.09 apply (zenon_L199_); trivial. % 0.88/1.09 apply (zenon_L224_); trivial. % 0.88/1.09 apply (zenon_L127_); trivial. % 0.88/1.09 apply (zenon_L128_); trivial. % 0.88/1.09 (* end of lemma zenon_L225_ *) % 0.88/1.09 assert (zenon_L226_ : (forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> (c1_1 (a1187)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H60 zenon_H12 zenon_H9c zenon_H9d zenon_Ha1. % 0.88/1.09 generalize (zenon_H60 (a1187)). zenon_intro zenon_H25b. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H25b); [ zenon_intro zenon_H11 | zenon_intro zenon_H25c ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H25d ]. % 0.88/1.09 exact (zenon_H9c zenon_Ha7). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha6 ]. % 0.88/1.09 exact (zenon_H9d zenon_Ha8). % 0.88/1.09 exact (zenon_Ha6 zenon_Ha1). % 0.88/1.09 (* end of lemma zenon_L226_ *) % 0.88/1.09 assert (zenon_L227_ : ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(hskp19)) -> (~(hskp23)) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hf3 zenon_H9d zenon_H9c zenon_H12 zenon_H9a zenon_Hef zenon_Hf1. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf5 ]. % 0.88/1.09 generalize (zenon_H9a (a1187)). zenon_intro zenon_H9e. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H9e); [ zenon_intro zenon_H11 | zenon_intro zenon_H9f ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha0 ]. % 0.88/1.09 apply (zenon_L226_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 0.88/1.09 exact (zenon_H9c zenon_Ha7). % 0.88/1.09 exact (zenon_H9d zenon_Ha8). % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf2 ]. % 0.88/1.09 exact (zenon_Hef zenon_Hf0). % 0.88/1.09 exact (zenon_Hf1 zenon_Hf2). % 0.88/1.09 (* end of lemma zenon_L227_ *) % 0.88/1.09 assert (zenon_L228_ : (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (ndr1_0) -> (~(c1_1 (a1218))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a1218))) -> (~(c3_1 (a1218))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H9a zenon_H12 zenon_Hff zenon_H180 zenon_Hfe zenon_H100. % 0.88/1.09 generalize (zenon_H9a (a1218)). zenon_intro zenon_H25e. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H25e); [ zenon_intro zenon_H11 | zenon_intro zenon_H25f ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H106 | zenon_intro zenon_H260 ]. % 0.88/1.09 exact (zenon_Hff zenon_H106). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H261 | zenon_intro zenon_H105 ]. % 0.88/1.09 generalize (zenon_H180 (a1218)). zenon_intro zenon_H262. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H262); [ zenon_intro zenon_H11 | zenon_intro zenon_H263 ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H104 | zenon_intro zenon_H264 ]. % 0.88/1.09 exact (zenon_Hfe zenon_H104). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H105 | zenon_intro zenon_H265 ]. % 0.88/1.09 exact (zenon_H100 zenon_H105). % 0.88/1.09 exact (zenon_H265 zenon_H261). % 0.88/1.09 exact (zenon_H100 zenon_H105). % 0.88/1.09 (* end of lemma zenon_L228_ *) % 0.88/1.09 assert (zenon_L229_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1218))) -> (~(c0_1 (a1218))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c1_1 (a1218))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp15)) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hab zenon_H100 zenon_Hfe zenon_H180 zenon_Hff zenon_H12 zenon_H5 zenon_Ha9. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H9a | zenon_intro zenon_Hac ]. % 0.88/1.09 apply (zenon_L228_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H6 | zenon_intro zenon_Haa ]. % 0.88/1.09 exact (zenon_H5 zenon_H6). % 0.88/1.09 exact (zenon_Ha9 zenon_Haa). % 0.88/1.09 (* end of lemma zenon_L229_ *) % 0.88/1.09 assert (zenon_L230_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp15)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H107 zenon_H1e8 zenon_Ha9 zenon_H5 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.09 apply (zenon_L65_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.09 apply (zenon_L229_); trivial. % 0.88/1.09 apply (zenon_L172_); trivial. % 0.88/1.09 (* end of lemma zenon_L230_ *) % 0.88/1.09 assert (zenon_L231_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Hf3 zenon_Hef zenon_H9d zenon_H9c zenon_H12 zenon_H5 zenon_Ha9 zenon_Hab. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H9a | zenon_intro zenon_Hac ]. % 0.88/1.09 apply (zenon_L227_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H6 | zenon_intro zenon_Haa ]. % 0.88/1.09 exact (zenon_H5 zenon_H6). % 0.88/1.09 exact (zenon_Ha9 zenon_Haa). % 0.88/1.09 apply (zenon_L230_); trivial. % 0.88/1.09 (* end of lemma zenon_L231_ *) % 0.88/1.09 assert (zenon_L232_ : (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H20b zenon_H12 zenon_H266 zenon_H267 zenon_H268. % 0.88/1.09 generalize (zenon_H20b (a1178)). zenon_intro zenon_H269. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H269); [ zenon_intro zenon_H11 | zenon_intro zenon_H26a ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H26c | zenon_intro zenon_H26b ]. % 0.88/1.09 exact (zenon_H266 zenon_H26c). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H26e | zenon_intro zenon_H26d ]. % 0.88/1.09 exact (zenon_H26e zenon_H267). % 0.88/1.09 exact (zenon_H26d zenon_H268). % 0.88/1.09 (* end of lemma zenon_L232_ *) % 0.88/1.09 assert (zenon_L233_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1172)) -> (~(hskp11)) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H133 zenon_H21a zenon_H214 zenon_H12b zenon_H1f0 zenon_H1f2 zenon_H12e zenon_H266 zenon_H267 zenon_H268. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.09 apply (zenon_L176_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.09 apply (zenon_L177_); trivial. % 0.88/1.09 apply (zenon_L232_); trivial. % 0.88/1.09 (* end of lemma zenon_L233_ *) % 0.88/1.09 assert (zenon_L234_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a1195))) -> (~(hskp14)) -> (~(hskp22)) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H1e8 zenon_Hae zenon_H5 zenon_H31 zenon_Haf zenon_Hb0 zenon_H1cf zenon_H12 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.09 apply (zenon_L141_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.09 apply (zenon_L144_); trivial. % 0.88/1.09 apply (zenon_L172_); trivial. % 0.88/1.09 (* end of lemma zenon_L234_ *) % 0.88/1.09 assert (zenon_L235_ : ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4))))) -> (~(c1_1 (a1195))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp18)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H54 zenon_Hb0 zenon_Haf zenon_Hfd zenon_Hae zenon_H12 zenon_H50 zenon_H52. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H44 | zenon_intro zenon_H55 ]. % 0.88/1.09 apply (zenon_L214_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H51 | zenon_intro zenon_H53 ]. % 0.88/1.09 exact (zenon_H50 zenon_H51). % 0.88/1.09 exact (zenon_H52 zenon_H53). % 0.88/1.09 (* end of lemma zenon_L235_ *) % 0.88/1.09 assert (zenon_L236_ : ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c1_1 (a1195))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp18)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H54 zenon_Hb0 zenon_Haf zenon_H180 zenon_Hae zenon_H12 zenon_H50 zenon_H52. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H44 | zenon_intro zenon_H55 ]. % 0.88/1.09 apply (zenon_L216_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H51 | zenon_intro zenon_H53 ]. % 0.88/1.09 exact (zenon_H50 zenon_H51). % 0.88/1.09 exact (zenon_H52 zenon_H53). % 0.88/1.09 (* end of lemma zenon_L236_ *) % 0.88/1.09 assert (zenon_L237_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp18)) -> (~(hskp27)) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H1e8 zenon_H52 zenon_H50 zenon_Hae zenon_Haf zenon_Hb0 zenon_H54 zenon_H12 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.09 apply (zenon_L235_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.09 apply (zenon_L236_); trivial. % 0.88/1.09 apply (zenon_L172_); trivial. % 0.88/1.09 (* end of lemma zenon_L237_ *) % 0.88/1.09 assert (zenon_L238_ : ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp19)) -> (~(hskp23)) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hf3 zenon_H9d zenon_H9c zenon_H9b zenon_H12 zenon_H1b1 zenon_Hef zenon_Hf1. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf5 ]. % 0.88/1.09 generalize (zenon_H1b1 (a1187)). zenon_intro zenon_H26f. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H26f); [ zenon_intro zenon_H11 | zenon_intro zenon_H270 ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H271 ]. % 0.88/1.09 exact (zenon_H9b zenon_Ha5). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha7 ]. % 0.88/1.09 apply (zenon_L226_); trivial. % 0.88/1.09 exact (zenon_H9c zenon_Ha7). % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf2 ]. % 0.88/1.09 exact (zenon_Hef zenon_Hf0). % 0.88/1.09 exact (zenon_Hf1 zenon_Hf2). % 0.88/1.09 (* end of lemma zenon_L238_ *) % 0.88/1.09 assert (zenon_L239_ : (forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c0_1 (a1201)) -> (c2_1 (a1201)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H164 zenon_H12 zenon_H27 zenon_H6b zenon_H6d. % 0.88/1.09 generalize (zenon_H164 (a1201)). zenon_intro zenon_H272. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H11 | zenon_intro zenon_H273 ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H275 | zenon_intro zenon_H274 ]. % 0.88/1.09 generalize (zenon_H27 (a1201)). zenon_intro zenon_H276. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H276); [ zenon_intro zenon_H11 | zenon_intro zenon_H277 ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H71 | zenon_intro zenon_H278 ]. % 0.88/1.09 exact (zenon_H71 zenon_H6b). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H72 | zenon_intro zenon_H279 ]. % 0.88/1.09 exact (zenon_H72 zenon_H6d). % 0.88/1.09 exact (zenon_H279 zenon_H275). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H71 | zenon_intro zenon_H72 ]. % 0.88/1.09 exact (zenon_H71 zenon_H6b). % 0.88/1.09 exact (zenon_H72 zenon_H6d). % 0.88/1.09 (* end of lemma zenon_L239_ *) % 0.88/1.09 assert (zenon_L240_ : ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> (c2_1 (a1201)) -> (c0_1 (a1201)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (~(hskp13)) -> (~(hskp10)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H1ea zenon_H6d zenon_H6b zenon_H12 zenon_H164 zenon_Hb zenon_H1a9. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H27 | zenon_intro zenon_H1eb ]. % 0.88/1.09 apply (zenon_L239_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_Hc | zenon_intro zenon_H1aa ]. % 0.88/1.09 exact (zenon_Hb zenon_Hc). % 0.88/1.09 exact (zenon_H1a9 zenon_H1aa). % 0.88/1.09 (* end of lemma zenon_L240_ *) % 0.88/1.09 assert (zenon_L241_ : ((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> (~(hskp23)) -> (~(hskp19)) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp10)) -> (~(hskp13)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> (~(hskp0)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H76 zenon_H1cd zenon_Hf1 zenon_Hef zenon_H9b zenon_H9c zenon_H9d zenon_Hf3 zenon_H1a9 zenon_Hb zenon_H1ea zenon_H1. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H12. zenon_intro zenon_H78. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H6b. zenon_intro zenon_H79. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H6c. zenon_intro zenon_H6d. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1ce ]. % 0.88/1.09 apply (zenon_L238_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H164 | zenon_intro zenon_H2 ]. % 0.88/1.09 apply (zenon_L240_); trivial. % 0.88/1.09 exact (zenon_H1 zenon_H2). % 0.88/1.09 (* end of lemma zenon_L241_ *) % 0.88/1.09 assert (zenon_L242_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c1_1 (a1195))) -> (ndr1_0) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (c3_1 (a1211)) -> False). % 0.88/1.09 do 0 intro. intros zenon_He3 zenon_H9d zenon_H9c zenon_H9b zenon_Hb0 zenon_Haf zenon_H180 zenon_Hae zenon_H12 zenon_H43 zenon_H45 zenon_H5b. % 0.88/1.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He0 | zenon_intro zenon_He4 ]. % 0.88/1.09 apply (zenon_L54_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H44 | zenon_intro zenon_H5a ]. % 0.88/1.09 apply (zenon_L216_); trivial. % 0.88/1.09 apply (zenon_L26_); trivial. % 0.88/1.09 (* end of lemma zenon_L242_ *) % 0.88/1.09 assert (zenon_L243_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1211)) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H107 zenon_H1e8 zenon_H5b zenon_H45 zenon_H43 zenon_Hae zenon_Haf zenon_Hb0 zenon_H9b zenon_H9c zenon_H9d zenon_He3 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.09 apply (zenon_L65_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.09 apply (zenon_L242_); trivial. % 0.88/1.09 apply (zenon_L172_); trivial. % 0.88/1.09 (* end of lemma zenon_L243_ *) % 0.88/1.09 assert (zenon_L244_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (ndr1_0) -> (~(c3_1 (a1195))) -> (~(c1_1 (a1195))) -> (c2_1 (a1195)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp13)) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp18)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H12 zenon_Haf zenon_Hae zenon_Hb0 zenon_H5 zenon_H1cf zenon_H80 zenon_H1cd zenon_H1 zenon_Hb zenon_H1a9 zenon_H1ea zenon_H9b zenon_H9c zenon_H9d zenon_Hf3 zenon_H54 zenon_H52 zenon_He3 zenon_H10c zenon_H92. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.09 apply (zenon_L234_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.09 apply (zenon_L237_); trivial. % 0.88/1.09 apply (zenon_L241_); trivial. % 0.88/1.09 apply (zenon_L243_); trivial. % 0.88/1.09 apply (zenon_L233_); trivial. % 0.88/1.09 (* end of lemma zenon_L244_ *) % 0.88/1.09 assert (zenon_L245_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> (c2_1 (a1195)) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (~(hskp0)) -> (~(hskp3)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H108 zenon_Hb0 zenon_Hae zenon_Haf zenon_H12 zenon_H164 zenon_H1 zenon_Hf9. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfd | zenon_intro zenon_H10b ]. % 0.88/1.09 apply (zenon_L140_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H2 | zenon_intro zenon_Hfa ]. % 0.88/1.09 exact (zenon_H1 zenon_H2). % 0.88/1.09 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.09 (* end of lemma zenon_L245_ *) % 0.88/1.09 assert (zenon_L246_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (ndr1_0) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hf3 zenon_Hef zenon_H9d zenon_H9c zenon_Hd8 zenon_Hda. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hce | zenon_intro zenon_Hdb ]. % 0.88/1.09 apply (zenon_L50_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H9a | zenon_intro zenon_Hd9 ]. % 0.88/1.09 apply (zenon_L227_); trivial. % 0.88/1.09 exact (zenon_Hd8 zenon_Hd9). % 0.88/1.09 apply (zenon_L192_); trivial. % 0.88/1.09 (* end of lemma zenon_L246_ *) % 0.88/1.09 assert (zenon_L247_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H133 zenon_H1e8 zenon_H12e zenon_H12b zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_H21a zenon_H183 zenon_H182 zenon_H181 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.09 apply (zenon_L50_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.09 apply (zenon_L177_); trivial. % 0.88/1.09 apply (zenon_L171_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.09 apply (zenon_L104_); trivial. % 0.88/1.09 apply (zenon_L172_); trivial. % 0.88/1.09 (* end of lemma zenon_L247_ *) % 0.88/1.09 assert (zenon_L248_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> (~(hskp23)) -> (~(hskp19)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (ndr1_0) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H27a zenon_H9b zenon_H9c zenon_H9d zenon_Hf1 zenon_Hef zenon_H3b zenon_H3a zenon_H3c zenon_Hf3 zenon_H12 zenon_H266 zenon_H267 zenon_H268. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H27b ]. % 0.88/1.09 apply (zenon_L238_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H61 | zenon_intro zenon_H20b ]. % 0.88/1.09 apply (zenon_L114_); trivial. % 0.88/1.09 apply (zenon_L232_); trivial. % 0.88/1.09 (* end of lemma zenon_L248_ *) % 0.88/1.09 assert (zenon_L249_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (ndr1_0) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H183 zenon_H182 zenon_H181 zenon_Hf3 zenon_Hef zenon_H9d zenon_H9c zenon_H9b zenon_H12 zenon_H3c zenon_H3a zenon_H3b zenon_H266 zenon_H267 zenon_H268 zenon_H27a. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.09 apply (zenon_L248_); trivial. % 0.88/1.09 apply (zenon_L192_); trivial. % 0.88/1.09 (* end of lemma zenon_L249_ *) % 0.88/1.09 assert (zenon_L250_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H195 zenon_H136 zenon_H21a zenon_H12b zenon_H12e zenon_H27a zenon_H268 zenon_H267 zenon_H266 zenon_H3b zenon_H3a zenon_H3c zenon_H9b zenon_H9c zenon_H9d zenon_Hf3 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.09 apply (zenon_L249_); trivial. % 0.88/1.09 apply (zenon_L233_); trivial. % 0.88/1.09 (* end of lemma zenon_L250_ *) % 0.88/1.09 assert (zenon_L251_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H97 zenon_H194 zenon_H136 zenon_H21a zenon_H12b zenon_H12e zenon_H27a zenon_H268 zenon_H267 zenon_H266 zenon_H9b zenon_H9c zenon_H9d zenon_Hf3 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H17c zenon_H3 zenon_H56 zenon_H58 zenon_H21. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.09 apply (zenon_L164_); trivial. % 0.88/1.09 apply (zenon_L250_); trivial. % 0.88/1.09 (* end of lemma zenon_L251_ *) % 0.88/1.09 assert (zenon_L252_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H175 zenon_H96 zenon_H27a zenon_H56 zenon_H58 zenon_Hcd zenon_H95 zenon_Hf9 zenon_H108 zenon_H92 zenon_He3 zenon_H54 zenon_H1ea zenon_H1a9 zenon_H1 zenon_H1cd zenon_H80 zenon_H1cf zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Hf3 zenon_Hab zenon_H12e zenon_H12b zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H136 zenon_H21 zenon_H1e zenon_H3 zenon_H17c zenon_Hd8 zenon_Hda zenon_H194 zenon_Hdc. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.09 apply (zenon_L231_); trivial. % 0.88/1.09 apply (zenon_L233_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.09 apply (zenon_L244_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.09 apply (zenon_L234_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1ce ]. % 0.88/1.09 apply (zenon_L238_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H164 | zenon_intro zenon_H2 ]. % 0.88/1.09 apply (zenon_L245_); trivial. % 0.88/1.09 exact (zenon_H1 zenon_H2). % 0.88/1.09 apply (zenon_L243_); trivial. % 0.88/1.09 apply (zenon_L77_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.09 apply (zenon_L103_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.09 apply (zenon_L246_); trivial. % 0.88/1.09 apply (zenon_L247_); trivial. % 0.88/1.09 apply (zenon_L251_); trivial. % 0.88/1.09 (* end of lemma zenon_L252_ *) % 0.88/1.09 assert (zenon_L253_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H145 zenon_H174 zenon_Hdc zenon_Hd8 zenon_Hda zenon_Hab zenon_He3 zenon_H1e8 zenon_Hcd zenon_H248 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_Hc4 zenon_H143 zenon_H56 zenon_H58 zenon_H141 zenon_H238 zenon_H214 zenon_H1f2 zenon_H1f0 zenon_H1e zenon_H1 zenon_H8f zenon_H92 zenon_H21. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H236 | zenon_intro zenon_H245 ]. % 0.88/1.09 apply (zenon_L201_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H12. zenon_intro zenon_H246. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H23d. zenon_intro zenon_H247. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H23e. zenon_intro zenon_H23c. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.09 apply (zenon_L80_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.09 apply (zenon_L205_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.09 apply (zenon_L207_); trivial. % 0.88/1.09 apply (zenon_L232_); trivial. % 0.88/1.09 apply (zenon_L11_); trivial. % 0.88/1.09 apply (zenon_L223_); trivial. % 0.88/1.09 (* end of lemma zenon_L253_ *) % 0.88/1.09 assert (zenon_L254_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c1_1 (a1232)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H233 zenon_H21a zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H266 zenon_H267 zenon_H268. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H22c. zenon_intro zenon_H235. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22a. zenon_intro zenon_H22b. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.09 apply (zenon_L50_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.09 apply (zenon_L189_); trivial. % 0.88/1.09 apply (zenon_L232_); trivial. % 0.88/1.09 (* end of lemma zenon_L254_ *) % 0.88/1.09 assert (zenon_L255_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp13)) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((hskp26)\/((hskp17)\/(hskp24))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c1_1 (a1232))))))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp0)\/((hskp1)\/(hskp14))) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hdc zenon_H21 zenon_H1e zenon_Hc7 zenon_Hfb zenon_Hf9 zenon_Hb zenon_H1a9 zenon_H1ea zenon_He8 zenon_He7 zenon_He6 zenon_H228 zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H249 zenon_H1 zenon_H3 zenon_H7. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.09 apply (zenon_L4_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H226 | zenon_intro zenon_H233 ]. % 0.88/1.09 apply (zenon_L188_); trivial. % 0.88/1.09 apply (zenon_L254_); trivial. % 0.88/1.09 apply (zenon_L11_); trivial. % 0.88/1.09 (* end of lemma zenon_L255_ *) % 0.88/1.09 assert (zenon_L256_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> False). % 0.88/1.09 do 0 intro. intros zenon_He5 zenon_H12 zenon_H19f zenon_H266 zenon_H267. % 0.88/1.09 generalize (zenon_He5 (a1178)). zenon_intro zenon_H27c. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_H11 | zenon_intro zenon_H27d ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H27f | zenon_intro zenon_H27e ]. % 0.88/1.09 generalize (zenon_H19f (a1178)). zenon_intro zenon_H280. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H280); [ zenon_intro zenon_H11 | zenon_intro zenon_H281 ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H26c | zenon_intro zenon_H282 ]. % 0.88/1.09 exact (zenon_H266 zenon_H26c). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H283 | zenon_intro zenon_H26e ]. % 0.88/1.09 exact (zenon_H283 zenon_H27f). % 0.88/1.09 exact (zenon_H26e zenon_H267). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H26c | zenon_intro zenon_H26e ]. % 0.88/1.09 exact (zenon_H266 zenon_H26c). % 0.88/1.09 exact (zenon_H26e zenon_H267). % 0.88/1.09 (* end of lemma zenon_L256_ *) % 0.88/1.09 assert (zenon_L257_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(c0_1 (a1192))) -> (~(hskp3)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1192)) -> (~(c2_1 (a1192))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp23)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp10)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H1ab zenon_H3a zenon_Hf9 zenon_Hf3 zenon_H3c zenon_H3b zenon_H12 zenon_Hef zenon_Hf1 zenon_H266 zenon_H267 zenon_Hfb zenon_H1a9. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H61 | zenon_intro zenon_H1ac ]. % 0.88/1.09 apply (zenon_L114_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H19f | zenon_intro zenon_H1aa ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 0.88/1.09 apply (zenon_L256_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 0.88/1.09 apply (zenon_L62_); trivial. % 0.88/1.09 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.09 exact (zenon_H1a9 zenon_H1aa). % 0.88/1.09 (* end of lemma zenon_L257_ *) % 0.88/1.09 assert (zenon_L258_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H5 zenon_Ha9 zenon_Hab zenon_Hf3 zenon_Hef zenon_H3c zenon_H3a zenon_H3b zenon_H12 zenon_Hfb zenon_Hf9 zenon_H267 zenon_H266 zenon_H1a9 zenon_H1ab. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.09 apply (zenon_L257_); trivial. % 0.88/1.09 apply (zenon_L230_); trivial. % 0.88/1.09 (* end of lemma zenon_L258_ *) % 0.88/1.09 assert (zenon_L259_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp20)) -> (~(hskp12)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1195)) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (ndr1_0) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H92 zenon_H8f zenon_H1 zenon_H1e zenon_H236 zenon_H8d zenon_H238 zenon_H1cf zenon_H5 zenon_Hb0 zenon_Hae zenon_Haf zenon_H12 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.09 apply (zenon_L234_); trivial. % 0.88/1.09 apply (zenon_L200_); trivial. % 0.88/1.09 (* end of lemma zenon_L259_ *) % 0.88/1.09 assert (zenon_L260_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hca zenon_H248 zenon_Hfb zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H5 zenon_H1cf zenon_H238 zenon_H8d zenon_H1e zenon_H1 zenon_H8f zenon_H92. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H236 | zenon_intro zenon_H245 ]. % 0.88/1.09 apply (zenon_L259_); trivial. % 0.88/1.09 apply (zenon_L197_); trivial. % 0.88/1.09 (* end of lemma zenon_L260_ *) % 0.88/1.09 assert (zenon_L261_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (~(c3_1 (a1218))) -> (~(c0_1 (a1218))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c1_1 (a1218))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hda zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H100 zenon_Hfe zenon_H180 zenon_Hff zenon_H12 zenon_Hd8. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hce | zenon_intro zenon_Hdb ]. % 0.88/1.09 apply (zenon_L50_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H9a | zenon_intro zenon_Hd9 ]. % 0.88/1.09 apply (zenon_L228_); trivial. % 0.88/1.09 exact (zenon_Hd8 zenon_Hd9). % 0.88/1.09 (* end of lemma zenon_L261_ *) % 0.88/1.09 assert (zenon_L262_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp5)) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H107 zenon_H1e8 zenon_Hd8 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hda zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.09 apply (zenon_L65_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.09 apply (zenon_L261_); trivial. % 0.88/1.09 apply (zenon_L172_); trivial. % 0.88/1.09 (* end of lemma zenon_L262_ *) % 0.88/1.09 assert (zenon_L263_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_Hf3 zenon_Hef zenon_H3c zenon_H3a zenon_H3b zenon_H12 zenon_Hfb zenon_Hf9 zenon_H267 zenon_H266 zenon_H1a9 zenon_H1ab. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.09 apply (zenon_L257_); trivial. % 0.88/1.09 apply (zenon_L262_); trivial. % 0.88/1.09 (* end of lemma zenon_L263_ *) % 0.88/1.09 assert (zenon_L264_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> (~(hskp0)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H133 zenon_H1c3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H1. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1c4 ]. % 0.88/1.09 apply (zenon_L123_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H121 | zenon_intro zenon_H2 ]. % 0.88/1.09 apply (zenon_L73_); trivial. % 0.88/1.09 exact (zenon_H1 zenon_H2). % 0.88/1.09 (* end of lemma zenon_L264_ *) % 0.88/1.09 assert (zenon_L265_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> (~(hskp0)) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hca zenon_H1cd zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Hf9 zenon_H108 zenon_H1. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1ce ]. % 0.88/1.09 apply (zenon_L123_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H164 | zenon_intro zenon_H2 ]. % 0.88/1.09 apply (zenon_L245_); trivial. % 0.88/1.09 exact (zenon_H1 zenon_H2). % 0.88/1.09 (* end of lemma zenon_L265_ *) % 0.88/1.09 assert (zenon_L266_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (~(hskp1)) -> (~(hskp16)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H21 zenon_Hda zenon_Hd8 zenon_H9b zenon_H9c zenon_H9d zenon_H56 zenon_H58 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H3 zenon_H17d zenon_H17c. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.09 apply (zenon_L102_); trivial. % 0.88/1.09 apply (zenon_L52_); trivial. % 0.88/1.09 (* end of lemma zenon_L266_ *) % 0.88/1.09 assert (zenon_L267_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H175 zenon_Hdc zenon_H194 zenon_H17c zenon_H3 zenon_H58 zenon_H56 zenon_Hd8 zenon_Hda zenon_H21 zenon_H136 zenon_H1c3 zenon_H1 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Hab zenon_Hf3 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H108 zenon_Hf9 zenon_H1cd zenon_Hcd. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.09 apply (zenon_L231_); trivial. % 0.88/1.09 apply (zenon_L264_); trivial. % 0.88/1.09 apply (zenon_L265_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.09 apply (zenon_L266_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.09 apply (zenon_L246_); trivial. % 0.88/1.09 apply (zenon_L264_); trivial. % 0.88/1.09 (* end of lemma zenon_L267_ *) % 0.88/1.09 assert (zenon_L268_ : ((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H1c5 zenon_H174 zenon_H194 zenon_H17c zenon_H3 zenon_H58 zenon_H56 zenon_H21 zenon_H136 zenon_Hf3 zenon_H10c zenon_H108 zenon_H1cd zenon_Hcd zenon_H248 zenon_Hfb zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H1cf zenon_H238 zenon_H1e zenon_H8f zenon_H92 zenon_Hab zenon_H1 zenon_H1c3 zenon_Hda zenon_Hd8 zenon_Hdc. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1c4 ]. % 0.88/1.09 apply (zenon_L123_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H121 | zenon_intro zenon_H2 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H9a | zenon_intro zenon_Hac ]. % 0.88/1.09 apply (zenon_L124_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H6 | zenon_intro zenon_Haa ]. % 0.88/1.09 exact (zenon_H5 zenon_H6). % 0.88/1.09 exact (zenon_Ha9 zenon_Haa). % 0.88/1.09 exact (zenon_H1 zenon_H2). % 0.88/1.09 apply (zenon_L260_); trivial. % 0.88/1.09 apply (zenon_L125_); trivial. % 0.88/1.09 apply (zenon_L267_); trivial. % 0.88/1.09 (* end of lemma zenon_L268_ *) % 0.88/1.09 assert (zenon_L269_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((hskp26)\/((hskp17)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c1_1 (a1232))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((hskp8)\/((hskp21)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c2_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp0)\/((hskp1)\/(hskp14))) -> ((hskp28)\/(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H173 zenon_Hc7 zenon_Hfb zenon_H228 zenon_H249 zenon_H1ab zenon_H15a zenon_H248 zenon_Hc4 zenon_H143 zenon_H141 zenon_H238 zenon_H96 zenon_Hdc zenon_H194 zenon_H136 zenon_H12e zenon_H1ee zenon_H21a zenon_H1f0 zenon_H1f2 zenon_H8f zenon_H214 zenon_H1e8 zenon_H21e zenon_H17c zenon_H56 zenon_H58 zenon_H21 zenon_H1 zenon_H3 zenon_H7 zenon_H24 zenon_H1ea zenon_H38 zenon_Hda zenon_Hd8 zenon_H1e zenon_H268 zenon_H267 zenon_H266 zenon_Hab zenon_Hf3 zenon_H10c zenon_H1cf zenon_H80 zenon_H1cd zenon_H54 zenon_He3 zenon_H92 zenon_H108 zenon_Hf9 zenon_H95 zenon_Hcd zenon_H27a zenon_H174 zenon_H1c3 zenon_H1cc. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.09 apply (zenon_L180_); trivial. % 0.88/1.09 apply (zenon_L252_); trivial. % 0.88/1.09 apply (zenon_L253_); trivial. % 0.88/1.09 apply (zenon_L127_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.09 apply (zenon_L255_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.09 apply (zenon_L258_); trivial. % 0.88/1.09 apply (zenon_L198_); trivial. % 0.88/1.09 apply (zenon_L260_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.09 apply (zenon_L263_); trivial. % 0.88/1.09 apply (zenon_L198_); trivial. % 0.88/1.09 apply (zenon_L252_); trivial. % 0.88/1.09 apply (zenon_L253_); trivial. % 0.88/1.09 apply (zenon_L268_); trivial. % 0.88/1.09 (* end of lemma zenon_L269_ *) % 0.88/1.09 assert (zenon_L270_ : (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a1176))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H44 zenon_H12 zenon_H20b zenon_H165 zenon_H167 zenon_H166. % 0.88/1.09 generalize (zenon_H44 (a1176)). zenon_intro zenon_H284. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H284); [ zenon_intro zenon_H11 | zenon_intro zenon_H285 ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18a | zenon_intro zenon_H16a ]. % 0.88/1.09 generalize (zenon_H20b (a1176)). zenon_intro zenon_H286. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H286); [ zenon_intro zenon_H11 | zenon_intro zenon_H287 ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H16b | zenon_intro zenon_H18d ]. % 0.88/1.09 exact (zenon_H165 zenon_H16b). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18e | zenon_intro zenon_H16c ]. % 0.88/1.09 exact (zenon_H18e zenon_H18a). % 0.88/1.09 exact (zenon_H16c zenon_H167). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H16d | zenon_intro zenon_H16c ]. % 0.88/1.09 exact (zenon_H16d zenon_H166). % 0.88/1.09 exact (zenon_H16c zenon_H167). % 0.88/1.09 (* end of lemma zenon_L270_ *) % 0.88/1.09 assert (zenon_L271_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a1172)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1172))) -> (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (~(c3_1 (a1176))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H288 zenon_H1f2 zenon_H1f1 zenon_H1f0 zenon_H44 zenon_H12 zenon_H165 zenon_H167 zenon_H166. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H83 | zenon_intro zenon_H289 ]. % 0.88/1.09 apply (zenon_L167_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H164 | zenon_intro zenon_H20b ]. % 0.88/1.09 apply (zenon_L93_); trivial. % 0.88/1.09 apply (zenon_L270_); trivial. % 0.88/1.09 (* end of lemma zenon_L271_ *) % 0.88/1.09 assert (zenon_L272_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1176))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (c3_1 (a1211)) -> False). % 0.88/1.09 do 0 intro. intros zenon_He3 zenon_H9d zenon_H9c zenon_H9b zenon_H166 zenon_H167 zenon_H165 zenon_H20b zenon_H12 zenon_H43 zenon_H45 zenon_H5b. % 0.88/1.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He0 | zenon_intro zenon_He4 ]. % 0.88/1.09 apply (zenon_L54_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H44 | zenon_intro zenon_H5a ]. % 0.88/1.09 apply (zenon_L270_); trivial. % 0.88/1.09 apply (zenon_L26_); trivial. % 0.88/1.09 (* end of lemma zenon_L272_ *) % 0.88/1.09 assert (zenon_L273_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H92 zenon_H21a zenon_H9b zenon_H9c zenon_H9d zenon_H288 zenon_H167 zenon_H166 zenon_H165 zenon_H1f2 zenon_H1f0 zenon_He3 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H9 zenon_H141. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.09 apply (zenon_L80_); trivial. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.09 apply (zenon_L50_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He0 | zenon_intro zenon_He4 ]. % 0.88/1.09 apply (zenon_L54_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H44 | zenon_intro zenon_H5a ]. % 0.88/1.09 apply (zenon_L271_); trivial. % 0.88/1.09 apply (zenon_L26_); trivial. % 0.88/1.09 apply (zenon_L272_); trivial. % 0.88/1.09 (* end of lemma zenon_L273_ *) % 0.88/1.09 assert (zenon_L274_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hdd zenon_H21 zenon_H1e zenon_H1 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_He3 zenon_H1f0 zenon_H1f2 zenon_H165 zenon_H166 zenon_H167 zenon_H288 zenon_H9d zenon_H9c zenon_H9b zenon_H21a zenon_H92. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.09 apply (zenon_L273_); trivial. % 0.88/1.09 apply (zenon_L11_); trivial. % 0.88/1.09 (* end of lemma zenon_L274_ *) % 0.88/1.09 assert (zenon_L275_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H175 zenon_Hdc zenon_H165 zenon_H166 zenon_H167 zenon_H288 zenon_H21a zenon_H21 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H58 zenon_H56 zenon_Hab zenon_He3 zenon_H92 zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H143 zenon_H1 zenon_H1e zenon_Hcd. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.09 apply (zenon_L219_); trivial. % 0.88/1.09 apply (zenon_L274_); trivial. % 0.88/1.09 (* end of lemma zenon_L275_ *) % 0.88/1.09 assert (zenon_L276_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H145 zenon_H174 zenon_Hdc zenon_H165 zenon_H166 zenon_H167 zenon_H288 zenon_Hab zenon_He3 zenon_H1e8 zenon_Hcd zenon_H248 zenon_H21a zenon_He6 zenon_He7 zenon_He8 zenon_Hc4 zenon_H143 zenon_H56 zenon_H58 zenon_H141 zenon_H238 zenon_H214 zenon_H1f2 zenon_H1f0 zenon_H1e zenon_H1 zenon_H8f zenon_H92 zenon_H21. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.09 apply (zenon_L210_); trivial. % 0.88/1.09 apply (zenon_L275_); trivial. % 0.88/1.09 (* end of lemma zenon_L276_ *) % 0.88/1.09 assert (zenon_L277_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c3_1 (a1172)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1172))) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4))))) -> (~(c1_1 (a1195))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H8f zenon_H1f2 zenon_H1f1 zenon_H1f0 zenon_Hb0 zenon_Haf zenon_Hfd zenon_Hae zenon_H12 zenon_H8d. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.09 apply (zenon_L167_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.09 apply (zenon_L214_); trivial. % 0.88/1.09 exact (zenon_H8d zenon_H8e). % 0.88/1.09 (* end of lemma zenon_L277_ *) % 0.88/1.09 assert (zenon_L278_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (~(c1_1 (a1195))) -> (~(hskp12)) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H195 zenon_H1e8 zenon_H8f zenon_Hb0 zenon_Haf zenon_Hae zenon_H8d zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_H21a zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.09 apply (zenon_L50_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.09 apply (zenon_L277_); trivial. % 0.88/1.09 apply (zenon_L171_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.09 apply (zenon_L104_); trivial. % 0.88/1.09 apply (zenon_L172_); trivial. % 0.88/1.09 (* end of lemma zenon_L278_ *) % 0.88/1.09 assert (zenon_L279_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1172)) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hca zenon_H194 zenon_H1e8 zenon_H214 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_H8f zenon_H8d zenon_H1f2 zenon_H1f0 zenon_H21a zenon_H17c zenon_H3 zenon_H1 zenon_H1e zenon_H21. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.09 apply (zenon_L103_); trivial. % 0.88/1.09 apply (zenon_L278_); trivial. % 0.88/1.09 (* end of lemma zenon_L279_ *) % 0.88/1.09 assert (zenon_L280_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1172)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp11)\/(hskp15))) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hdd zenon_Hcd zenon_H194 zenon_H1e8 zenon_H214 zenon_H8f zenon_H8d zenon_H1f2 zenon_H1f0 zenon_H21a zenon_H17c zenon_H3 zenon_H1 zenon_H1e zenon_H21 zenon_H165 zenon_H166 zenon_H167 zenon_H12b zenon_H16e. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.09 apply (zenon_L94_); trivial. % 0.88/1.09 apply (zenon_L279_); trivial. % 0.88/1.09 (* end of lemma zenon_L280_ *) % 0.88/1.09 assert (zenon_L281_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a1172)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1172))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (ndr1_0) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H288 zenon_H1f2 zenon_H1f1 zenon_H1f0 zenon_H167 zenon_H166 zenon_H165 zenon_H12 zenon_H266 zenon_H267 zenon_H268. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H83 | zenon_intro zenon_H289 ]. % 0.88/1.09 apply (zenon_L167_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H164 | zenon_intro zenon_H20b ]. % 0.88/1.09 apply (zenon_L93_); trivial. % 0.88/1.09 apply (zenon_L232_); trivial. % 0.88/1.09 (* end of lemma zenon_L281_ *) % 0.88/1.09 assert (zenon_L282_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hdd zenon_H21a zenon_H165 zenon_H166 zenon_H167 zenon_H1f0 zenon_H1f2 zenon_H288 zenon_H266 zenon_H267 zenon_H268. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.09 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.09 apply (zenon_L50_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.09 apply (zenon_L281_); trivial. % 0.88/1.09 apply (zenon_L232_); trivial. % 0.88/1.09 (* end of lemma zenon_L282_ *) % 0.88/1.09 assert (zenon_L283_ : (forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H60 zenon_H12 zenon_H164 zenon_H1a0 zenon_H1a1 zenon_H1a2. % 0.88/1.09 generalize (zenon_H60 (a1174)). zenon_intro zenon_H28a. % 0.88/1.09 apply (zenon_imply_s _ _ zenon_H28a); [ zenon_intro zenon_H11 | zenon_intro zenon_H28b ]. % 0.88/1.09 exact (zenon_H11 zenon_H12). % 0.88/1.09 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H28c ]. % 0.88/1.09 apply (zenon_L136_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a7 ]. % 0.88/1.09 exact (zenon_H1a0 zenon_H1a6). % 0.88/1.09 exact (zenon_H1a7 zenon_H1a2). % 0.88/1.09 (* end of lemma zenon_L283_ *) % 0.88/1.09 assert (zenon_L284_ : ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp23)) -> False). % 0.88/1.09 do 0 intro. intros zenon_Hf3 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H164 zenon_H12 zenon_Hef zenon_Hf1. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf5 ]. % 0.88/1.09 apply (zenon_L283_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf2 ]. % 0.88/1.09 exact (zenon_Hef zenon_Hf0). % 0.88/1.09 exact (zenon_Hf1 zenon_Hf2). % 0.88/1.09 (* end of lemma zenon_L284_ *) % 0.88/1.09 assert (zenon_L285_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (ndr1_0) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H1e8 zenon_H20b zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.09 apply (zenon_L171_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.09 apply (zenon_L104_); trivial. % 0.88/1.09 apply (zenon_L172_); trivial. % 0.88/1.09 (* end of lemma zenon_L285_ *) % 0.88/1.09 assert (zenon_L286_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (~(hskp23)) -> (~(hskp19)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (ndr1_0) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H288 zenon_Hce zenon_Hf1 zenon_Hef zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H1e8 zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H83 | zenon_intro zenon_H289 ]. % 0.88/1.09 apply (zenon_L175_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H164 | zenon_intro zenon_H20b ]. % 0.88/1.09 apply (zenon_L284_); trivial. % 0.88/1.09 apply (zenon_L285_); trivial. % 0.88/1.09 (* end of lemma zenon_L286_ *) % 0.88/1.09 assert (zenon_L287_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(hskp23)) -> (~(hskp19)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (ndr1_0) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H288 zenon_H1f1 zenon_Hf1 zenon_Hef zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H1e8 zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H83 | zenon_intro zenon_H289 ]. % 0.88/1.09 apply (zenon_L167_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H164 | zenon_intro zenon_H20b ]. % 0.88/1.09 apply (zenon_L284_); trivial. % 0.88/1.09 apply (zenon_L285_); trivial. % 0.88/1.09 (* end of lemma zenon_L287_ *) % 0.88/1.09 assert (zenon_L288_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp23)) -> (~(hskp19)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (ndr1_0) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.09 do 0 intro. intros zenon_H288 zenon_Hf1 zenon_Hef zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H1e8 zenon_H21a zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.09 apply (zenon_L286_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.09 apply (zenon_L287_); trivial. % 0.88/1.09 apply (zenon_L171_); trivial. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.09 apply (zenon_L104_); trivial. % 0.88/1.09 apply (zenon_L172_); trivial. % 0.88/1.09 (* end of lemma zenon_L288_ *) % 0.88/1.09 assert (zenon_L289_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.09 do 0 intro. intros zenon_H195 zenon_H136 zenon_H1af zenon_H12b zenon_H288 zenon_H1e8 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H21a zenon_H10c. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.09 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.09 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.09 apply (zenon_L288_); trivial. % 0.88/1.09 apply (zenon_L192_); trivial. % 0.88/1.09 apply (zenon_L119_); trivial. % 0.88/1.09 (* end of lemma zenon_L289_ *) % 0.88/1.09 assert (zenon_L290_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H194 zenon_H136 zenon_H1af zenon_H12b zenon_H288 zenon_H1e8 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H21a zenon_H10c zenon_H17c zenon_H3 zenon_H1 zenon_H1e zenon_H21. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.10 apply (zenon_L103_); trivial. % 0.88/1.10 apply (zenon_L289_); trivial. % 0.88/1.10 (* end of lemma zenon_L290_ *) % 0.88/1.10 assert (zenon_L291_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H15a zenon_H96 zenon_H141 zenon_H58 zenon_H56 zenon_H143 zenon_H92 zenon_H24 zenon_H22 zenon_H1a9 zenon_H1ea zenon_H38 zenon_H21 zenon_H1e zenon_H1 zenon_H3 zenon_H17c zenon_H10c zenon_H21a zenon_H1f0 zenon_H214 zenon_H1f2 zenon_Hf3 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H1e8 zenon_H288 zenon_H1af zenon_H136 zenon_H194. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.10 apply (zenon_L290_); trivial. % 0.88/1.10 apply (zenon_L183_); trivial. % 0.88/1.10 (* end of lemma zenon_L291_ *) % 0.88/1.10 assert (zenon_L292_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (ndr1_0) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H10c zenon_H5 zenon_Ha9 zenon_Hab zenon_H21a zenon_H12 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_Hf3 zenon_Hef zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H1e8 zenon_H183 zenon_H182 zenon_H181 zenon_H288. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.10 apply (zenon_L288_); trivial. % 0.88/1.10 apply (zenon_L230_); trivial. % 0.88/1.10 (* end of lemma zenon_L292_ *) % 0.88/1.10 assert (zenon_L293_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H195 zenon_H136 zenon_H1c3 zenon_H1 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H288 zenon_H1e8 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H21a zenon_Hab zenon_Ha9 zenon_H5 zenon_H10c. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.10 apply (zenon_L292_); trivial. % 0.88/1.10 apply (zenon_L264_); trivial. % 0.88/1.10 (* end of lemma zenon_L293_ *) % 0.88/1.10 assert (zenon_L294_ : ((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp20)) -> (~(hskp12)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H33 zenon_Hc4 zenon_H236 zenon_H8d zenon_H238 zenon_H16 zenon_H15 zenon_H14. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H12. zenon_intro zenon_H35. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H28. zenon_intro zenon_H36. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H13 | zenon_intro zenon_Hb9 ]. % 0.88/1.10 apply (zenon_L10_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H7b | zenon_intro zenon_H239 ]. % 0.88/1.10 generalize (zenon_H7b (a1236)). zenon_intro zenon_H28d. % 0.88/1.10 apply (zenon_imply_s _ _ zenon_H28d); [ zenon_intro zenon_H11 | zenon_intro zenon_H28e ]. % 0.88/1.10 exact (zenon_H11 zenon_H12). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H28f | zenon_intro zenon_H2d ]. % 0.88/1.10 generalize (zenon_Hb9 (a1236)). zenon_intro zenon_H290. % 0.88/1.10 apply (zenon_imply_s _ _ zenon_H290); [ zenon_intro zenon_H11 | zenon_intro zenon_H291 ]. % 0.88/1.10 exact (zenon_H11 zenon_H12). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H2e | zenon_intro zenon_H292 ]. % 0.88/1.10 exact (zenon_H2e zenon_H28). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H293 | zenon_intro zenon_H2f ]. % 0.88/1.10 exact (zenon_H293 zenon_H28f). % 0.88/1.10 exact (zenon_H2f zenon_H2a). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.88/1.10 exact (zenon_H30 zenon_H29). % 0.88/1.10 exact (zenon_H2f zenon_H2a). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H237 | zenon_intro zenon_H8e ]. % 0.88/1.10 exact (zenon_H236 zenon_H237). % 0.88/1.10 exact (zenon_H8d zenon_H8e). % 0.88/1.10 (* end of lemma zenon_L294_ *) % 0.88/1.10 assert (zenon_L295_ : ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c3_1 (a1205)) -> (c1_1 (a1205)) -> (~(c2_1 (a1205))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (ndr1_0) -> False). % 0.88/1.10 do 0 intro. intros zenon_Hc4 zenon_H23e zenon_H23d zenon_H23c zenon_H39 zenon_H16 zenon_H15 zenon_H14 zenon_H12. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H13 | zenon_intro zenon_Hb9 ]. % 0.88/1.10 apply (zenon_L10_); trivial. % 0.88/1.10 apply (zenon_L202_); trivial. % 0.88/1.10 (* end of lemma zenon_L295_ *) % 0.88/1.10 assert (zenon_L296_ : ((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (~(hskp7)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H245 zenon_H58 zenon_Hc4 zenon_H16 zenon_H15 zenon_H14 zenon_H56. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H12. zenon_intro zenon_H246. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H23d. zenon_intro zenon_H247. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H23e. zenon_intro zenon_H23c. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.10 apply (zenon_L295_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.10 apply (zenon_L10_); trivial. % 0.88/1.10 exact (zenon_H56 zenon_H57). % 0.88/1.10 (* end of lemma zenon_L296_ *) % 0.88/1.10 assert (zenon_L297_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H1d zenon_H248 zenon_H58 zenon_H56 zenon_H24 zenon_H22 zenon_H238 zenon_H8d zenon_Hc4 zenon_H38. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H236 | zenon_intro zenon_H245 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H25 | zenon_intro zenon_H33 ]. % 0.88/1.10 apply (zenon_L14_); trivial. % 0.88/1.10 apply (zenon_L294_); trivial. % 0.88/1.10 apply (zenon_L296_); trivial. % 0.88/1.10 (* end of lemma zenon_L297_ *) % 0.88/1.10 assert (zenon_L298_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> (~(hskp1)) -> (~(hskp16)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H21 zenon_H248 zenon_H58 zenon_H56 zenon_H24 zenon_H22 zenon_H238 zenon_H8d zenon_Hc4 zenon_H38 zenon_H3 zenon_H17d zenon_H17c. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.10 apply (zenon_L102_); trivial. % 0.88/1.10 apply (zenon_L297_); trivial. % 0.88/1.10 (* end of lemma zenon_L298_ *) % 0.88/1.10 assert (zenon_L299_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(hskp12)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H195 zenon_H21 zenon_H92 zenon_H8f zenon_H1 zenon_H1e zenon_H1f0 zenon_H1f2 zenon_H214 zenon_H8d zenon_H238 zenon_H138 zenon_H139 zenon_H13a zenon_H141 zenon_H21a zenon_Hc4 zenon_H56 zenon_H58 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H1ad zenon_H248. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H236 | zenon_intro zenon_H245 ]. % 0.88/1.10 apply (zenon_L201_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H12. zenon_intro zenon_H246. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H23d. zenon_intro zenon_H247. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H23e. zenon_intro zenon_H23c. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.10 apply (zenon_L80_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1ae ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.10 apply (zenon_L50_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.10 apply (zenon_L207_); trivial. % 0.88/1.10 apply (zenon_L171_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hce | zenon_intro zenon_H2 ]. % 0.88/1.10 apply (zenon_L50_); trivial. % 0.88/1.10 exact (zenon_H1 zenon_H2). % 0.88/1.10 apply (zenon_L11_); trivial. % 0.88/1.10 (* end of lemma zenon_L299_ *) % 0.88/1.10 assert (zenon_L300_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(hskp1)) -> (~(hskp16)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H21 zenon_Hc7 zenon_Hc4 zenon_H15b zenon_H15c zenon_H15d zenon_Hae zenon_Haf zenon_Hb0 zenon_Hc8 zenon_H3 zenon_H17d zenon_H17c. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.10 apply (zenon_L102_); trivial. % 0.88/1.10 apply (zenon_L154_); trivial. % 0.88/1.10 (* end of lemma zenon_L300_ *) % 0.88/1.10 assert (zenon_L301_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1172)) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (ndr1_0) -> False). % 0.88/1.10 do 0 intro. intros zenon_H10c zenon_H21a zenon_H1f0 zenon_H1f2 zenon_Hf3 zenon_Hef zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H1e8 zenon_H214 zenon_H183 zenon_H182 zenon_H181 zenon_H288 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H12. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.10 apply (zenon_L50_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.10 apply (zenon_L287_); trivial. % 0.88/1.10 apply (zenon_L171_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.10 apply (zenon_L104_); trivial. % 0.88/1.10 apply (zenon_L172_); trivial. % 0.88/1.10 apply (zenon_L192_); trivial. % 0.88/1.10 (* end of lemma zenon_L301_ *) % 0.88/1.10 assert (zenon_L302_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H195 zenon_H136 zenon_H12e zenon_H12b zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_H288 zenon_H214 zenon_H1e8 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H1f2 zenon_H1f0 zenon_H21a zenon_H10c. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.10 apply (zenon_L301_); trivial. % 0.88/1.10 apply (zenon_L247_); trivial. % 0.88/1.10 (* end of lemma zenon_L302_ *) % 0.88/1.10 assert (zenon_L303_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_Hdd zenon_H194 zenon_H136 zenon_H12e zenon_H12b zenon_H288 zenon_H214 zenon_H1e8 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H1f2 zenon_H1f0 zenon_H21a zenon_H10c zenon_H17c zenon_H3 zenon_H1 zenon_H1e zenon_H21. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.10 apply (zenon_L103_); trivial. % 0.88/1.10 apply (zenon_L302_); trivial. % 0.88/1.10 (* end of lemma zenon_L303_ *) % 0.88/1.10 assert (zenon_L304_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_Hdc zenon_H12e zenon_H1 zenon_H1e zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H12 zenon_H21 zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_H3 zenon_H17c zenon_H10c zenon_H21a zenon_H1f0 zenon_H214 zenon_H1f2 zenon_Hf3 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H1e8 zenon_H288 zenon_H12b zenon_H1af zenon_H136 zenon_H194 zenon_Hcd. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.10 apply (zenon_L131_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.10 apply (zenon_L300_); trivial. % 0.88/1.10 apply (zenon_L289_); trivial. % 0.88/1.10 apply (zenon_L303_); trivial. % 0.88/1.10 (* end of lemma zenon_L304_ *) % 0.88/1.10 assert (zenon_L305_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_Hca zenon_H21 zenon_H1e zenon_H1 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_Hc8 zenon_H15d zenon_H15c zenon_H15b zenon_H143 zenon_Hc4 zenon_Hc7 zenon_H92. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.10 apply (zenon_L80_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc3 ]. % 0.88/1.10 apply (zenon_L98_); trivial. % 0.88/1.10 apply (zenon_L109_); trivial. % 0.88/1.10 apply (zenon_L11_); trivial. % 0.88/1.10 (* end of lemma zenon_L305_ *) % 0.88/1.10 assert (zenon_L306_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (ndr1_0) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> False). % 0.88/1.10 do 0 intro. intros zenon_Hcd zenon_H21 zenon_H1e zenon_H1 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_Hc8 zenon_H143 zenon_Hc4 zenon_Hc7 zenon_H92 zenon_H12 zenon_H15b zenon_H15c zenon_H15d zenon_H5 zenon_Hab. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.10 apply (zenon_L131_); trivial. % 0.88/1.10 apply (zenon_L305_); trivial. % 0.88/1.10 (* end of lemma zenon_L306_ *) % 0.88/1.10 assert (zenon_L307_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H145 zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H92 zenon_Hc7 zenon_Hc4 zenon_H143 zenon_Hc8 zenon_H141 zenon_H1 zenon_H1e zenon_H21 zenon_Hcd. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.10 apply (zenon_L306_); trivial. % 0.88/1.10 apply (zenon_L91_); trivial. % 0.88/1.10 (* end of lemma zenon_L307_ *) % 0.88/1.10 assert (zenon_L308_ : ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> ((hskp28)\/(hskp8)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H1cb zenon_Hc8 zenon_Hc7 zenon_H12e zenon_H1cc zenon_H174 zenon_Hd8 zenon_Hda zenon_He3 zenon_Hcd zenon_Hab zenon_H1c3 zenon_H248 zenon_H238 zenon_Hc4 zenon_H1ad zenon_H8f zenon_Hdc zenon_H194 zenon_H136 zenon_H1af zenon_H288 zenon_H1e8 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H21a zenon_H10c zenon_H17c zenon_H3 zenon_H1 zenon_H1e zenon_H21 zenon_H38 zenon_H1ea zenon_H24 zenon_H92 zenon_H143 zenon_H58 zenon_H141 zenon_H96 zenon_H15a zenon_H173. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 0.88/1.10 apply (zenon_L291_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.10 apply (zenon_L290_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.10 apply (zenon_L103_); trivial. % 0.88/1.10 apply (zenon_L293_); trivial. % 0.88/1.10 apply (zenon_L218_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.10 apply (zenon_L298_); trivial. % 0.88/1.10 apply (zenon_L299_); trivial. % 0.88/1.10 apply (zenon_L223_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.10 apply (zenon_L290_); trivial. % 0.88/1.10 apply (zenon_L224_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.10 apply (zenon_L304_); trivial. % 0.88/1.10 apply (zenon_L307_); trivial. % 0.88/1.10 (* end of lemma zenon_L308_ *) % 0.88/1.10 assert (zenon_L309_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H1cc zenon_H1cd zenon_H167 zenon_H166 zenon_H165 zenon_H194 zenon_H136 zenon_H1af zenon_H288 zenon_H1e8 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H21a zenon_H10c zenon_H17c zenon_H3 zenon_H1 zenon_H1e zenon_H21 zenon_H38 zenon_H1ea zenon_H22 zenon_H24 zenon_H92 zenon_H143 zenon_H56 zenon_H58 zenon_H141 zenon_H96 zenon_H15a. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 0.88/1.10 apply (zenon_L291_); trivial. % 0.88/1.10 apply (zenon_L130_); trivial. % 0.88/1.10 (* end of lemma zenon_L309_ *) % 0.88/1.10 assert (zenon_L310_ : (forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H60 zenon_H12 zenon_H294 zenon_H295 zenon_H296. % 0.88/1.10 generalize (zenon_H60 (a1169)). zenon_intro zenon_H297. % 0.88/1.10 apply (zenon_imply_s _ _ zenon_H297); [ zenon_intro zenon_H11 | zenon_intro zenon_H298 ]. % 0.88/1.10 exact (zenon_H11 zenon_H12). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29a | zenon_intro zenon_H299 ]. % 0.88/1.10 exact (zenon_H294 zenon_H29a). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H29c | zenon_intro zenon_H29b ]. % 0.88/1.10 exact (zenon_H295 zenon_H29c). % 0.88/1.10 exact (zenon_H29b zenon_H296). % 0.88/1.10 (* end of lemma zenon_L310_ *) % 0.88/1.10 assert (zenon_L311_ : ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp23)) -> False). % 0.88/1.10 do 0 intro. intros zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hef zenon_Hf1. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf5 ]. % 0.88/1.10 apply (zenon_L310_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf2 ]. % 0.88/1.10 exact (zenon_Hef zenon_Hf0). % 0.88/1.10 exact (zenon_Hf1 zenon_Hf2). % 0.88/1.10 (* end of lemma zenon_L311_ *) % 0.88/1.10 assert (zenon_L312_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H10c zenon_H108 zenon_Hf9 zenon_H1 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.10 apply (zenon_L311_); trivial. % 0.88/1.10 apply (zenon_L66_); trivial. % 0.88/1.10 (* end of lemma zenon_L312_ *) % 0.88/1.10 assert (zenon_L313_ : ((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c3_1 (a1211)) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H76 zenon_H74 zenon_H5b zenon_H45 zenon_H43 zenon_H296 zenon_H295 zenon_H294. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H12. zenon_intro zenon_H78. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H6b. zenon_intro zenon_H79. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H6c. zenon_intro zenon_H6d. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H5a | zenon_intro zenon_H75 ]. % 0.88/1.10 apply (zenon_L26_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H6a ]. % 0.88/1.10 apply (zenon_L310_); trivial. % 0.88/1.10 apply (zenon_L28_); trivial. % 0.88/1.10 (* end of lemma zenon_L313_ *) % 0.88/1.10 assert (zenon_L314_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp18)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H7f zenon_H80 zenon_H74 zenon_H296 zenon_H295 zenon_H294 zenon_H3a zenon_H3b zenon_H3c zenon_H54 zenon_H52 zenon_H56 zenon_H58. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.10 apply (zenon_L25_); trivial. % 0.88/1.10 apply (zenon_L313_); trivial. % 0.88/1.10 (* end of lemma zenon_L314_ *) % 0.88/1.10 assert (zenon_L315_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H91 zenon_H136 zenon_H12e zenon_H12b zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1 zenon_Hf9 zenon_H108 zenon_H10c. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.10 apply (zenon_L312_); trivial. % 0.88/1.10 apply (zenon_L77_); trivial. % 0.88/1.10 (* end of lemma zenon_L315_ *) % 0.88/1.10 assert (zenon_L316_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp9)\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H97 zenon_H95 zenon_H10c zenon_H108 zenon_Hf9 zenon_H1 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H132 zenon_H12e zenon_H12b zenon_Hd zenon_H34 zenon_H10d zenon_H111 zenon_H58 zenon_H56 zenon_H54 zenon_H74 zenon_H80 zenon_H92 zenon_H136. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.10 apply (zenon_L312_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.10 apply (zenon_L76_); trivial. % 0.88/1.10 apply (zenon_L314_); trivial. % 0.88/1.10 apply (zenon_L315_); trivial. % 0.88/1.10 (* end of lemma zenon_L316_ *) % 0.88/1.10 assert (zenon_L317_ : (forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c3_1 (a1169))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (c1_1 (a1169)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H19f zenon_H12 zenon_H295 zenon_He5 zenon_H296. % 0.88/1.10 generalize (zenon_H19f (a1169)). zenon_intro zenon_H29d. % 0.88/1.10 apply (zenon_imply_s _ _ zenon_H29d); [ zenon_intro zenon_H11 | zenon_intro zenon_H29e ]. % 0.88/1.10 exact (zenon_H11 zenon_H12). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H29c | zenon_intro zenon_H29f ]. % 0.88/1.10 exact (zenon_H295 zenon_H29c). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H29b ]. % 0.88/1.10 generalize (zenon_He5 (a1169)). zenon_intro zenon_H2a1. % 0.88/1.10 apply (zenon_imply_s _ _ zenon_H2a1); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a2 ]. % 0.88/1.10 exact (zenon_H11 zenon_H12). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H299 ]. % 0.88/1.10 exact (zenon_H2a0 zenon_H2a3). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H29c | zenon_intro zenon_H29b ]. % 0.88/1.10 exact (zenon_H295 zenon_H29c). % 0.88/1.10 exact (zenon_H29b zenon_H296). % 0.88/1.10 exact (zenon_H29b zenon_H296). % 0.88/1.10 (* end of lemma zenon_L317_ *) % 0.88/1.10 assert (zenon_L318_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (c3_1 (a1204)) -> (~(c2_1 (a1204))) -> (~(c1_1 (a1204))) -> (c1_1 (a1169)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (~(c3_1 (a1169))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H1af zenon_H124 zenon_H123 zenon_H122 zenon_H296 zenon_He5 zenon_H295 zenon_H12 zenon_H12b. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H121 | zenon_intro zenon_H1b0 ]. % 0.88/1.10 apply (zenon_L73_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H19f | zenon_intro zenon_H12c ]. % 0.88/1.10 apply (zenon_L317_); trivial. % 0.88/1.10 exact (zenon_H12b zenon_H12c). % 0.88/1.10 (* end of lemma zenon_L318_ *) % 0.88/1.10 assert (zenon_L319_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp11)) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(c1_1 (a1204))) -> (~(c2_1 (a1204))) -> (c3_1 (a1204)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (c0_1 (a1181)) -> (c3_1 (a1181)) -> (~(c2_1 (a1181))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24)))))) -> (~(hskp3)) -> False). % 0.88/1.10 do 0 intro. intros zenon_Hfb zenon_H12b zenon_H295 zenon_H296 zenon_H122 zenon_H123 zenon_H124 zenon_H1af zenon_H14a zenon_H149 zenon_H148 zenon_H12 zenon_H13 zenon_Hf9. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 0.88/1.10 apply (zenon_L318_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 0.88/1.10 apply (zenon_L86_); trivial. % 0.88/1.10 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.10 (* end of lemma zenon_L319_ *) % 0.88/1.10 assert (zenon_L320_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (c1_1 (a1192)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (~(hskp3)) -> (~(c2_1 (a1181))) -> (c3_1 (a1181)) -> (c0_1 (a1181)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp7)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H133 zenon_H58 zenon_H3c zenon_H3b zenon_H3a zenon_Hf9 zenon_H148 zenon_H149 zenon_H14a zenon_H1af zenon_H296 zenon_H295 zenon_H12b zenon_Hfb zenon_H56. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.10 apply (zenon_L19_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.10 apply (zenon_L319_); trivial. % 0.88/1.10 exact (zenon_H56 zenon_H57). % 0.88/1.10 (* end of lemma zenon_L320_ *) % 0.88/1.10 assert (zenon_L321_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a1181))/\((c3_1 (a1181))/\(~(c2_1 (a1181))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp9)\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H159 zenon_Hfb zenon_H1af zenon_H96 zenon_H95 zenon_H10c zenon_H108 zenon_Hf9 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H132 zenon_H12e zenon_H34 zenon_H111 zenon_H58 zenon_H56 zenon_H54 zenon_H74 zenon_H80 zenon_H92 zenon_H136 zenon_Hf zenon_Hd zenon_H1 zenon_H1e zenon_H21 zenon_H143 zenon_H141 zenon_H15a. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10d | zenon_intro zenon_H156 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.10 apply (zenon_L12_); trivial. % 0.88/1.10 apply (zenon_L316_); trivial. % 0.88/1.10 apply (zenon_L85_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14a. zenon_intro zenon_H158. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H149. zenon_intro zenon_H148. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.10 apply (zenon_L12_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.10 apply (zenon_L312_); trivial. % 0.88/1.10 apply (zenon_L320_); trivial. % 0.88/1.10 apply (zenon_L85_); trivial. % 0.88/1.10 (* end of lemma zenon_L321_ *) % 0.88/1.10 assert (zenon_L322_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> (ndr1_0) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H12 zenon_Hf zenon_Hd zenon_Hb zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_H21 zenon_Hcd. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.10 apply (zenon_L131_); trivial. % 0.88/1.10 apply (zenon_L155_); trivial. % 0.88/1.10 apply (zenon_L91_); trivial. % 0.88/1.10 (* end of lemma zenon_L322_ *) % 0.88/1.10 assert (zenon_L323_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp3)) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> (c3_1 (a1204)) -> (~(c2_1 (a1204))) -> (~(c1_1 (a1204))) -> (~(hskp11)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H12d zenon_H12e zenon_Hf9 zenon_H15b zenon_H15c zenon_H15d zenon_H17a zenon_H124 zenon_H123 zenon_H122 zenon_H12b. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H83 | zenon_intro zenon_H131 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H9a | zenon_intro zenon_H17b ]. % 0.88/1.10 apply (zenon_L90_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H27 | zenon_intro zenon_Hfa ]. % 0.88/1.10 apply (zenon_L71_); trivial. % 0.88/1.10 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H121 | zenon_intro zenon_H12c ]. % 0.88/1.10 apply (zenon_L73_); trivial. % 0.88/1.10 exact (zenon_H12b zenon_H12c). % 0.88/1.10 (* end of lemma zenon_L323_ *) % 0.88/1.10 assert (zenon_L324_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp9)\/(hskp25))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H133 zenon_H132 zenon_H12e zenon_H12b zenon_H15b zenon_H15c zenon_H15d zenon_Hf9 zenon_H17a zenon_H3a zenon_H3b zenon_H3c zenon_H10d zenon_H111. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.10 apply (zenon_L70_); trivial. % 0.88/1.10 apply (zenon_L323_); trivial. % 0.88/1.10 (* end of lemma zenon_L324_ *) % 0.88/1.10 assert (zenon_L325_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp9)\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H97 zenon_H136 zenon_H132 zenon_H12e zenon_H12b zenon_H15b zenon_H15c zenon_H15d zenon_H17a zenon_H10d zenon_H111 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1 zenon_Hf9 zenon_H108 zenon_H10c. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.10 apply (zenon_L312_); trivial. % 0.88/1.10 apply (zenon_L324_); trivial. % 0.88/1.10 (* end of lemma zenon_L325_ *) % 0.88/1.10 assert (zenon_L326_ : (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(c1_1 (a1181))) -> (c0_1 (a1181)) -> (c3_1 (a1181)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H5a zenon_H12 zenon_H154 zenon_H14a zenon_H149. % 0.88/1.10 generalize (zenon_H5a (a1181)). zenon_intro zenon_H2a4. % 0.88/1.10 apply (zenon_imply_s _ _ zenon_H2a4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a5 ]. % 0.88/1.10 exact (zenon_H11 zenon_H12). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H14e | zenon_intro zenon_H2a6 ]. % 0.88/1.10 exact (zenon_H154 zenon_H14e). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H155 | zenon_intro zenon_H153 ]. % 0.88/1.10 exact (zenon_H155 zenon_H14a). % 0.88/1.10 exact (zenon_H153 zenon_H149). % 0.88/1.10 (* end of lemma zenon_L326_ *) % 0.88/1.10 assert (zenon_L327_ : (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33)))))) -> (ndr1_0) -> (~(c2_1 (a1181))) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (c0_1 (a1181)) -> (c3_1 (a1181)) -> False). % 0.88/1.10 do 0 intro. intros zenon_Hf4 zenon_H12 zenon_H148 zenon_H5a zenon_H14a zenon_H149. % 0.88/1.10 generalize (zenon_Hf4 (a1181)). zenon_intro zenon_H14f. % 0.88/1.10 apply (zenon_imply_s _ _ zenon_H14f); [ zenon_intro zenon_H11 | zenon_intro zenon_H150 ]. % 0.88/1.10 exact (zenon_H11 zenon_H12). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H152 | zenon_intro zenon_H151 ]. % 0.88/1.10 exact (zenon_H148 zenon_H152). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H154 | zenon_intro zenon_H153 ]. % 0.88/1.10 apply (zenon_L326_); trivial. % 0.88/1.10 exact (zenon_H153 zenon_H149). % 0.88/1.10 (* end of lemma zenon_L327_ *) % 0.88/1.10 assert (zenon_L328_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c3_1 (a1181)) -> (c0_1 (a1181)) -> (~(c2_1 (a1181))) -> (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33)))))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> (c0_1 (a1201)) -> (c1_1 (a1201)) -> (c2_1 (a1201)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H74 zenon_H149 zenon_H14a zenon_H148 zenon_Hf4 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_H6b zenon_H6c zenon_H6d. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H5a | zenon_intro zenon_H75 ]. % 0.88/1.10 apply (zenon_L327_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H6a ]. % 0.88/1.10 apply (zenon_L310_); trivial. % 0.88/1.10 apply (zenon_L28_); trivial. % 0.88/1.10 (* end of lemma zenon_L328_ *) % 0.88/1.10 assert (zenon_L329_ : ((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp11)) -> (~(c1_1 (a1204))) -> (~(c2_1 (a1204))) -> (c3_1 (a1204)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(c2_1 (a1181))) -> (c0_1 (a1181)) -> (c3_1 (a1181)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(hskp3)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H76 zenon_Hfb zenon_H12b zenon_H122 zenon_H123 zenon_H124 zenon_H1af zenon_H294 zenon_H295 zenon_H296 zenon_H148 zenon_H14a zenon_H149 zenon_H74 zenon_Hf9. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H12. zenon_intro zenon_H78. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H6b. zenon_intro zenon_H79. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H6c. zenon_intro zenon_H6d. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 0.88/1.10 apply (zenon_L318_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 0.88/1.10 apply (zenon_L328_); trivial. % 0.88/1.10 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.10 (* end of lemma zenon_L329_ *) % 0.88/1.10 assert (zenon_L330_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c3_1 (a1181)) -> (c0_1 (a1181)) -> (~(c2_1 (a1181))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_Hca zenon_H95 zenon_H12e zenon_H10c zenon_H108 zenon_Hf9 zenon_H1 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H54 zenon_H1af zenon_H12b zenon_H74 zenon_H149 zenon_H14a zenon_H148 zenon_Hfb zenon_H80 zenon_H136. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.10 apply (zenon_L312_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfd | zenon_intro zenon_H10b ]. % 0.88/1.10 apply (zenon_L235_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H2 | zenon_intro zenon_Hfa ]. % 0.88/1.10 exact (zenon_H1 zenon_H2). % 0.88/1.10 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.10 apply (zenon_L329_); trivial. % 0.88/1.10 apply (zenon_L315_); trivial. % 0.88/1.10 (* end of lemma zenon_L330_ *) % 0.88/1.10 assert (zenon_L331_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c3_1 (a1181)) -> (c0_1 (a1181)) -> (~(c2_1 (a1181))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (ndr1_0) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> False). % 0.88/1.10 do 0 intro. intros zenon_Hcd zenon_H95 zenon_H12e zenon_H10c zenon_H108 zenon_Hf9 zenon_H1 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H54 zenon_H1af zenon_H12b zenon_H74 zenon_H149 zenon_H14a zenon_H148 zenon_Hfb zenon_H80 zenon_H136 zenon_H12 zenon_H15b zenon_H15c zenon_H15d zenon_H5 zenon_Hab. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.10 apply (zenon_L131_); trivial. % 0.88/1.10 apply (zenon_L330_); trivial. % 0.88/1.10 (* end of lemma zenon_L331_ *) % 0.88/1.10 assert (zenon_L332_ : ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp9)\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a1181))/\((c3_1 (a1181))/\(~(c2_1 (a1181))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H1cb zenon_H17a zenon_Hcd zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_Hab zenon_Hd8 zenon_Hda zenon_Hdc zenon_H15a zenon_H141 zenon_H143 zenon_H21 zenon_H1e zenon_H1 zenon_Hd zenon_Hf zenon_H136 zenon_H92 zenon_H80 zenon_H74 zenon_H54 zenon_H58 zenon_H111 zenon_H34 zenon_H12e zenon_H132 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hf9 zenon_H108 zenon_H10c zenon_H95 zenon_H96 zenon_H1af zenon_Hfb zenon_H159. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 0.88/1.10 apply (zenon_L321_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10d | zenon_intro zenon_H156 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.10 apply (zenon_L322_); trivial. % 0.88/1.10 apply (zenon_L325_); trivial. % 0.88/1.10 apply (zenon_L307_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14a. zenon_intro zenon_H158. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H149. zenon_intro zenon_H148. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.10 apply (zenon_L331_); trivial. % 0.88/1.10 apply (zenon_L91_); trivial. % 0.88/1.10 apply (zenon_L307_); trivial. % 0.88/1.10 (* end of lemma zenon_L332_ *) % 0.88/1.10 assert (zenon_L333_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H10c zenon_H1ad zenon_H1 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.10 apply (zenon_L311_); trivial. % 0.88/1.10 apply (zenon_L118_); trivial. % 0.88/1.10 (* end of lemma zenon_L333_ *) % 0.88/1.10 assert (zenon_L334_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (~(c1_1 (a1204))) -> (c3_1 (a1204)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H1f1 zenon_H12 zenon_H5a zenon_H122 zenon_H124. % 0.88/1.10 generalize (zenon_H1f1 (a1204)). zenon_intro zenon_H2a7. % 0.88/1.10 apply (zenon_imply_s _ _ zenon_H2a7); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a8 ]. % 0.88/1.10 exact (zenon_H11 zenon_H12). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2a9 ]. % 0.88/1.10 generalize (zenon_H5a (a1204)). zenon_intro zenon_H2ab. % 0.88/1.10 apply (zenon_imply_s _ _ zenon_H2ab); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ac ]. % 0.88/1.10 exact (zenon_H11 zenon_H12). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H128 | zenon_intro zenon_H2ad ]. % 0.88/1.10 exact (zenon_H122 zenon_H128). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H2ae | zenon_intro zenon_H129 ]. % 0.88/1.10 exact (zenon_H2ae zenon_H2aa). % 0.88/1.10 exact (zenon_H129 zenon_H124). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H128 | zenon_intro zenon_H129 ]. % 0.88/1.10 exact (zenon_H122 zenon_H128). % 0.88/1.10 exact (zenon_H129 zenon_H124). % 0.88/1.10 (* end of lemma zenon_L334_ *) % 0.88/1.10 assert (zenon_L335_ : (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H44 zenon_H12 zenon_H6a zenon_H166 zenon_H167. % 0.88/1.10 generalize (zenon_H44 (a1176)). zenon_intro zenon_H284. % 0.88/1.10 apply (zenon_imply_s _ _ zenon_H284); [ zenon_intro zenon_H11 | zenon_intro zenon_H285 ]. % 0.88/1.10 exact (zenon_H11 zenon_H12). % 0.88/1.10 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18a | zenon_intro zenon_H16a ]. % 0.88/1.10 apply (zenon_L105_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H16d | zenon_intro zenon_H16c ]. % 0.88/1.10 exact (zenon_H16d zenon_H166). % 0.88/1.10 exact (zenon_H16c zenon_H167). % 0.88/1.10 (* end of lemma zenon_L335_ *) % 0.88/1.10 assert (zenon_L336_ : ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp18)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H54 zenon_H167 zenon_H166 zenon_H6a zenon_H12 zenon_H50 zenon_H52. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H44 | zenon_intro zenon_H55 ]. % 0.88/1.10 apply (zenon_L335_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H51 | zenon_intro zenon_H53 ]. % 0.88/1.10 exact (zenon_H50 zenon_H51). % 0.88/1.10 exact (zenon_H52 zenon_H53). % 0.88/1.10 (* end of lemma zenon_L336_ *) % 0.88/1.10 assert (zenon_L337_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c3_1 (a1204)) -> (~(c1_1 (a1204))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp18)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H74 zenon_H124 zenon_H122 zenon_H1f1 zenon_H296 zenon_H295 zenon_H294 zenon_H54 zenon_H167 zenon_H166 zenon_H12 zenon_H50 zenon_H52. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H5a | zenon_intro zenon_H75 ]. % 0.88/1.10 apply (zenon_L334_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H6a ]. % 0.88/1.10 apply (zenon_L310_); trivial. % 0.88/1.10 apply (zenon_L336_); trivial. % 0.88/1.10 (* end of lemma zenon_L337_ *) % 0.88/1.10 assert (zenon_L338_ : ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1176))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp18)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H54 zenon_H166 zenon_H167 zenon_H165 zenon_H20b zenon_H12 zenon_H50 zenon_H52. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H44 | zenon_intro zenon_H55 ]. % 0.88/1.10 apply (zenon_L270_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H51 | zenon_intro zenon_H53 ]. % 0.88/1.10 exact (zenon_H50 zenon_H51). % 0.88/1.10 exact (zenon_H52 zenon_H53). % 0.88/1.10 (* end of lemma zenon_L338_ *) % 0.88/1.10 assert (zenon_L339_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(c1_1 (a1204))) -> (c3_1 (a1204)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1176))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp18)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H21a zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H294 zenon_H295 zenon_H296 zenon_H122 zenon_H124 zenon_H74 zenon_H54 zenon_H166 zenon_H167 zenon_H165 zenon_H12 zenon_H50 zenon_H52. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.10 apply (zenon_L50_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.10 apply (zenon_L337_); trivial. % 0.88/1.10 apply (zenon_L338_); trivial. % 0.88/1.10 (* end of lemma zenon_L339_ *) % 0.88/1.10 assert (zenon_L340_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(c3_1 (a1176))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H136 zenon_H92 zenon_H80 zenon_H74 zenon_H166 zenon_H167 zenon_H52 zenon_H54 zenon_H165 zenon_H21a zenon_H138 zenon_H139 zenon_H13a zenon_H9 zenon_H141 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_H1 zenon_H1ad zenon_H10c. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.10 apply (zenon_L333_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.10 apply (zenon_L80_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.10 apply (zenon_L339_); trivial. % 0.88/1.10 apply (zenon_L313_); trivial. % 0.88/1.10 (* end of lemma zenon_L340_ *) % 0.88/1.10 assert (zenon_L341_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H91 zenon_H92 zenon_H8f zenon_H8d zenon_H1 zenon_H1e zenon_H138 zenon_H139 zenon_H13a zenon_H9 zenon_H141. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.10 apply (zenon_L80_); trivial. % 0.88/1.10 apply (zenon_L151_); trivial. % 0.88/1.10 (* end of lemma zenon_L341_ *) % 0.88/1.10 assert (zenon_L342_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (ndr1_0) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> False). % 0.88/1.10 do 0 intro. intros zenon_Hcd zenon_H21 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_Hc8 zenon_H9b zenon_H9c zenon_H9d zenon_Hc4 zenon_He3 zenon_Hc7 zenon_H92 zenon_H12 zenon_H15b zenon_H15c zenon_H15d zenon_H5 zenon_Hab. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.10 apply (zenon_L131_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.10 apply (zenon_L80_); trivial. % 0.88/1.10 apply (zenon_L159_); trivial. % 0.88/1.10 apply (zenon_L154_); trivial. % 0.88/1.10 (* end of lemma zenon_L342_ *) % 0.88/1.10 assert (zenon_L343_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (c3_1 (a1204)) -> (~(c1_1 (a1204))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1176))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H7f zenon_H21a zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H124 zenon_H122 zenon_H1e zenon_H1 zenon_He3 zenon_H9d zenon_H9c zenon_H9b zenon_H166 zenon_H167 zenon_H165. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.10 apply (zenon_L50_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He0 | zenon_intro zenon_He4 ]. % 0.88/1.10 apply (zenon_L54_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H44 | zenon_intro zenon_H5a ]. % 0.88/1.10 apply (zenon_L150_); trivial. % 0.88/1.10 apply (zenon_L334_); trivial. % 0.88/1.10 apply (zenon_L272_); trivial. % 0.88/1.10 (* end of lemma zenon_L343_ *) % 0.88/1.10 assert (zenon_L344_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1176))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_Hdd zenon_H21 zenon_H10c zenon_H1ad zenon_H1 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_He3 zenon_H1e zenon_H9d zenon_H9c zenon_H9b zenon_H166 zenon_H167 zenon_H165 zenon_H21a zenon_H92 zenon_H136. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.10 apply (zenon_L333_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.10 apply (zenon_L80_); trivial. % 0.88/1.10 apply (zenon_L343_); trivial. % 0.88/1.10 apply (zenon_L11_); trivial. % 0.88/1.10 (* end of lemma zenon_L344_ *) % 0.88/1.10 assert (zenon_L345_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1176))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H175 zenon_Hdc zenon_H10c zenon_H1ad zenon_H1 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H1e zenon_H166 zenon_H167 zenon_H165 zenon_H21a zenon_H136 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H92 zenon_Hc7 zenon_He3 zenon_Hc4 zenon_Hc8 zenon_H138 zenon_H139 zenon_H13a zenon_H141 zenon_H21 zenon_Hcd. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.10 apply (zenon_L342_); trivial. % 0.88/1.10 apply (zenon_L344_); trivial. % 0.88/1.10 (* end of lemma zenon_L345_ *) % 0.88/1.10 assert (zenon_L346_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1176))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H145 zenon_H174 zenon_He3 zenon_Hcd zenon_H21 zenon_H1e zenon_H1 zenon_H141 zenon_Hc8 zenon_H143 zenon_Hc4 zenon_Hc7 zenon_H92 zenon_H15b zenon_H15c zenon_H15d zenon_Hab zenon_H95 zenon_H8f zenon_H10c zenon_H1ad zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H21a zenon_H165 zenon_H54 zenon_H167 zenon_H166 zenon_H74 zenon_H80 zenon_H136 zenon_Hdc. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.10 apply (zenon_L306_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.10 apply (zenon_L340_); trivial. % 0.88/1.10 apply (zenon_L341_); trivial. % 0.88/1.10 apply (zenon_L11_); trivial. % 0.88/1.10 apply (zenon_L345_); trivial. % 0.88/1.10 (* end of lemma zenon_L346_ *) % 0.88/1.10 assert (zenon_L347_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (ndr1_0) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp11)\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((hskp0)\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp9)\/(hskp25))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H15a zenon_H174 zenon_He3 zenon_H1e zenon_H141 zenon_H143 zenon_H92 zenon_Hab zenon_H95 zenon_H8f zenon_H1ad zenon_H21a zenon_H54 zenon_H74 zenon_H80 zenon_Hdc zenon_Hcd zenon_H21 zenon_Hc7 zenon_Hc4 zenon_H15b zenon_H15c zenon_H15d zenon_Hc8 zenon_Hd zenon_Hf zenon_H12 zenon_H165 zenon_H166 zenon_H167 zenon_H16e zenon_H10c zenon_H108 zenon_Hf9 zenon_H1 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H111 zenon_H10d zenon_H17a zenon_H12e zenon_H132 zenon_H136 zenon_H96. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.10 apply (zenon_L156_); trivial. % 0.88/1.10 apply (zenon_L325_); trivial. % 0.88/1.10 apply (zenon_L346_); trivial. % 0.88/1.10 (* end of lemma zenon_L347_ *) % 0.88/1.10 assert (zenon_L348_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c3_1 (a1181)) -> (c0_1 (a1181)) -> (~(c2_1 (a1181))) -> (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33)))))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp18)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H74 zenon_H149 zenon_H14a zenon_H148 zenon_Hf4 zenon_H296 zenon_H295 zenon_H294 zenon_H54 zenon_H167 zenon_H166 zenon_H12 zenon_H50 zenon_H52. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H5a | zenon_intro zenon_H75 ]. % 0.88/1.10 apply (zenon_L327_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H6a ]. % 0.88/1.10 apply (zenon_L310_); trivial. % 0.88/1.10 apply (zenon_L336_); trivial. % 0.88/1.10 (* end of lemma zenon_L348_ *) % 0.88/1.10 assert (zenon_L349_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(c2_1 (a1169))) -> (c3_1 (a1181)) -> (c0_1 (a1181)) -> (~(c2_1 (a1181))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H133 zenon_H80 zenon_H1af zenon_H12b zenon_H296 zenon_H295 zenon_H74 zenon_H166 zenon_H167 zenon_H52 zenon_H54 zenon_H294 zenon_H149 zenon_H14a zenon_H148 zenon_Hf9 zenon_Hfb. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 0.88/1.10 apply (zenon_L318_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 0.88/1.10 apply (zenon_L348_); trivial. % 0.88/1.10 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.10 apply (zenon_L329_); trivial. % 0.88/1.10 (* end of lemma zenon_L349_ *) % 0.88/1.10 assert (zenon_L350_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H91 zenon_H136 zenon_H12e zenon_H12b zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_H1 zenon_H1ad zenon_H10c. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.10 apply (zenon_L333_); trivial. % 0.88/1.10 apply (zenon_L77_); trivial. % 0.88/1.10 (* end of lemma zenon_L350_ *) % 0.88/1.10 assert (zenon_L351_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1181))) -> (c0_1 (a1181)) -> (c3_1 (a1181)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_Hdd zenon_H95 zenon_H12e zenon_H10c zenon_H1ad zenon_H1 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_Hfb zenon_Hf9 zenon_H148 zenon_H14a zenon_H149 zenon_H54 zenon_H167 zenon_H166 zenon_H74 zenon_H12b zenon_H1af zenon_H80 zenon_H136. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.10 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.10 apply (zenon_L333_); trivial. % 0.88/1.10 apply (zenon_L349_); trivial. % 0.88/1.10 apply (zenon_L350_); trivial. % 0.88/1.10 (* end of lemma zenon_L351_ *) % 0.88/1.10 assert (zenon_L352_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp15)) -> (~(hskp14)) -> (~(c1_1 (a1218))) -> (~(c0_1 (a1218))) -> (~(c3_1 (a1218))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp22)) -> (~(hskp2)) -> False). % 0.88/1.10 do 0 intro. intros zenon_H12d zenon_H1e8 zenon_Ha9 zenon_H5 zenon_Hff zenon_Hfe zenon_H100 zenon_Hab zenon_H34 zenon_H31 zenon_Hd. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.10 apply (zenon_L65_); trivial. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.10 apply (zenon_L229_); trivial. % 0.88/1.10 apply (zenon_L147_); trivial. % 0.88/1.10 (* end of lemma zenon_L352_ *) % 0.88/1.10 assert (zenon_L353_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (~(hskp22)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Ha9 zenon_Hab zenon_H1cf zenon_H5 zenon_H31 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H1d9 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.10 apply (zenon_L311_); trivial. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.10 apply (zenon_L138_); trivial. % 0.88/1.10 apply (zenon_L352_); trivial. % 0.88/1.10 (* end of lemma zenon_L353_ *) % 0.88/1.10 assert (zenon_L354_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.10 do 0 intro. intros zenon_H91 zenon_H136 zenon_H12e zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Ha9 zenon_Hab zenon_H1cf zenon_H5 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H1d9 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H3a zenon_H3b zenon_H3c zenon_H8f zenon_H8d zenon_H56 zenon_H58 zenon_H92. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.10 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.10 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.10 apply (zenon_L353_); trivial. % 0.88/1.10 apply (zenon_L35_); trivial. % 0.88/1.10 apply (zenon_L77_); trivial. % 0.88/1.10 (* end of lemma zenon_L354_ *) % 0.88/1.10 assert (zenon_L355_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_Hdd zenon_H136 zenon_H1af zenon_H12b zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1 zenon_H1ad zenon_H10c. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_L333_); trivial. % 0.88/1.11 apply (zenon_L119_); trivial. % 0.88/1.11 (* end of lemma zenon_L355_ *) % 0.88/1.11 assert (zenon_L356_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Ha9 zenon_Hab zenon_H1cf zenon_H5 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H1d9 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H9b zenon_H9c zenon_H9d zenon_H58 zenon_H56 zenon_He3 zenon_H92. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.11 apply (zenon_L353_); trivial. % 0.88/1.11 apply (zenon_L211_); trivial. % 0.88/1.11 apply (zenon_L119_); trivial. % 0.88/1.11 (* end of lemma zenon_L356_ *) % 0.88/1.11 assert (zenon_L357_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H97 zenon_Hdc zenon_H1 zenon_H1ad zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Hab zenon_H1cf zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H1d9 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H9b zenon_H9c zenon_H9d zenon_H58 zenon_H56 zenon_He3 zenon_H92 zenon_Hcd. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.11 apply (zenon_L356_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.11 apply (zenon_L149_); trivial. % 0.88/1.11 apply (zenon_L56_); trivial. % 0.88/1.11 apply (zenon_L355_); trivial. % 0.88/1.11 (* end of lemma zenon_L357_ *) % 0.88/1.11 assert (zenon_L358_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H175 zenon_H96 zenon_Hdc zenon_H1ad zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_Hab zenon_H1cf zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H1d9 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H58 zenon_H56 zenon_He3 zenon_H92 zenon_Hcd zenon_Hf zenon_Hd zenon_H1 zenon_H1e zenon_H21. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.11 apply (zenon_L12_); trivial. % 0.88/1.11 apply (zenon_L357_); trivial. % 0.88/1.11 (* end of lemma zenon_L358_ *) % 0.88/1.11 assert (zenon_L359_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H15a zenon_H141 zenon_H143 zenon_H96 zenon_Hdc zenon_H1ad zenon_H95 zenon_H12e zenon_H8f zenon_H92 zenon_H80 zenon_H74 zenon_H54 zenon_H56 zenon_H58 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1d9 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1cf zenon_Hab zenon_H34 zenon_H1e8 zenon_H132 zenon_H10c zenon_H1af zenon_H136 zenon_Hcd zenon_Hf zenon_Hd zenon_H1 zenon_H1e zenon_H21 zenon_He3 zenon_H174. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.11 apply (zenon_L12_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.11 apply (zenon_L353_); trivial. % 0.88/1.11 apply (zenon_L314_); trivial. % 0.88/1.11 apply (zenon_L119_); trivial. % 0.88/1.11 apply (zenon_L354_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.11 apply (zenon_L149_); trivial. % 0.88/1.11 apply (zenon_L314_); trivial. % 0.88/1.11 apply (zenon_L152_); trivial. % 0.88/1.11 apply (zenon_L355_); trivial. % 0.88/1.11 apply (zenon_L358_); trivial. % 0.88/1.11 apply (zenon_L85_); trivial. % 0.88/1.11 (* end of lemma zenon_L359_ *) % 0.88/1.11 assert (zenon_L360_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H175 zenon_Hdc zenon_H136 zenon_H1af zenon_H12b zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1 zenon_H1ad zenon_H10c zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H1cf zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H1d9 zenon_Hc8 zenon_Hc4 zenon_He3 zenon_Hc7 zenon_H92 zenon_Hcd. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.11 apply (zenon_L160_); trivial. % 0.88/1.11 apply (zenon_L355_); trivial. % 0.88/1.11 (* end of lemma zenon_L360_ *) % 0.88/1.11 assert (zenon_L361_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (ndr1_0) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H15a zenon_H143 zenon_H141 zenon_H96 zenon_H92 zenon_H80 zenon_H1ab zenon_H1a9 zenon_H74 zenon_H54 zenon_H1d9 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1cf zenon_H34 zenon_H1e8 zenon_H132 zenon_H1e zenon_H1 zenon_H8f zenon_H95 zenon_Hcd zenon_H21 zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_Hd zenon_Hf zenon_H12 zenon_H15b zenon_H15c zenon_H15d zenon_Hab zenon_Hd8 zenon_Hda zenon_Hdc zenon_He3 zenon_H10c zenon_H1ad zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H1af zenon_H136 zenon_H174. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.11 apply (zenon_L322_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.11 apply (zenon_L131_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.11 apply (zenon_L149_); trivial. % 0.88/1.11 apply (zenon_L135_); trivial. % 0.88/1.11 apply (zenon_L152_); trivial. % 0.88/1.11 apply (zenon_L91_); trivial. % 0.88/1.11 apply (zenon_L360_); trivial. % 0.88/1.11 apply (zenon_L307_); trivial. % 0.88/1.11 (* end of lemma zenon_L361_ *) % 0.88/1.11 assert (zenon_L362_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.88/1.11 do 0 intro. intros zenon_H1d9 zenon_H164 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H12 zenon_H10f. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1da ]. % 0.88/1.11 apply (zenon_L137_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H19f | zenon_intro zenon_H110 ]. % 0.88/1.11 apply (zenon_L115_); trivial. % 0.88/1.11 exact (zenon_H10f zenon_H110). % 0.88/1.11 (* end of lemma zenon_L362_ *) % 0.88/1.11 assert (zenon_L363_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> (~(hskp25)) -> (ndr1_0) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(hskp0)) -> False). % 0.88/1.11 do 0 intro. intros zenon_H1cd zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H10f zenon_H12 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H1. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1ce ]. % 0.88/1.11 apply (zenon_L123_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H164 | zenon_intro zenon_H2 ]. % 0.88/1.11 apply (zenon_L362_); trivial. % 0.88/1.11 exact (zenon_H1 zenon_H2). % 0.88/1.11 (* end of lemma zenon_L363_ *) % 0.88/1.11 assert (zenon_L364_ : (forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c2_1 (a1182)) -> (c3_1 (a1182)) -> (c1_1 (a1182)) -> False). % 0.88/1.11 do 0 intro. intros zenon_H6a zenon_H12 zenon_H1e5 zenon_H113 zenon_H114 zenon_H115. % 0.88/1.11 generalize (zenon_H6a (a1182)). zenon_intro zenon_H2af. % 0.88/1.11 apply (zenon_imply_s _ _ zenon_H2af); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b0 ]. % 0.88/1.11 exact (zenon_H11 zenon_H12). % 0.88/1.11 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H11d | zenon_intro zenon_H2b1 ]. % 0.88/1.11 apply (zenon_L145_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ]. % 0.88/1.11 exact (zenon_H120 zenon_H115). % 0.88/1.11 exact (zenon_H11f zenon_H113). % 0.88/1.11 (* end of lemma zenon_L364_ *) % 0.88/1.11 assert (zenon_L365_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c3_1 (a1211)) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c2_1 (a1182)) -> (c3_1 (a1182)) -> (c1_1 (a1182)) -> False). % 0.88/1.11 do 0 intro. intros zenon_H74 zenon_H5b zenon_H45 zenon_H43 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_H1e5 zenon_H113 zenon_H114 zenon_H115. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H5a | zenon_intro zenon_H75 ]. % 0.88/1.11 apply (zenon_L26_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H6a ]. % 0.88/1.11 apply (zenon_L310_); trivial. % 0.88/1.11 apply (zenon_L364_); trivial. % 0.88/1.11 (* end of lemma zenon_L365_ *) % 0.88/1.11 assert (zenon_L366_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (c3_1 (a1211)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(c0_1 (a1218))) -> (~(c1_1 (a1218))) -> (~(c3_1 (a1218))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp0)) -> False). % 0.88/1.11 do 0 intro. intros zenon_H12d zenon_H1cd zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H294 zenon_H295 zenon_H296 zenon_H43 zenon_H45 zenon_H5b zenon_H74 zenon_Haf zenon_Hb0 zenon_Hfe zenon_Hff zenon_H100 zenon_H1e8 zenon_H1. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1ce ]. % 0.88/1.11 apply (zenon_L123_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H164 | zenon_intro zenon_H2 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.11 apply (zenon_L65_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.11 apply (zenon_L143_); trivial. % 0.88/1.11 apply (zenon_L365_); trivial. % 0.88/1.11 exact (zenon_H1 zenon_H2). % 0.88/1.11 (* end of lemma zenon_L366_ *) % 0.88/1.11 assert (zenon_L367_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp11)\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H174 zenon_Hab zenon_He3 zenon_H21 zenon_H1e zenon_H1 zenon_Hd zenon_Hf zenon_Hcd zenon_H95 zenon_H8f zenon_H1d9 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H34 zenon_H1e8 zenon_H132 zenon_H1cf zenon_H58 zenon_H56 zenon_H54 zenon_H294 zenon_H295 zenon_H296 zenon_H74 zenon_H80 zenon_H92 zenon_H165 zenon_H166 zenon_H167 zenon_H12b zenon_H16e zenon_H10c zenon_H1ad zenon_Hf3 zenon_H1af zenon_H136 zenon_Hdc zenon_H96. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.11 apply (zenon_L12_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.11 apply (zenon_L94_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.11 apply (zenon_L132_); trivial. % 0.88/1.11 apply (zenon_L314_); trivial. % 0.88/1.11 apply (zenon_L152_); trivial. % 0.88/1.11 apply (zenon_L355_); trivial. % 0.88/1.11 apply (zenon_L358_); trivial. % 0.88/1.11 (* end of lemma zenon_L367_ *) % 0.88/1.11 assert (zenon_L368_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(c3_1 (a1176))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H136 zenon_H92 zenon_H80 zenon_H1ab zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H3b zenon_H3a zenon_H3c zenon_H74 zenon_H166 zenon_H167 zenon_H52 zenon_H54 zenon_H165 zenon_H21a zenon_H138 zenon_H139 zenon_H13a zenon_H9 zenon_H141 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_H1 zenon_H1ad zenon_H10c. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_L333_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.11 apply (zenon_L80_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.11 apply (zenon_L339_); trivial. % 0.88/1.11 apply (zenon_L133_); trivial. % 0.88/1.11 (* end of lemma zenon_L368_ *) % 0.88/1.11 assert (zenon_L369_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(c3_1 (a1176))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_Hdd zenon_H21 zenon_H136 zenon_H92 zenon_H80 zenon_H1ab zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H3b zenon_H3a zenon_H3c zenon_H74 zenon_H166 zenon_H167 zenon_H54 zenon_H165 zenon_H21a zenon_H138 zenon_H139 zenon_H13a zenon_H141 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1 zenon_H1ad zenon_H10c zenon_H1e zenon_H8d zenon_H8f zenon_H95. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.11 apply (zenon_L368_); trivial. % 0.88/1.11 apply (zenon_L341_); trivial. % 0.88/1.11 apply (zenon_L11_); trivial. % 0.88/1.11 (* end of lemma zenon_L369_ *) % 0.88/1.11 assert (zenon_L370_ : ((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H1c8 zenon_H1cc zenon_H1cd zenon_H174 zenon_He3 zenon_H21 zenon_H1e zenon_H1 zenon_Hd zenon_Hf zenon_Hcd zenon_H95 zenon_H8f zenon_H1d9 zenon_H34 zenon_H1e8 zenon_H132 zenon_H1cf zenon_H167 zenon_H166 zenon_H165 zenon_Hc8 zenon_Hc4 zenon_H54 zenon_H74 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1ab zenon_H80 zenon_Hc7 zenon_H92 zenon_Hab zenon_H10c zenon_H1ad zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H1af zenon_H136 zenon_Hdc zenon_H96 zenon_H21a zenon_H143 zenon_H141 zenon_H15a. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.11 apply (zenon_L12_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.11 apply (zenon_L153_); trivial. % 0.88/1.11 apply (zenon_L355_); trivial. % 0.88/1.11 apply (zenon_L360_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.11 apply (zenon_L12_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.11 apply (zenon_L306_); trivial. % 0.88/1.11 apply (zenon_L369_); trivial. % 0.88/1.11 apply (zenon_L345_); trivial. % 0.88/1.11 apply (zenon_L130_); trivial. % 0.88/1.11 (* end of lemma zenon_L370_ *) % 0.88/1.11 assert (zenon_L371_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H5 zenon_Ha9 zenon_Hab zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.11 apply (zenon_L311_); trivial. % 0.88/1.11 apply (zenon_L230_); trivial. % 0.88/1.11 (* end of lemma zenon_L371_ *) % 0.88/1.11 assert (zenon_L372_ : ((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp11)) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(c1_1 (a1204))) -> (~(c2_1 (a1204))) -> (c3_1 (a1204)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp3)) -> False). % 0.88/1.11 do 0 intro. intros zenon_H245 zenon_Hfb zenon_H12b zenon_H295 zenon_H296 zenon_H122 zenon_H123 zenon_H124 zenon_H1af zenon_Hf9. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H12. zenon_intro zenon_H246. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H23d. zenon_intro zenon_H247. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H23e. zenon_intro zenon_H23c. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 0.88/1.11 apply (zenon_L318_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 0.88/1.11 apply (zenon_L196_); trivial. % 0.88/1.11 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.11 (* end of lemma zenon_L372_ *) % 0.88/1.11 assert (zenon_L373_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H133 zenon_H248 zenon_Hfb zenon_Hf9 zenon_H295 zenon_H296 zenon_H1af zenon_H238 zenon_H8d zenon_H214 zenon_H1f2 zenon_H1f0 zenon_H12b zenon_H12e. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H236 | zenon_intro zenon_H245 ]. % 0.88/1.11 apply (zenon_L195_); trivial. % 0.88/1.11 apply (zenon_L372_); trivial. % 0.88/1.11 (* end of lemma zenon_L373_ *) % 0.88/1.11 assert (zenon_L374_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H136 zenon_H248 zenon_Hfb zenon_Hf9 zenon_H1af zenon_H238 zenon_H8d zenon_H12b zenon_H12e zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hab zenon_Ha9 zenon_H5 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_L371_); trivial. % 0.88/1.11 apply (zenon_L373_); trivial. % 0.88/1.11 (* end of lemma zenon_L374_ *) % 0.88/1.11 assert (zenon_L375_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp14)) -> (~(hskp22)) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.11 do 0 intro. intros zenon_H107 zenon_H1e8 zenon_H5 zenon_H31 zenon_Haf zenon_Hb0 zenon_H1cf zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.11 apply (zenon_L65_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.11 apply (zenon_L144_); trivial. % 0.88/1.11 apply (zenon_L172_); trivial. % 0.88/1.11 (* end of lemma zenon_L375_ *) % 0.88/1.11 assert (zenon_L376_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(hskp22)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Haf zenon_Hb0 zenon_H31 zenon_H5 zenon_H1cf zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.11 apply (zenon_L311_); trivial. % 0.88/1.11 apply (zenon_L375_); trivial. % 0.88/1.11 (* end of lemma zenon_L376_ *) % 0.88/1.11 assert (zenon_L377_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp18)) -> (~(c1_1 (a1195))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H92 zenon_H80 zenon_H74 zenon_H54 zenon_H52 zenon_Hae zenon_Hf3 zenon_Hef zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_H1cf zenon_H5 zenon_Hb0 zenon_Haf zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.11 apply (zenon_L376_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.11 apply (zenon_L237_); trivial. % 0.88/1.11 apply (zenon_L313_); trivial. % 0.88/1.11 (* end of lemma zenon_L377_ *) % 0.88/1.11 assert (zenon_L378_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c1_1 (a1195))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H136 zenon_H248 zenon_Hfb zenon_Hf9 zenon_H1af zenon_H238 zenon_H8d zenon_H12b zenon_H12e zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Haf zenon_Hb0 zenon_H5 zenon_H1cf zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_Hae zenon_H52 zenon_H54 zenon_H74 zenon_H80 zenon_H92. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_L377_); trivial. % 0.88/1.11 apply (zenon_L373_); trivial. % 0.88/1.11 (* end of lemma zenon_L378_ *) % 0.88/1.11 assert (zenon_L379_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1202))) -> (c1_1 (a1202)) -> (c3_1 (a1202)) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c1_1 (a1192)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H92 zenon_H58 zenon_H56 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H8f zenon_H3c zenon_H3b zenon_H3a zenon_Hf3 zenon_Hef zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_H1cf zenon_H5 zenon_Hb0 zenon_Haf zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.11 apply (zenon_L376_); trivial. % 0.88/1.11 apply (zenon_L35_); trivial. % 0.88/1.11 (* end of lemma zenon_L379_ *) % 0.88/1.11 assert (zenon_L380_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_Hcd zenon_H95 zenon_H3a zenon_H3b zenon_H3c zenon_H8f zenon_H56 zenon_H58 zenon_H92 zenon_H80 zenon_H74 zenon_H54 zenon_H1cf zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H5 zenon_Hab zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H12e zenon_H12b zenon_H8d zenon_H238 zenon_H1af zenon_Hf9 zenon_Hfb zenon_H248 zenon_H136. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.11 apply (zenon_L374_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.11 apply (zenon_L378_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_L379_); trivial. % 0.88/1.11 apply (zenon_L77_); trivial. % 0.88/1.11 (* end of lemma zenon_L380_ *) % 0.88/1.11 assert (zenon_L381_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_Hdd zenon_H136 zenon_H248 zenon_Hfb zenon_Hf9 zenon_H1af zenon_H238 zenon_H8d zenon_H214 zenon_H1f2 zenon_H1f0 zenon_H12b zenon_H12e zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1 zenon_H1ad zenon_H10c. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_L333_); trivial. % 0.88/1.11 apply (zenon_L373_); trivial. % 0.88/1.11 (* end of lemma zenon_L381_ *) % 0.88/1.11 assert (zenon_L382_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> (~(hskp6)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H15a zenon_H21 zenon_H141 zenon_H143 zenon_H96 zenon_Hdc zenon_H1 zenon_H1ad zenon_H136 zenon_H248 zenon_Hfb zenon_Hf9 zenon_H1af zenon_H238 zenon_H12e zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H1cf zenon_H54 zenon_H74 zenon_H80 zenon_H92 zenon_H58 zenon_H56 zenon_H8f zenon_H95 zenon_Hcd zenon_H24 zenon_H22 zenon_H1a9 zenon_H1ea zenon_H38 zenon_H222 zenon_H224 zenon_H174. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.11 apply (zenon_L163_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.11 apply (zenon_L380_); trivial. % 0.88/1.11 apply (zenon_L381_); trivial. % 0.88/1.11 apply (zenon_L182_); trivial. % 0.88/1.11 apply (zenon_L183_); trivial. % 0.88/1.11 (* end of lemma zenon_L382_ *) % 0.88/1.11 assert (zenon_L383_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c1_1 (a1195))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H136 zenon_H1c3 zenon_H1 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Haf zenon_Hb0 zenon_H5 zenon_H1cf zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_Hae zenon_H52 zenon_H54 zenon_H74 zenon_H80 zenon_H92. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_L377_); trivial. % 0.88/1.11 apply (zenon_L264_); trivial. % 0.88/1.11 (* end of lemma zenon_L383_ *) % 0.88/1.11 assert (zenon_L384_ : (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(c1_1 (a1207))) -> (c2_1 (a1207)) -> (c3_1 (a1207)) -> False). % 0.88/1.11 do 0 intro. intros zenon_H7b zenon_H12 zenon_H1fd zenon_H1ff zenon_H1fe. % 0.88/1.11 generalize (zenon_H7b (a1207)). zenon_intro zenon_H2b2. % 0.88/1.11 apply (zenon_imply_s _ _ zenon_H2b2); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b3 ]. % 0.88/1.11 exact (zenon_H11 zenon_H12). % 0.88/1.11 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H203 | zenon_intro zenon_H2b4 ]. % 0.88/1.11 exact (zenon_H1fd zenon_H203). % 0.88/1.11 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H204 | zenon_intro zenon_H20a ]. % 0.88/1.11 exact (zenon_H204 zenon_H1ff). % 0.88/1.11 exact (zenon_H20a zenon_H1fe). % 0.88/1.11 (* end of lemma zenon_L384_ *) % 0.88/1.11 assert (zenon_L385_ : ((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp20)) -> (~(hskp12)) -> False). % 0.88/1.11 do 0 intro. intros zenon_H219 zenon_H238 zenon_H236 zenon_H8d. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21b. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ff. zenon_intro zenon_H21c. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H7b | zenon_intro zenon_H239 ]. % 0.88/1.11 apply (zenon_L384_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H237 | zenon_intro zenon_H8e ]. % 0.88/1.11 exact (zenon_H236 zenon_H237). % 0.88/1.11 exact (zenon_H8d zenon_H8e). % 0.88/1.11 (* end of lemma zenon_L385_ *) % 0.88/1.11 assert (zenon_L386_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c3_1 (a1205)) -> (c1_1 (a1205)) -> (~(c2_1 (a1205))) -> (~(c0_1 (a1172))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> (~(hskp12)) -> (ndr1_0) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (~(c0_1 (a1202))) -> (c1_1 (a1202)) -> (c3_1 (a1202)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp7)) -> False). % 0.88/1.11 do 0 intro. intros zenon_H58 zenon_Hc4 zenon_H23e zenon_H23d zenon_H23c zenon_H1f0 zenon_Hce zenon_H214 zenon_H1f2 zenon_H8d zenon_H12 zenon_H43 zenon_H45 zenon_H84 zenon_H85 zenon_H86 zenon_H8f zenon_H56. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.11 apply (zenon_L204_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.11 apply (zenon_L34_); trivial. % 0.88/1.11 exact (zenon_H56 zenon_H57). % 0.88/1.11 (* end of lemma zenon_L386_ *) % 0.88/1.11 assert (zenon_L387_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp8)\/((hskp21)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c1_1 (a1195))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H91 zenon_H136 zenon_H12e zenon_H12b zenon_H21e zenon_H238 zenon_H8d zenon_H22 zenon_H1ee zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Haf zenon_Hb0 zenon_H5 zenon_H1cf zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H1ad zenon_H1 zenon_H8f zenon_Hc4 zenon_H56 zenon_H58 zenon_Hae zenon_H1cd zenon_H92 zenon_H248. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H236 | zenon_intro zenon_H245 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H1ec | zenon_intro zenon_H219 ]. % 0.88/1.11 apply (zenon_L166_); trivial. % 0.88/1.11 apply (zenon_L385_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H12. zenon_intro zenon_H246. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H23d. zenon_intro zenon_H247. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H23e. zenon_intro zenon_H23c. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.11 apply (zenon_L376_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1ce ]. % 0.88/1.11 apply (zenon_L123_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H164 | zenon_intro zenon_H2 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1ae ]. % 0.88/1.11 apply (zenon_L140_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hce | zenon_intro zenon_H2 ]. % 0.88/1.11 apply (zenon_L386_); trivial. % 0.88/1.11 exact (zenon_H1 zenon_H2). % 0.88/1.11 exact (zenon_H1 zenon_H2). % 0.88/1.11 apply (zenon_L77_); trivial. % 0.88/1.11 (* end of lemma zenon_L387_ *) % 0.88/1.11 assert (zenon_L388_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H136 zenon_H1c3 zenon_H1 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hab zenon_Ha9 zenon_H5 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_L371_); trivial. % 0.88/1.11 apply (zenon_L264_); trivial. % 0.88/1.11 (* end of lemma zenon_L388_ *) % 0.88/1.11 assert (zenon_L389_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_Hcd zenon_H21 zenon_H1e zenon_H143 zenon_H13a zenon_H139 zenon_H138 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H5 zenon_Hab zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H1 zenon_H1c3 zenon_H136. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.11 apply (zenon_L388_); trivial. % 0.88/1.11 apply (zenon_L218_); trivial. % 0.88/1.11 (* end of lemma zenon_L389_ *) % 0.88/1.11 assert (zenon_L390_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.11 apply (zenon_L311_); trivial. % 0.88/1.11 apply (zenon_L262_); trivial. % 0.88/1.11 (* end of lemma zenon_L390_ *) % 0.88/1.11 assert (zenon_L391_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_Hdd zenon_H136 zenon_H1c3 zenon_H1 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hda zenon_Hd8 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_L390_); trivial. % 0.88/1.11 apply (zenon_L264_); trivial. % 0.88/1.11 (* end of lemma zenon_L391_ *) % 0.88/1.11 assert (zenon_L392_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H145 zenon_Hdc zenon_Hda zenon_Hd8 zenon_H136 zenon_H1c3 zenon_H1 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H143 zenon_H1e zenon_H21 zenon_Hcd. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.11 apply (zenon_L389_); trivial. % 0.88/1.11 apply (zenon_L391_); trivial. % 0.88/1.11 (* end of lemma zenon_L392_ *) % 0.88/1.11 assert (zenon_L393_ : ((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((hskp8)\/((hskp21)\/(hskp19))) -> (~(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> (~(hskp6)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H1c5 zenon_H15a zenon_Hda zenon_Hd8 zenon_H143 zenon_H1e zenon_H21 zenon_Hdc zenon_H136 zenon_H248 zenon_Hfb zenon_Hf9 zenon_H1af zenon_H238 zenon_H12e zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H1c3 zenon_H1 zenon_H1cf zenon_H54 zenon_H74 zenon_H80 zenon_H92 zenon_H1cd zenon_H58 zenon_H56 zenon_Hc4 zenon_H8f zenon_H1ad zenon_H1ee zenon_H22 zenon_H21e zenon_H95 zenon_Hcd zenon_H222 zenon_H224 zenon_H174. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.11 apply (zenon_L374_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.11 apply (zenon_L383_); trivial. % 0.88/1.11 apply (zenon_L387_); trivial. % 0.88/1.11 apply (zenon_L381_); trivial. % 0.88/1.11 apply (zenon_L182_); trivial. % 0.88/1.11 apply (zenon_L392_); trivial. % 0.88/1.11 (* end of lemma zenon_L393_ *) % 0.88/1.11 assert (zenon_L394_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c1_1 (a1195))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H136 zenon_H248 zenon_Hfb zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H238 zenon_H8d zenon_H12b zenon_H12e zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Haf zenon_Hb0 zenon_H5 zenon_H1cf zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_Hae zenon_H52 zenon_H54 zenon_H74 zenon_H80 zenon_H92. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_L377_); trivial. % 0.88/1.11 apply (zenon_L198_); trivial. % 0.88/1.11 (* end of lemma zenon_L394_ *) % 0.88/1.11 assert (zenon_L395_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c3_1 (a1202)) -> (c1_1 (a1202)) -> (~(c0_1 (a1202))) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4))))) -> (~(c1_1 (a1195))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.88/1.11 do 0 intro. intros zenon_H8f zenon_H86 zenon_H85 zenon_H84 zenon_Hb0 zenon_Haf zenon_Hfd zenon_Hae zenon_H12 zenon_H8d. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.11 apply (zenon_L32_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.11 apply (zenon_L214_); trivial. % 0.88/1.11 exact (zenon_H8d zenon_H8e). % 0.88/1.11 (* end of lemma zenon_L395_ *) % 0.88/1.11 assert (zenon_L396_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a1180))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> False). % 0.88/1.11 do 0 intro. intros zenon_H39 zenon_H12 zenon_He6 zenon_H180 zenon_He7 zenon_He8. % 0.88/1.11 generalize (zenon_H39 (a1180)). zenon_intro zenon_H251. % 0.88/1.11 apply (zenon_imply_s _ _ zenon_H251); [ zenon_intro zenon_H11 | zenon_intro zenon_H252 ]. % 0.88/1.11 exact (zenon_H11 zenon_H12). % 0.88/1.11 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 0.88/1.11 exact (zenon_He6 zenon_Hec). % 0.88/1.11 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H254 | zenon_intro zenon_Hed ]. % 0.88/1.11 generalize (zenon_H180 (a1180)). zenon_intro zenon_H2b5. % 0.88/1.11 apply (zenon_imply_s _ _ zenon_H2b5); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b6 ]. % 0.88/1.11 exact (zenon_H11 zenon_H12). % 0.88/1.11 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hec | zenon_intro zenon_H2b7 ]. % 0.88/1.11 exact (zenon_He6 zenon_Hec). % 0.88/1.11 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_Hee | zenon_intro zenon_H258 ]. % 0.88/1.11 exact (zenon_He7 zenon_Hee). % 0.88/1.11 exact (zenon_H258 zenon_H254). % 0.88/1.11 exact (zenon_Hed zenon_He8). % 0.88/1.11 (* end of lemma zenon_L396_ *) % 0.88/1.11 assert (zenon_L397_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a1180))) -> (~(hskp12)) -> (ndr1_0) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (~(c0_1 (a1202))) -> (c1_1 (a1202)) -> (c3_1 (a1202)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp7)) -> False). % 0.88/1.11 do 0 intro. intros zenon_H58 zenon_He8 zenon_He7 zenon_H180 zenon_He6 zenon_H8d zenon_H12 zenon_H43 zenon_H45 zenon_H84 zenon_H85 zenon_H86 zenon_H8f zenon_H56. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.11 apply (zenon_L396_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.11 apply (zenon_L34_); trivial. % 0.88/1.11 exact (zenon_H56 zenon_H57). % 0.88/1.11 (* end of lemma zenon_L397_ *) % 0.88/1.11 assert (zenon_L398_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a1195))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H91 zenon_H136 zenon_H12e zenon_H12b zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Haf zenon_Hb0 zenon_H5 zenon_H1cf zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H8f zenon_H8d zenon_Hae zenon_H58 zenon_H56 zenon_He8 zenon_He7 zenon_He6 zenon_H92. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.11 apply (zenon_L376_); trivial. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.11 apply (zenon_L395_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.11 apply (zenon_L397_); trivial. % 0.88/1.11 apply (zenon_L172_); trivial. % 0.88/1.11 apply (zenon_L77_); trivial. % 0.88/1.11 (* end of lemma zenon_L398_ *) % 0.88/1.11 assert (zenon_L399_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_Hca zenon_H95 zenon_H8f zenon_H58 zenon_H56 zenon_H92 zenon_H80 zenon_H74 zenon_H54 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1cf zenon_H5 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H12e zenon_H12b zenon_H8d zenon_H238 zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_Hfb zenon_H248 zenon_H136. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.11 apply (zenon_L394_); trivial. % 0.88/1.11 apply (zenon_L398_); trivial. % 0.88/1.11 (* end of lemma zenon_L399_ *) % 0.88/1.11 assert (zenon_L400_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H174 zenon_H224 zenon_H222 zenon_Hcd zenon_H95 zenon_H8f zenon_H58 zenon_H56 zenon_H92 zenon_H80 zenon_H74 zenon_H54 zenon_H1cf zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Hab zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H12e zenon_H12b zenon_H238 zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_Hfb zenon_H248 zenon_H136 zenon_H1ad zenon_H1 zenon_H1af zenon_Hdc. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.11 apply (zenon_L371_); trivial. % 0.88/1.11 apply (zenon_L198_); trivial. % 0.88/1.11 apply (zenon_L399_); trivial. % 0.88/1.11 apply (zenon_L381_); trivial. % 0.88/1.11 apply (zenon_L182_); trivial. % 0.88/1.11 (* end of lemma zenon_L400_ *) % 0.88/1.11 assert (zenon_L401_ : ((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> (~(hskp6)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H170 zenon_H15a zenon_Hd8 zenon_Hda zenon_He3 zenon_H21a zenon_Hc4 zenon_H143 zenon_H141 zenon_H1e zenon_H21 zenon_Hdc zenon_H1af zenon_H1 zenon_H1ad zenon_H136 zenon_H248 zenon_Hfb zenon_Hf9 zenon_H238 zenon_H12e zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H1cf zenon_H54 zenon_H74 zenon_H80 zenon_H92 zenon_H56 zenon_H58 zenon_H8f zenon_H95 zenon_Hcd zenon_H222 zenon_H224 zenon_H174. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.11 apply (zenon_L400_); trivial. % 0.88/1.11 apply (zenon_L224_); trivial. % 0.88/1.11 (* end of lemma zenon_L401_ *) % 0.88/1.11 assert (zenon_L402_ : ((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c3_1 (a1202)) -> (c1_1 (a1202)) -> (~(c0_1 (a1202))) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp12)) -> False). % 0.88/1.11 do 0 intro. intros zenon_Hc3 zenon_H8f zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H45 zenon_Hc4 zenon_H8d. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H12. zenon_intro zenon_Hc5. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.88/1.11 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.11 apply (zenon_L32_); trivial. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.11 apply (zenon_L157_); trivial. % 0.88/1.11 exact (zenon_H8d zenon_H8e). % 0.88/1.11 (* end of lemma zenon_L402_ *) % 0.88/1.11 assert (zenon_L403_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c3_1 (a1202)) -> (c1_1 (a1202)) -> (~(c0_1 (a1202))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H7f zenon_Hc7 zenon_H8f zenon_H8d zenon_Hc4 zenon_H86 zenon_H85 zenon_H84 zenon_H15b zenon_H15c zenon_H15d zenon_Hae zenon_Haf zenon_Hb0 zenon_Hc8. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc3 ]. % 0.88/1.11 apply (zenon_L98_); trivial. % 0.88/1.11 apply (zenon_L402_); trivial. % 0.88/1.11 (* end of lemma zenon_L403_ *) % 0.88/1.11 assert (zenon_L404_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1195)) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H91 zenon_H92 zenon_Hc7 zenon_H8f zenon_H8d zenon_Hc4 zenon_H15b zenon_H15c zenon_H15d zenon_Hc8 zenon_H1cf zenon_H5 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.11 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.11 apply (zenon_L234_); trivial. % 0.88/1.11 apply (zenon_L403_); trivial. % 0.88/1.11 (* end of lemma zenon_L404_ *) % 0.88/1.11 assert (zenon_L405_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (ndr1_0) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> False). % 0.88/1.11 do 0 intro. intros zenon_Hcd zenon_H21 zenon_H1e zenon_H1 zenon_H143 zenon_H13a zenon_H139 zenon_H138 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H12 zenon_H15b zenon_H15c zenon_H15d zenon_H5 zenon_Hab. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.11 apply (zenon_L131_); trivial. % 0.88/1.11 apply (zenon_L218_); trivial. % 0.88/1.11 (* end of lemma zenon_L405_ *) % 0.88/1.11 assert (zenon_L406_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.11 do 0 intro. intros zenon_H145 zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H143 zenon_H1 zenon_H1e zenon_H21 zenon_Hcd. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.11 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.11 apply (zenon_L405_); trivial. % 0.88/1.11 apply (zenon_L91_); trivial. % 0.88/1.11 (* end of lemma zenon_L406_ *) % 0.88/1.11 assert (zenon_L407_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hab zenon_Ha9 zenon_H5 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.12 apply (zenon_L371_); trivial. % 0.88/1.12 apply (zenon_L233_); trivial. % 0.88/1.12 (* end of lemma zenon_L407_ *) % 0.88/1.12 assert (zenon_L408_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c3_1 (a1211)) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a1178))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> False). % 0.88/1.12 do 0 intro. intros zenon_H74 zenon_H5b zenon_H45 zenon_H43 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_H180 zenon_H266 zenon_H268 zenon_H267. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H5a | zenon_intro zenon_H75 ]. % 0.88/1.12 apply (zenon_L26_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H6a ]. % 0.88/1.12 apply (zenon_L310_); trivial. % 0.88/1.12 generalize (zenon_H6a (a1178)). zenon_intro zenon_H2b8. % 0.88/1.12 apply (zenon_imply_s _ _ zenon_H2b8); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b9 ]. % 0.88/1.12 exact (zenon_H11 zenon_H12). % 0.88/1.12 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H283 | zenon_intro zenon_H26b ]. % 0.88/1.12 generalize (zenon_H180 (a1178)). zenon_intro zenon_H2ba. % 0.88/1.12 apply (zenon_imply_s _ _ zenon_H2ba); [ zenon_intro zenon_H11 | zenon_intro zenon_H2bb ]. % 0.88/1.12 exact (zenon_H11 zenon_H12). % 0.88/1.12 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H27f | zenon_intro zenon_H2bc ]. % 0.88/1.12 exact (zenon_H283 zenon_H27f). % 0.88/1.12 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H26c | zenon_intro zenon_H26d ]. % 0.88/1.12 exact (zenon_H266 zenon_H26c). % 0.88/1.12 exact (zenon_H26d zenon_H268). % 0.88/1.12 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H26e | zenon_intro zenon_H26d ]. % 0.88/1.12 exact (zenon_H26e zenon_H267). % 0.88/1.12 exact (zenon_H26d zenon_H268). % 0.88/1.12 (* end of lemma zenon_L408_ *) % 0.88/1.12 assert (zenon_L409_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (c3_1 (a1211)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.12 do 0 intro. intros zenon_H107 zenon_H1e8 zenon_H267 zenon_H268 zenon_H266 zenon_H294 zenon_H295 zenon_H296 zenon_H43 zenon_H45 zenon_H5b zenon_H74 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.12 apply (zenon_L65_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.12 apply (zenon_L408_); trivial. % 0.88/1.12 apply (zenon_L172_); trivial. % 0.88/1.12 (* end of lemma zenon_L409_ *) % 0.88/1.12 assert (zenon_L410_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(c3_1 (a1178))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H92 zenon_H266 zenon_H268 zenon_H267 zenon_H74 zenon_Hf3 zenon_Hef zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_H1cf zenon_H5 zenon_Hb0 zenon_Haf zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.12 apply (zenon_L376_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.12 apply (zenon_L311_); trivial. % 0.88/1.12 apply (zenon_L409_); trivial. % 0.88/1.12 (* end of lemma zenon_L410_ *) % 0.88/1.12 assert (zenon_L411_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_Hcd zenon_H1cf zenon_H74 zenon_H92 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H5 zenon_Hab zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H12e zenon_H12b zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H136. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.12 apply (zenon_L407_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.12 apply (zenon_L410_); trivial. % 0.88/1.12 apply (zenon_L233_); trivial. % 0.88/1.12 (* end of lemma zenon_L411_ *) % 0.88/1.12 assert (zenon_L412_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (~(hskp11)) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> False). % 0.88/1.12 do 0 intro. intros zenon_H133 zenon_H21a zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H12b zenon_H1f0 zenon_H1f2 zenon_H12e zenon_H266 zenon_H267 zenon_H268. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.12 apply (zenon_L50_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.12 apply (zenon_L177_); trivial. % 0.88/1.12 apply (zenon_L232_); trivial. % 0.88/1.12 (* end of lemma zenon_L412_ *) % 0.88/1.12 assert (zenon_L413_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_Hdd zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hda zenon_Hd8 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.12 apply (zenon_L390_); trivial. % 0.88/1.12 apply (zenon_L412_); trivial. % 0.88/1.12 (* end of lemma zenon_L413_ *) % 0.88/1.12 assert (zenon_L414_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_Hdc zenon_Hda zenon_Hd8 zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H92 zenon_H74 zenon_H1cf zenon_Hcd. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.12 apply (zenon_L411_); trivial. % 0.88/1.12 apply (zenon_L413_); trivial. % 0.88/1.12 (* end of lemma zenon_L414_ *) % 0.88/1.12 assert (zenon_L415_ : ((ndr1_0)/\((c1_1 (a1178))/\((c2_1 (a1178))/\(~(c3_1 (a1178)))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H2bd zenon_H1cb zenon_Hdc zenon_Hda zenon_Hd8 zenon_H136 zenon_H21a zenon_H12e zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H92 zenon_H74 zenon_H1cf zenon_Hcd zenon_H21 zenon_H8f zenon_H1 zenon_H1e zenon_H238 zenon_H141 zenon_H58 zenon_H143 zenon_Hc4 zenon_H248 zenon_He3 zenon_H174 zenon_H15a. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.12 apply (zenon_L414_); trivial. % 0.88/1.12 apply (zenon_L253_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.12 apply (zenon_L414_); trivial. % 0.88/1.12 apply (zenon_L406_); trivial. % 0.88/1.12 (* end of lemma zenon_L415_ *) % 0.88/1.12 assert (zenon_L416_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp9)\/(hskp25))) -> (~(hskp9)) -> (c1_1 (a1192)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (ndr1_0) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> False). % 0.88/1.12 do 0 intro. intros zenon_Hcd zenon_H95 zenon_Hc7 zenon_H8f zenon_H8d zenon_Hc4 zenon_Hc8 zenon_H92 zenon_H80 zenon_H74 zenon_H54 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1cf zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H111 zenon_H10d zenon_H3c zenon_H3b zenon_H3a zenon_H17a zenon_Hf9 zenon_H12b zenon_H12e zenon_H132 zenon_H136 zenon_H12 zenon_H15b zenon_H15c zenon_H15d zenon_H5 zenon_Hab. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.12 apply (zenon_L131_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.12 apply (zenon_L377_); trivial. % 0.88/1.12 apply (zenon_L324_); trivial. % 0.88/1.12 apply (zenon_L404_); trivial. % 0.88/1.12 (* end of lemma zenon_L416_ *) % 0.88/1.12 assert (zenon_L417_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp9)\/(hskp25))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H97 zenon_Hdc zenon_H248 zenon_Hfb zenon_H1af zenon_H238 zenon_H1 zenon_H1ad zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H136 zenon_H132 zenon_H12e zenon_H12b zenon_Hf9 zenon_H17a zenon_H10d zenon_H111 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H1cf zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H54 zenon_H74 zenon_H80 zenon_H92 zenon_Hc8 zenon_Hc4 zenon_H8d zenon_H8f zenon_Hc7 zenon_H95 zenon_Hcd. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.12 apply (zenon_L416_); trivial. % 0.88/1.12 apply (zenon_L381_); trivial. % 0.88/1.12 (* end of lemma zenon_L417_ *) % 0.88/1.12 assert (zenon_L418_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c3_1 (a1202)) -> (c1_1 (a1202)) -> (~(c0_1 (a1202))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1176))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.88/1.12 do 0 intro. intros zenon_H8f zenon_H86 zenon_H85 zenon_H84 zenon_H166 zenon_H167 zenon_H165 zenon_H20b zenon_H12 zenon_H8d. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.12 apply (zenon_L32_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.12 apply (zenon_L270_); trivial. % 0.88/1.12 exact (zenon_H8d zenon_H8e). % 0.88/1.12 (* end of lemma zenon_L418_ *) % 0.88/1.12 assert (zenon_L419_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1176))) -> (~(hskp12)) -> False). % 0.88/1.12 do 0 intro. intros zenon_H91 zenon_H21a zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H288 zenon_H1f2 zenon_H1f0 zenon_H8f zenon_H166 zenon_H167 zenon_H165 zenon_H8d. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.12 apply (zenon_L50_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.12 apply (zenon_L167_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.12 apply (zenon_L271_); trivial. % 0.88/1.12 exact (zenon_H8d zenon_H8e). % 0.88/1.12 apply (zenon_L418_); trivial. % 0.88/1.12 (* end of lemma zenon_L419_ *) % 0.88/1.12 assert (zenon_L420_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(c3_1 (a1176))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_Hdd zenon_H21 zenon_H1e zenon_H136 zenon_H92 zenon_H80 zenon_H74 zenon_H166 zenon_H167 zenon_H54 zenon_H165 zenon_H21a zenon_H138 zenon_H139 zenon_H13a zenon_H141 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1 zenon_H1ad zenon_H10c zenon_H8f zenon_H8d zenon_H288 zenon_H1f2 zenon_H1f0 zenon_H95. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.12 apply (zenon_L340_); trivial. % 0.88/1.12 apply (zenon_L419_); trivial. % 0.88/1.12 apply (zenon_L11_); trivial. % 0.88/1.12 (* end of lemma zenon_L420_ *) % 0.88/1.12 assert (zenon_L421_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(c3_1 (a1176))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_Hdc zenon_H136 zenon_H92 zenon_H80 zenon_H74 zenon_H166 zenon_H167 zenon_H54 zenon_H165 zenon_H21a zenon_H141 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1ad zenon_H10c zenon_H8f zenon_H8d zenon_H288 zenon_H95 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H12 zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H138 zenon_H139 zenon_H13a zenon_H143 zenon_H1 zenon_H1e zenon_H21 zenon_Hcd. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.12 apply (zenon_L405_); trivial. % 0.88/1.12 apply (zenon_L420_); trivial. % 0.88/1.12 (* end of lemma zenon_L421_ *) % 0.88/1.12 assert (zenon_L422_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1176))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H145 zenon_H174 zenon_He3 zenon_Hcd zenon_H21 zenon_H1e zenon_H1 zenon_H143 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H15b zenon_H15c zenon_H15d zenon_Hab zenon_H95 zenon_H288 zenon_H8f zenon_H10c zenon_H1ad zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H141 zenon_H21a zenon_H165 zenon_H54 zenon_H167 zenon_H166 zenon_H74 zenon_H80 zenon_H92 zenon_H136 zenon_Hdc. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.12 apply (zenon_L421_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.12 apply (zenon_L405_); trivial. % 0.88/1.12 apply (zenon_L274_); trivial. % 0.88/1.12 (* end of lemma zenon_L422_ *) % 0.88/1.12 assert (zenon_L423_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (c3_1 (a1181)) -> (c0_1 (a1181)) -> (~(c2_1 (a1181))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c1_1 (a1195))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H136 zenon_H1af zenon_H12b zenon_H166 zenon_H167 zenon_H149 zenon_H14a zenon_H148 zenon_Hf9 zenon_Hfb zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Haf zenon_Hb0 zenon_H5 zenon_H1cf zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_Hae zenon_H52 zenon_H54 zenon_H74 zenon_H80 zenon_H92. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.12 apply (zenon_L377_); trivial. % 0.88/1.12 apply (zenon_L349_); trivial. % 0.88/1.12 (* end of lemma zenon_L423_ *) % 0.88/1.12 assert (zenon_L424_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61)))))) -> (ndr1_0) -> (c0_1 (a1181)) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (c3_1 (a1181)) -> False). % 0.88/1.12 do 0 intro. intros zenon_Hb9 zenon_H12 zenon_H14a zenon_H5a zenon_H149. % 0.88/1.12 generalize (zenon_Hb9 (a1181)). zenon_intro zenon_H2c0. % 0.88/1.12 apply (zenon_imply_s _ _ zenon_H2c0); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c1 ]. % 0.88/1.12 exact (zenon_H11 zenon_H12). % 0.88/1.12 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H155 | zenon_intro zenon_H151 ]. % 0.88/1.12 exact (zenon_H155 zenon_H14a). % 0.88/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H154 | zenon_intro zenon_H153 ]. % 0.88/1.12 apply (zenon_L326_); trivial. % 0.88/1.12 exact (zenon_H153 zenon_H149). % 0.88/1.12 (* end of lemma zenon_L424_ *) % 0.88/1.12 assert (zenon_L425_ : ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c3_1 (a1181)) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (c0_1 (a1181)) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (ndr1_0) -> False). % 0.88/1.12 do 0 intro. intros zenon_Hc4 zenon_H149 zenon_H5a zenon_H14a zenon_H16 zenon_H15 zenon_H14 zenon_H12. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H13 | zenon_intro zenon_Hb9 ]. % 0.88/1.12 apply (zenon_L10_); trivial. % 0.88/1.12 apply (zenon_L424_); trivial. % 0.88/1.12 (* end of lemma zenon_L425_ *) % 0.88/1.12 assert (zenon_L426_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1176))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c3_1 (a1181)) -> (c0_1 (a1181)) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (ndr1_0) -> False). % 0.88/1.12 do 0 intro. intros zenon_He3 zenon_H9d zenon_H9c zenon_H9b zenon_H166 zenon_H167 zenon_H165 zenon_H20b zenon_Hc4 zenon_H149 zenon_H14a zenon_H16 zenon_H15 zenon_H14 zenon_H12. % 0.88/1.12 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He0 | zenon_intro zenon_He4 ]. % 0.88/1.12 apply (zenon_L54_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H44 | zenon_intro zenon_H5a ]. % 0.88/1.12 apply (zenon_L270_); trivial. % 0.88/1.12 apply (zenon_L425_); trivial. % 0.88/1.12 (* end of lemma zenon_L426_ *) % 0.88/1.12 assert (zenon_L427_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c3_1 (a1181)) -> (c0_1 (a1181)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_Hdd zenon_H21 zenon_Hc4 zenon_H149 zenon_H14a zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_He3 zenon_H1f0 zenon_H1f2 zenon_H165 zenon_H166 zenon_H167 zenon_H288 zenon_H9d zenon_H9c zenon_H9b zenon_H21a zenon_H92. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.12 apply (zenon_L273_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.12 apply (zenon_L50_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He0 | zenon_intro zenon_He4 ]. % 0.88/1.12 apply (zenon_L54_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H44 | zenon_intro zenon_H5a ]. % 0.88/1.12 apply (zenon_L271_); trivial. % 0.88/1.12 apply (zenon_L425_); trivial. % 0.88/1.12 apply (zenon_L426_); trivial. % 0.88/1.12 (* end of lemma zenon_L427_ *) % 0.88/1.12 assert (zenon_L428_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c3_1 (a1181)) -> (c0_1 (a1181)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H175 zenon_Hdc zenon_Hc4 zenon_H149 zenon_H14a zenon_H141 zenon_He3 zenon_H165 zenon_H166 zenon_H167 zenon_H288 zenon_H21a zenon_H92 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H138 zenon_H139 zenon_H13a zenon_H143 zenon_H1 zenon_H1e zenon_H21 zenon_Hcd. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.12 apply (zenon_L405_); trivial. % 0.88/1.12 apply (zenon_L427_); trivial. % 0.88/1.12 (* end of lemma zenon_L428_ *) % 0.88/1.12 assert (zenon_L429_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c3_1 (a1181)) -> (c0_1 (a1181)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1176))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H145 zenon_H174 zenon_Hc4 zenon_H149 zenon_H14a zenon_He3 zenon_Hcd zenon_H21 zenon_H1e zenon_H1 zenon_H143 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H15b zenon_H15c zenon_H15d zenon_Hab zenon_H95 zenon_H288 zenon_H8f zenon_H10c zenon_H1ad zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H141 zenon_H21a zenon_H165 zenon_H54 zenon_H167 zenon_H166 zenon_H74 zenon_H80 zenon_H92 zenon_H136 zenon_Hdc. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.12 apply (zenon_L421_); trivial. % 0.88/1.12 apply (zenon_L428_); trivial. % 0.88/1.12 (* end of lemma zenon_L429_ *) % 0.88/1.12 assert (zenon_L430_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_Hca zenon_H95 zenon_Hc7 zenon_H8f zenon_Hc4 zenon_H15b zenon_H15c zenon_H15d zenon_Hc8 zenon_H92 zenon_H80 zenon_H74 zenon_H54 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1cf zenon_H5 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H12e zenon_H12b zenon_H8d zenon_H238 zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_Hfb zenon_H248 zenon_H136. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.12 apply (zenon_L394_); trivial. % 0.88/1.12 apply (zenon_L404_); trivial. % 0.88/1.12 (* end of lemma zenon_L430_ *) % 0.88/1.12 assert (zenon_L431_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (ndr1_0) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> False). % 0.88/1.12 do 0 intro. intros zenon_Hcd zenon_H95 zenon_Hc7 zenon_H8f zenon_Hc4 zenon_Hc8 zenon_H92 zenon_H80 zenon_H74 zenon_H54 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1cf zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H12e zenon_H12b zenon_H8d zenon_H238 zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_Hfb zenon_H248 zenon_H136 zenon_H12 zenon_H15b zenon_H15c zenon_H15d zenon_H5 zenon_Hab. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.12 apply (zenon_L131_); trivial. % 0.88/1.12 apply (zenon_L430_); trivial. % 0.88/1.12 (* end of lemma zenon_L431_ *) % 0.88/1.12 assert (zenon_L432_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_Hdc zenon_H165 zenon_H166 zenon_H167 zenon_H288 zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H92 zenon_H74 zenon_H1cf zenon_Hcd. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.12 apply (zenon_L411_); trivial. % 0.88/1.12 apply (zenon_L282_); trivial. % 0.88/1.12 (* end of lemma zenon_L432_ *) % 0.88/1.12 assert (zenon_L433_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp18)) -> False). % 0.88/1.12 do 0 intro. intros zenon_H192 zenon_He8 zenon_He7 zenon_He6 zenon_H39 zenon_H13a zenon_H139 zenon_H138 zenon_H54 zenon_H167 zenon_H166 zenon_H12 zenon_H50 zenon_H52. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H180 | zenon_intro zenon_H193 ]. % 0.88/1.12 apply (zenon_L396_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H137 | zenon_intro zenon_H6a ]. % 0.88/1.12 apply (zenon_L79_); trivial. % 0.88/1.12 apply (zenon_L336_); trivial. % 0.88/1.12 (* end of lemma zenon_L433_ *) % 0.88/1.12 assert (zenon_L434_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp18)) -> (~(hskp27)) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(hskp17)) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp7)) -> False). % 0.88/1.12 do 0 intro. intros zenon_H58 zenon_H52 zenon_H50 zenon_H166 zenon_H167 zenon_H54 zenon_He6 zenon_He7 zenon_He8 zenon_H192 zenon_H9 zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H43 zenon_H45 zenon_H143 zenon_H56. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.12 apply (zenon_L433_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.12 apply (zenon_L108_); trivial. % 0.88/1.12 exact (zenon_H56 zenon_H57). % 0.88/1.12 (* end of lemma zenon_L434_ *) % 0.88/1.12 assert (zenon_L435_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H92 zenon_H80 zenon_H74 zenon_H296 zenon_H295 zenon_H294 zenon_H192 zenon_H166 zenon_H167 zenon_H52 zenon_H54 zenon_He8 zenon_He7 zenon_He6 zenon_H143 zenon_H56 zenon_H58 zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H9 zenon_H141. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.12 apply (zenon_L80_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.12 apply (zenon_L434_); trivial. % 0.88/1.12 apply (zenon_L313_); trivial. % 0.88/1.12 (* end of lemma zenon_L435_ *) % 0.88/1.12 assert (zenon_L436_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> False). % 0.88/1.12 do 0 intro. intros zenon_H91 zenon_H288 zenon_H167 zenon_H166 zenon_H165 zenon_H266 zenon_H267 zenon_H268. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H83 | zenon_intro zenon_H289 ]. % 0.88/1.12 apply (zenon_L32_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H164 | zenon_intro zenon_H20b ]. % 0.88/1.12 apply (zenon_L93_); trivial. % 0.88/1.12 apply (zenon_L232_); trivial. % 0.88/1.12 (* end of lemma zenon_L436_ *) % 0.88/1.12 assert (zenon_L437_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp18)) -> (~(hskp27)) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.88/1.12 do 0 intro. intros zenon_H58 zenon_H52 zenon_H50 zenon_H166 zenon_H167 zenon_H54 zenon_H138 zenon_H139 zenon_H13a zenon_He6 zenon_He7 zenon_He8 zenon_H192 zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_H56. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.12 apply (zenon_L433_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.12 apply (zenon_L10_); trivial. % 0.88/1.12 exact (zenon_H56 zenon_H57). % 0.88/1.12 (* end of lemma zenon_L437_ *) % 0.88/1.12 assert (zenon_L438_ : ((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (~(hskp7)) -> False). % 0.88/1.12 do 0 intro. intros zenon_H76 zenon_H58 zenon_H138 zenon_H139 zenon_H13a zenon_He6 zenon_He7 zenon_He8 zenon_H192 zenon_H16 zenon_H15 zenon_H14 zenon_H56. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H12. zenon_intro zenon_H78. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H6b. zenon_intro zenon_H79. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H6c. zenon_intro zenon_H6d. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H180 | zenon_intro zenon_H193 ]. % 0.88/1.12 apply (zenon_L396_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H137 | zenon_intro zenon_H6a ]. % 0.88/1.12 apply (zenon_L79_); trivial. % 0.88/1.12 apply (zenon_L28_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.12 apply (zenon_L10_); trivial. % 0.88/1.12 exact (zenon_H56 zenon_H57). % 0.88/1.12 (* end of lemma zenon_L438_ *) % 0.88/1.12 assert (zenon_L439_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (ndr1_0) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H80 zenon_H192 zenon_H166 zenon_H167 zenon_H52 zenon_H54 zenon_H13a zenon_H139 zenon_H138 zenon_He8 zenon_He7 zenon_He6 zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_H56 zenon_H58. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.12 apply (zenon_L437_); trivial. % 0.88/1.12 apply (zenon_L438_); trivial. % 0.88/1.12 (* end of lemma zenon_L439_ *) % 0.88/1.12 assert (zenon_L440_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(c3_1 (a1176))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H1d zenon_H95 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H165 zenon_H58 zenon_H56 zenon_He6 zenon_He7 zenon_He8 zenon_H138 zenon_H139 zenon_H13a zenon_H54 zenon_H167 zenon_H166 zenon_H192 zenon_H80. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.12 apply (zenon_L439_); trivial. % 0.88/1.12 apply (zenon_L436_); trivial. % 0.88/1.12 (* end of lemma zenon_L440_ *) % 0.88/1.12 assert (zenon_L441_ : ((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H170 zenon_H15a zenon_H21 zenon_H80 zenon_H192 zenon_H54 zenon_H143 zenon_H56 zenon_H58 zenon_H141 zenon_H95 zenon_Hcd zenon_H1cf zenon_H74 zenon_H92 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Hab zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H12e zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H136 zenon_H288 zenon_H167 zenon_H166 zenon_H165 zenon_Hdc. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.12 apply (zenon_L432_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.12 apply (zenon_L435_); trivial. % 0.88/1.12 apply (zenon_L436_); trivial. % 0.88/1.12 apply (zenon_L440_); trivial. % 0.88/1.12 (* end of lemma zenon_L441_ *) % 0.88/1.12 assert (zenon_L442_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((hskp28)\/(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp0))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H173 zenon_H80 zenon_H192 zenon_H54 zenon_H95 zenon_H15a zenon_H96 zenon_H21 zenon_H141 zenon_H58 zenon_H56 zenon_H143 zenon_H24 zenon_H1ea zenon_H38 zenon_Hcd zenon_H1cf zenon_H74 zenon_H92 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Hab zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H12e zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H136 zenon_H288 zenon_H167 zenon_H166 zenon_H165 zenon_Hdc zenon_H1 zenon_H1cd zenon_H1cc. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.12 apply (zenon_L432_); trivial. % 0.88/1.12 apply (zenon_L183_); trivial. % 0.88/1.12 apply (zenon_L130_); trivial. % 0.88/1.12 apply (zenon_L441_); trivial. % 0.88/1.12 (* end of lemma zenon_L442_ *) % 0.88/1.12 assert (zenon_L443_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H145 zenon_Hdc zenon_H21a zenon_H165 zenon_H166 zenon_H167 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H143 zenon_H1 zenon_H1e zenon_H21 zenon_Hcd. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.12 apply (zenon_L405_); trivial. % 0.88/1.12 apply (zenon_L282_); trivial. % 0.88/1.12 (* end of lemma zenon_L443_ *) % 0.88/1.12 assert (zenon_L444_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H136 zenon_H1af zenon_H12b zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hab zenon_Ha9 zenon_H5 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.12 apply (zenon_L371_); trivial. % 0.88/1.12 apply (zenon_L119_); trivial. % 0.88/1.12 (* end of lemma zenon_L444_ *) % 0.88/1.12 assert (zenon_L445_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c1_1 (a1195))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H136 zenon_H1af zenon_H12b zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Haf zenon_Hb0 zenon_H5 zenon_H1cf zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_Hae zenon_H52 zenon_H54 zenon_H74 zenon_H80 zenon_H92. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.12 apply (zenon_L377_); trivial. % 0.88/1.12 apply (zenon_L119_); trivial. % 0.88/1.12 (* end of lemma zenon_L445_ *) % 0.88/1.12 assert (zenon_L446_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H175 zenon_Hdc zenon_H1 zenon_H1ad zenon_H136 zenon_H1af zenon_H12b zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H92 zenon_He3 zenon_H1cf zenon_Hcd. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.12 apply (zenon_L444_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.12 apply (zenon_L376_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.12 apply (zenon_L311_); trivial. % 0.88/1.12 apply (zenon_L243_); trivial. % 0.88/1.12 apply (zenon_L119_); trivial. % 0.88/1.12 apply (zenon_L355_); trivial. % 0.88/1.12 (* end of lemma zenon_L446_ *) % 0.88/1.12 assert (zenon_L447_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H15a zenon_H21 zenon_H141 zenon_H143 zenon_H96 zenon_Hdc zenon_H1 zenon_H1ad zenon_H136 zenon_H1af zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H1cf zenon_H54 zenon_H74 zenon_H80 zenon_H92 zenon_H58 zenon_H56 zenon_H8f zenon_H95 zenon_Hcd zenon_H24 zenon_H22 zenon_H1a9 zenon_H1ea zenon_H38 zenon_He3 zenon_H174. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.12 apply (zenon_L163_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.12 apply (zenon_L444_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.12 apply (zenon_L445_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.12 apply (zenon_L379_); trivial. % 0.88/1.12 apply (zenon_L119_); trivial. % 0.88/1.12 apply (zenon_L355_); trivial. % 0.88/1.12 apply (zenon_L446_); trivial. % 0.88/1.12 apply (zenon_L183_); trivial. % 0.88/1.12 (* end of lemma zenon_L447_ *) % 0.88/1.12 assert (zenon_L448_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_Hdd zenon_H136 zenon_H1af zenon_H12b zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hda zenon_Hd8 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.12 apply (zenon_L390_); trivial. % 0.88/1.12 apply (zenon_L119_); trivial. % 0.88/1.12 (* end of lemma zenon_L448_ *) % 0.88/1.12 assert (zenon_L449_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H174 zenon_He3 zenon_Hcd zenon_H95 zenon_H12e zenon_H8f zenon_H58 zenon_H56 zenon_He8 zenon_He7 zenon_He6 zenon_H92 zenon_H80 zenon_H74 zenon_H54 zenon_H1cf zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Hab zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H12b zenon_H1af zenon_H136 zenon_H1ad zenon_H1 zenon_Hdc. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.12 apply (zenon_L444_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.12 apply (zenon_L445_); trivial. % 0.88/1.12 apply (zenon_L398_); trivial. % 0.88/1.12 apply (zenon_L355_); trivial. % 0.88/1.12 apply (zenon_L446_); trivial. % 0.88/1.12 (* end of lemma zenon_L449_ *) % 0.88/1.12 assert (zenon_L450_ : ((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H170 zenon_H15a zenon_Hd8 zenon_Hda zenon_H248 zenon_H21a zenon_Hc4 zenon_H143 zenon_H141 zenon_H238 zenon_H1e zenon_H21 zenon_Hdc zenon_H1 zenon_H1ad zenon_H136 zenon_H1af zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H1cf zenon_H54 zenon_H74 zenon_H80 zenon_H92 zenon_H56 zenon_H58 zenon_H8f zenon_H12e zenon_H95 zenon_Hcd zenon_He3 zenon_H174. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.12 apply (zenon_L449_); trivial. % 0.88/1.12 apply (zenon_L224_); trivial. % 0.88/1.12 (* end of lemma zenon_L450_ *) % 0.88/1.12 assert (zenon_L451_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_Hca zenon_H95 zenon_Hc7 zenon_H8f zenon_H8d zenon_Hc4 zenon_H15b zenon_H15c zenon_H15d zenon_Hc8 zenon_H92 zenon_H80 zenon_H74 zenon_H54 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1cf zenon_H5 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H12b zenon_H1af zenon_H136. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.12 apply (zenon_L445_); trivial. % 0.88/1.12 apply (zenon_L404_); trivial. % 0.88/1.12 (* end of lemma zenon_L451_ *) % 0.88/1.12 assert (zenon_L452_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (ndr1_0) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H174 zenon_He3 zenon_Hcd zenon_H95 zenon_Hc7 zenon_H8f zenon_Hc4 zenon_Hc8 zenon_H92 zenon_H80 zenon_H74 zenon_H54 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1cf zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H12b zenon_H1af zenon_H136 zenon_H12 zenon_H15b zenon_H15c zenon_H15d zenon_Hab zenon_H1ad zenon_H1 zenon_Hdc. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.12 apply (zenon_L131_); trivial. % 0.88/1.12 apply (zenon_L451_); trivial. % 0.88/1.12 apply (zenon_L355_); trivial. % 0.88/1.12 apply (zenon_L446_); trivial. % 0.88/1.12 (* end of lemma zenon_L452_ *) % 0.88/1.12 assert (zenon_L453_ : ((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/(hskp0))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H1c8 zenon_H15a zenon_Hda zenon_Hd8 zenon_H143 zenon_H1e zenon_H21 zenon_Hdc zenon_H1 zenon_H1ad zenon_Hab zenon_H136 zenon_H1af zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H1cf zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H54 zenon_H74 zenon_H80 zenon_H92 zenon_Hc8 zenon_Hc4 zenon_H8f zenon_Hc7 zenon_H95 zenon_Hcd zenon_He3 zenon_H174. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.12 apply (zenon_L452_); trivial. % 0.88/1.12 apply (zenon_L406_); trivial. % 0.88/1.12 (* end of lemma zenon_L453_ *) % 0.88/1.12 assert (zenon_L454_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H21 zenon_H248 zenon_H58 zenon_H56 zenon_H24 zenon_H22 zenon_H238 zenon_H8d zenon_Hc4 zenon_H38 zenon_Hb zenon_Hd zenon_Hf. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.12 apply (zenon_L8_); trivial. % 0.88/1.12 apply (zenon_L297_); trivial. % 0.88/1.12 (* end of lemma zenon_L454_ *) % 0.88/1.12 assert (zenon_L455_ : (forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> False). % 0.88/1.12 do 0 intro. intros zenon_H1d6 zenon_H12 zenon_H2c2 zenon_H2c3 zenon_H2c4. % 0.88/1.12 generalize (zenon_H1d6 (a1168)). zenon_intro zenon_H2c5. % 0.88/1.12 apply (zenon_imply_s _ _ zenon_H2c5); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c6 ]. % 0.88/1.12 exact (zenon_H11 zenon_H12). % 0.88/1.12 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2c7 ]. % 0.88/1.12 exact (zenon_H2c2 zenon_H2c8). % 0.88/1.12 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2c9 ]. % 0.88/1.12 exact (zenon_H2ca zenon_H2c3). % 0.88/1.12 exact (zenon_H2c9 zenon_H2c4). % 0.88/1.12 (* end of lemma zenon_L455_ *) % 0.88/1.12 assert (zenon_L456_ : ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))) -> (c3_1 (a1211)) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> False). % 0.88/1.12 do 0 intro. intros zenon_H2cb zenon_H44 zenon_H5b zenon_H45 zenon_H43 zenon_H12 zenon_H2c2 zenon_H2c3 zenon_H2c4. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H13 | zenon_intro zenon_H2cc ]. % 0.88/1.12 apply (zenon_L20_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H5a | zenon_intro zenon_H1d6 ]. % 0.88/1.12 apply (zenon_L26_); trivial. % 0.88/1.12 apply (zenon_L455_); trivial. % 0.88/1.12 (* end of lemma zenon_L456_ *) % 0.88/1.12 assert (zenon_L457_ : ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (ndr1_0) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (c3_1 (a1211)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp27)) -> (~(hskp18)) -> False). % 0.88/1.12 do 0 intro. intros zenon_H54 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H12 zenon_H43 zenon_H45 zenon_H5b zenon_H2cb zenon_H50 zenon_H52. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H44 | zenon_intro zenon_H55 ]. % 0.88/1.12 apply (zenon_L456_); trivial. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H51 | zenon_intro zenon_H53 ]. % 0.88/1.12 exact (zenon_H50 zenon_H51). % 0.88/1.12 exact (zenon_H52 zenon_H53). % 0.88/1.12 (* end of lemma zenon_L457_ *) % 0.88/1.12 assert (zenon_L458_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> False). % 0.88/1.12 do 0 intro. intros zenon_H174 zenon_H224 zenon_H222 zenon_Hf9 zenon_H21 zenon_H248 zenon_H58 zenon_H56 zenon_H24 zenon_H22 zenon_H238 zenon_Hc4 zenon_H38 zenon_Hd zenon_Hf zenon_H92 zenon_H80 zenon_H74 zenon_H3 zenon_H77 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H54 zenon_H34 zenon_H8f zenon_H95 zenon_H96. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.12 apply (zenon_L454_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.12 apply (zenon_L18_); trivial. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.12 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.12 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.12 apply (zenon_L457_); trivial. % 0.88/1.12 apply (zenon_L30_); trivial. % 0.88/1.12 apply (zenon_L36_); trivial. % 0.88/1.13 apply (zenon_L182_); trivial. % 0.88/1.13 (* end of lemma zenon_L458_ *) % 0.88/1.13 assert (zenon_L459_ : (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33)))))) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> (c3_1 (a1168)) -> False). % 0.88/1.13 do 0 intro. intros zenon_Hf4 zenon_H12 zenon_H2c2 zenon_H2c4 zenon_H2cd. % 0.88/1.13 generalize (zenon_Hf4 (a1168)). zenon_intro zenon_H2ce. % 0.88/1.13 apply (zenon_imply_s _ _ zenon_H2ce); [ zenon_intro zenon_H11 | zenon_intro zenon_H2cf ]. % 0.88/1.13 exact (zenon_H11 zenon_H12). % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2d0 ]. % 0.88/1.13 exact (zenon_H2c2 zenon_H2c8). % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2c9 | zenon_intro zenon_H2d1 ]. % 0.88/1.13 exact (zenon_H2c9 zenon_H2c4). % 0.88/1.13 exact (zenon_H2d1 zenon_H2cd). % 0.88/1.13 (* end of lemma zenon_L459_ *) % 0.88/1.13 assert (zenon_L460_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp23)) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp3)) -> False). % 0.88/1.13 do 0 intro. intros zenon_Hfb zenon_He8 zenon_He7 zenon_He6 zenon_Hf1 zenon_Hef zenon_H12 zenon_H2c2 zenon_H2c4 zenon_Hf3 zenon_Hf9. % 0.88/1.13 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 0.88/1.13 apply (zenon_L59_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 0.88/1.13 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf5 ]. % 0.88/1.13 generalize (zenon_H60 (a1168)). zenon_intro zenon_H2d2. % 0.88/1.13 apply (zenon_imply_s _ _ zenon_H2d2); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d3 ]. % 0.88/1.13 exact (zenon_H11 zenon_H12). % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2d4 ]. % 0.88/1.13 exact (zenon_H2c2 zenon_H2c8). % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2c9 ]. % 0.88/1.13 apply (zenon_L459_); trivial. % 0.88/1.13 exact (zenon_H2c9 zenon_H2c4). % 0.88/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf2 ]. % 0.88/1.13 exact (zenon_Hef zenon_Hf0). % 0.88/1.13 exact (zenon_Hf1 zenon_Hf2). % 0.88/1.13 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.13 (* end of lemma zenon_L460_ *) % 0.88/1.13 assert (zenon_L461_ : (forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33)))))) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H19f zenon_H12 zenon_Hf4 zenon_H2c2 zenon_H2c4 zenon_H2c3. % 0.88/1.13 generalize (zenon_H19f (a1168)). zenon_intro zenon_H2d5. % 0.88/1.13 apply (zenon_imply_s _ _ zenon_H2d5); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d6 ]. % 0.88/1.13 exact (zenon_H11 zenon_H12). % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2c7 ]. % 0.88/1.13 apply (zenon_L459_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2c9 ]. % 0.88/1.13 exact (zenon_H2ca zenon_H2c3). % 0.88/1.13 exact (zenon_H2c9 zenon_H2c4). % 0.88/1.13 (* end of lemma zenon_L461_ *) % 0.88/1.13 assert (zenon_L462_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33)))))) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H1d9 zenon_H2c3 zenon_H2c4 zenon_H2c2 zenon_Hf4 zenon_H12 zenon_H10f. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1da ]. % 0.88/1.13 apply (zenon_L455_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H19f | zenon_intro zenon_H110 ]. % 0.88/1.13 apply (zenon_L461_); trivial. % 0.88/1.13 exact (zenon_H10f zenon_H110). % 0.88/1.13 (* end of lemma zenon_L462_ *) % 0.88/1.13 assert (zenon_L463_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp25)) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(hskp3)) -> False). % 0.88/1.13 do 0 intro. intros zenon_Hfb zenon_He8 zenon_He7 zenon_He6 zenon_H10f zenon_H12 zenon_H2c2 zenon_H2c4 zenon_H2c3 zenon_H1d9 zenon_Hf9. % 0.88/1.13 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 0.88/1.13 apply (zenon_L59_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 0.88/1.13 apply (zenon_L462_); trivial. % 0.88/1.13 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.13 (* end of lemma zenon_L463_ *) % 0.88/1.13 assert (zenon_L464_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(c3_1 (a1218))) -> (~(c0_1 (a1218))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c1_1 (a1218))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H2d7 zenon_H100 zenon_Hfe zenon_H180 zenon_Hff zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H12 zenon_H222. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H9a | zenon_intro zenon_H2d8 ]. % 0.88/1.13 apply (zenon_L228_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H223 ]. % 0.88/1.13 apply (zenon_L455_); trivial. % 0.88/1.13 exact (zenon_H222 zenon_H223). % 0.88/1.13 (* end of lemma zenon_L464_ *) % 0.88/1.13 assert (zenon_L465_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp6)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c1_1 (a1218))) -> (~(c0_1 (a1218))) -> (~(c3_1 (a1218))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp22)) -> (~(hskp2)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H12d zenon_H1e8 zenon_H222 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hff zenon_Hfe zenon_H100 zenon_H2d7 zenon_H34 zenon_H31 zenon_Hd. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.13 apply (zenon_L65_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.13 apply (zenon_L464_); trivial. % 0.88/1.13 apply (zenon_L147_); trivial. % 0.88/1.13 (* end of lemma zenon_L465_ *) % 0.88/1.13 assert (zenon_L466_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H107 zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_He6 zenon_He7 zenon_He8 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.13 apply (zenon_L463_); trivial. % 0.88/1.13 apply (zenon_L465_); trivial. % 0.88/1.13 (* end of lemma zenon_L466_ *) % 0.88/1.13 assert (zenon_L467_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (ndr1_0) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H1d9 zenon_H2c3 zenon_H12 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.13 apply (zenon_L460_); trivial. % 0.88/1.13 apply (zenon_L466_); trivial. % 0.88/1.13 (* end of lemma zenon_L467_ *) % 0.88/1.13 assert (zenon_L468_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61)))))) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (c1_1 (a1182)) -> (c3_1 (a1182)) -> False). % 0.88/1.13 do 0 intro. intros zenon_Hb9 zenon_H12 zenon_H83 zenon_H115 zenon_H114. % 0.88/1.13 generalize (zenon_Hb9 (a1182)). zenon_intro zenon_H2d9. % 0.88/1.13 apply (zenon_imply_s _ _ zenon_H2d9); [ zenon_intro zenon_H11 | zenon_intro zenon_H2da ]. % 0.88/1.13 exact (zenon_H11 zenon_H12). % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H11d | zenon_intro zenon_H118 ]. % 0.88/1.13 generalize (zenon_H83 (a1182)). zenon_intro zenon_H116. % 0.88/1.13 apply (zenon_imply_s _ _ zenon_H116); [ zenon_intro zenon_H11 | zenon_intro zenon_H117 ]. % 0.88/1.13 exact (zenon_H11 zenon_H12). % 0.88/1.13 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H119 | zenon_intro zenon_H118 ]. % 0.88/1.13 exact (zenon_H11d zenon_H119). % 0.88/1.13 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H120 | zenon_intro zenon_H11e ]. % 0.88/1.13 exact (zenon_H120 zenon_H115). % 0.88/1.13 exact (zenon_H11e zenon_H114). % 0.88/1.13 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H120 | zenon_intro zenon_H11e ]. % 0.88/1.13 exact (zenon_H120 zenon_H115). % 0.88/1.13 exact (zenon_H11e zenon_H114). % 0.88/1.13 (* end of lemma zenon_L468_ *) % 0.88/1.13 assert (zenon_L469_ : ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c3_1 (a1182)) -> (c1_1 (a1182)) -> (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (ndr1_0) -> False). % 0.88/1.13 do 0 intro. intros zenon_Hc4 zenon_H114 zenon_H115 zenon_H83 zenon_H16 zenon_H15 zenon_H14 zenon_H12. % 0.88/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H13 | zenon_intro zenon_Hb9 ]. % 0.88/1.13 apply (zenon_L10_); trivial. % 0.88/1.13 apply (zenon_L468_); trivial. % 0.88/1.13 (* end of lemma zenon_L469_ *) % 0.88/1.13 assert (zenon_L470_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (c3_1 (a1211)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H12d zenon_H8f zenon_H14 zenon_H15 zenon_H16 zenon_Hc4 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H43 zenon_H45 zenon_H5b zenon_H2cb zenon_H8d. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.13 apply (zenon_L469_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.13 apply (zenon_L456_); trivial. % 0.88/1.13 exact (zenon_H8d zenon_H8e). % 0.88/1.13 (* end of lemma zenon_L470_ *) % 0.88/1.13 assert (zenon_L471_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H7f zenon_H132 zenon_H8f zenon_H8d zenon_H2cb zenon_H14 zenon_H15 zenon_H16 zenon_Hc4 zenon_He6 zenon_He7 zenon_He8 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.13 apply (zenon_L463_); trivial. % 0.88/1.13 apply (zenon_L470_); trivial. % 0.88/1.13 (* end of lemma zenon_L471_ *) % 0.88/1.13 assert (zenon_L472_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (ndr1_0) -> (c0_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H92 zenon_H8f zenon_H8d zenon_H2cb zenon_H14 zenon_H15 zenon_H16 zenon_Hc4 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c4 zenon_Hef zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H12 zenon_H2c3 zenon_H1d9 zenon_H2d7 zenon_H222 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.13 apply (zenon_L467_); trivial. % 0.88/1.13 apply (zenon_L471_); trivial. % 0.88/1.13 (* end of lemma zenon_L472_ *) % 0.88/1.13 assert (zenon_L473_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1204)) -> (~(c2_1 (a1204))) -> (~(c1_1 (a1204))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (ndr1_0) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H132 zenon_H12e zenon_H12b zenon_H124 zenon_H123 zenon_H122 zenon_H31 zenon_Hd zenon_H34 zenon_H12 zenon_He6 zenon_He7 zenon_He8 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.13 apply (zenon_L463_); trivial. % 0.88/1.13 apply (zenon_L75_); trivial. % 0.88/1.13 (* end of lemma zenon_L473_ *) % 0.88/1.13 assert (zenon_L474_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H133 zenon_H92 zenon_H8f zenon_H8d zenon_H2cb zenon_H14 zenon_H15 zenon_H16 zenon_Hc4 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_He8 zenon_He7 zenon_He6 zenon_H34 zenon_Hd zenon_H12b zenon_H12e zenon_H132. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.13 apply (zenon_L473_); trivial. % 0.88/1.13 apply (zenon_L471_); trivial. % 0.88/1.13 (* end of lemma zenon_L474_ *) % 0.88/1.13 assert (zenon_L475_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H1d zenon_H136 zenon_H12b zenon_H12e zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H1d9 zenon_H2c3 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_Hc4 zenon_H2cb zenon_H8d zenon_H8f zenon_H92. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.13 apply (zenon_L472_); trivial. % 0.88/1.13 apply (zenon_L474_); trivial. % 0.88/1.13 (* end of lemma zenon_L475_ *) % 0.88/1.13 assert (zenon_L476_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (~(hskp3)) -> False). % 0.88/1.13 do 0 intro. intros zenon_Hfb zenon_He8 zenon_He7 zenon_He6 zenon_H2c3 zenon_H2c4 zenon_H2c2 zenon_H12 zenon_H19f zenon_Hf9. % 0.88/1.13 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 0.88/1.13 apply (zenon_L59_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 0.88/1.13 apply (zenon_L461_); trivial. % 0.88/1.13 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.13 (* end of lemma zenon_L476_ *) % 0.88/1.13 assert (zenon_L477_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp23)) -> (~(hskp19)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp10)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H1ab zenon_Hf1 zenon_Hef zenon_H3b zenon_H3a zenon_H3c zenon_Hf3 zenon_Hf9 zenon_H12 zenon_H2c2 zenon_H2c4 zenon_H2c3 zenon_He6 zenon_He7 zenon_He8 zenon_Hfb zenon_H1a9. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H61 | zenon_intro zenon_H1ac ]. % 0.88/1.13 apply (zenon_L114_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H19f | zenon_intro zenon_H1aa ]. % 0.88/1.13 apply (zenon_L476_); trivial. % 0.88/1.13 exact (zenon_H1a9 zenon_H1aa). % 0.88/1.13 (* end of lemma zenon_L477_ *) % 0.88/1.13 assert (zenon_L478_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1218))) -> (~(c1_1 (a1218))) -> (~(c0_1 (a1218))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp22)) -> (~(hskp2)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H12d zenon_H1e8 zenon_H100 zenon_Hff zenon_Hfe zenon_H183 zenon_H182 zenon_H181 zenon_H34 zenon_H31 zenon_Hd. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.13 apply (zenon_L65_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.13 apply (zenon_L104_); trivial. % 0.88/1.13 apply (zenon_L147_); trivial. % 0.88/1.13 (* end of lemma zenon_L478_ *) % 0.88/1.13 assert (zenon_L479_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H107 zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H183 zenon_H182 zenon_H181 zenon_He6 zenon_He7 zenon_He8 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.13 apply (zenon_L463_); trivial. % 0.88/1.13 apply (zenon_L478_); trivial. % 0.88/1.13 (* end of lemma zenon_L479_ *) % 0.88/1.13 assert (zenon_L480_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H183 zenon_H182 zenon_H181 zenon_H1d9 zenon_Hf3 zenon_Hef zenon_H3c zenon_H3a zenon_H3b zenon_H12 zenon_Hfb zenon_Hf9 zenon_H2c3 zenon_H2c4 zenon_H2c2 zenon_He8 zenon_He7 zenon_He6 zenon_H1a9 zenon_H1ab. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.13 apply (zenon_L477_); trivial. % 0.88/1.13 apply (zenon_L479_); trivial. % 0.88/1.13 (* end of lemma zenon_L480_ *) % 0.88/1.13 assert (zenon_L481_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H7f zenon_H80 zenon_H1ab zenon_H1a9 zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_Hfb zenon_H3b zenon_H3a zenon_H3c zenon_H74 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H52 zenon_H54. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.13 apply (zenon_L457_); trivial. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H12. zenon_intro zenon_H78. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H6b. zenon_intro zenon_H79. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H6c. zenon_intro zenon_H6d. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H61 | zenon_intro zenon_H1ac ]. % 0.88/1.13 apply (zenon_L29_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H19f | zenon_intro zenon_H1aa ]. % 0.88/1.13 apply (zenon_L476_); trivial. % 0.88/1.13 exact (zenon_H1a9 zenon_H1aa). % 0.88/1.13 (* end of lemma zenon_L481_ *) % 0.88/1.13 assert (zenon_L482_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H91 zenon_H136 zenon_H12e zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H183 zenon_H182 zenon_H181 zenon_H1d9 zenon_Hf3 zenon_H3c zenon_H3a zenon_H3b zenon_Hfb zenon_Hf9 zenon_H2c3 zenon_H2c4 zenon_H2c2 zenon_He8 zenon_He7 zenon_He6 zenon_H1a9 zenon_H1ab zenon_H8f zenon_H8d zenon_H56 zenon_H58 zenon_H92. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.13 apply (zenon_L480_); trivial. % 0.88/1.13 apply (zenon_L35_); trivial. % 0.88/1.13 apply (zenon_L77_); trivial. % 0.88/1.13 (* end of lemma zenon_L482_ *) % 0.88/1.13 assert (zenon_L483_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H97 zenon_H194 zenon_H95 zenon_H8f zenon_H8d zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_H1ab zenon_H1a9 zenon_He6 zenon_He7 zenon_He8 zenon_H2c2 zenon_H2c4 zenon_H2c3 zenon_Hf9 zenon_Hfb zenon_Hf3 zenon_H1d9 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H12b zenon_H136 zenon_H17c zenon_H3 zenon_H56 zenon_H58 zenon_H21. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.13 apply (zenon_L164_); trivial. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.13 apply (zenon_L480_); trivial. % 0.88/1.13 apply (zenon_L481_); trivial. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.13 apply (zenon_L473_); trivial. % 0.88/1.13 apply (zenon_L481_); trivial. % 0.88/1.13 apply (zenon_L482_); trivial. % 0.88/1.13 (* end of lemma zenon_L483_ *) % 0.88/1.13 assert (zenon_L484_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (c0_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H96 zenon_H194 zenon_H95 zenon_H80 zenon_H74 zenon_H54 zenon_H1ab zenon_H1a9 zenon_H17c zenon_H3 zenon_H56 zenon_H58 zenon_Hf zenon_Hd zenon_H92 zenon_H8f zenon_H8d zenon_H2cb zenon_Hc4 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c4 zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H2c3 zenon_H1d9 zenon_H2d7 zenon_H222 zenon_H34 zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H12b zenon_H136 zenon_H21. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.13 apply (zenon_L8_); trivial. % 0.88/1.13 apply (zenon_L475_); trivial. % 0.88/1.13 apply (zenon_L483_); trivial. % 0.88/1.13 (* end of lemma zenon_L484_ *) % 0.88/1.13 assert (zenon_L485_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (ndr1_0) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H183 zenon_H182 zenon_H181 zenon_H1d9 zenon_H2c3 zenon_H12 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.13 apply (zenon_L460_); trivial. % 0.88/1.13 apply (zenon_L479_); trivial. % 0.88/1.13 (* end of lemma zenon_L485_ *) % 0.88/1.13 assert (zenon_L486_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H7f zenon_He3 zenon_H9d zenon_H9c zenon_H9b zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2cb. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He0 | zenon_intro zenon_He4 ]. % 0.88/1.13 apply (zenon_L54_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H44 | zenon_intro zenon_H5a ]. % 0.88/1.13 apply (zenon_L456_); trivial. % 0.88/1.13 apply (zenon_L26_); trivial. % 0.88/1.13 (* end of lemma zenon_L486_ *) % 0.88/1.13 assert (zenon_L487_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (ndr1_0) -> (c0_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c0_1 (a1199))) -> (~(c3_1 (a1199))) -> (c2_1 (a1199)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H92 zenon_He3 zenon_H2cb zenon_H9d zenon_H9c zenon_H9b zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c4 zenon_Hef zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H12 zenon_H2c3 zenon_H1d9 zenon_H181 zenon_H182 zenon_H183 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.13 apply (zenon_L485_); trivial. % 0.88/1.13 apply (zenon_L486_); trivial. % 0.88/1.13 (* end of lemma zenon_L487_ *) % 0.88/1.13 assert (zenon_L488_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H195 zenon_H136 zenon_H12b zenon_H12e zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H1d9 zenon_H2c3 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H9b zenon_H9c zenon_H9d zenon_H2cb zenon_He3 zenon_H92. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.13 apply (zenon_L487_); trivial. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.13 apply (zenon_L473_); trivial. % 0.88/1.13 apply (zenon_L486_); trivial. % 0.88/1.13 (* end of lemma zenon_L488_ *) % 0.88/1.13 assert (zenon_L489_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H175 zenon_H96 zenon_H194 zenon_H136 zenon_H12b zenon_H12e zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_H1d9 zenon_H2c3 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H2cb zenon_He3 zenon_H92 zenon_H17c zenon_H3 zenon_Hcd zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_Hf zenon_Hd zenon_Hab zenon_H56 zenon_H58 zenon_H21 zenon_Hd8 zenon_Hda zenon_Hdc. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.13 apply (zenon_L53_); trivial. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.13 apply (zenon_L164_); trivial. % 0.88/1.13 apply (zenon_L488_); trivial. % 0.88/1.13 (* end of lemma zenon_L489_ *) % 0.88/1.13 assert (zenon_L490_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H92 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H9 zenon_H141. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.13 apply (zenon_L80_); trivial. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H13 | zenon_intro zenon_H2cc ]. % 0.88/1.13 apply (zenon_L108_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H5a | zenon_intro zenon_H1d6 ]. % 0.88/1.13 apply (zenon_L26_); trivial. % 0.88/1.13 apply (zenon_L455_); trivial. % 0.88/1.13 (* end of lemma zenon_L490_ *) % 0.88/1.13 assert (zenon_L491_ : ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp14)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H2db zenon_H13a zenon_H139 zenon_H138 zenon_H12 zenon_H31 zenon_H5. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H137 | zenon_intro zenon_H1d0 ]. % 0.88/1.13 apply (zenon_L79_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H32 | zenon_intro zenon_H6 ]. % 0.88/1.13 exact (zenon_H31 zenon_H32). % 0.88/1.13 exact (zenon_H5 zenon_H6). % 0.88/1.13 (* end of lemma zenon_L491_ *) % 0.88/1.13 assert (zenon_L492_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H7f zenon_H80 zenon_H58 zenon_H56 zenon_H16 zenon_H15 zenon_H14 zenon_He6 zenon_He7 zenon_He8 zenon_H138 zenon_H139 zenon_H13a zenon_H192 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H52 zenon_H54. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.13 apply (zenon_L457_); trivial. % 0.88/1.13 apply (zenon_L438_); trivial. % 0.88/1.13 (* end of lemma zenon_L492_ *) % 0.88/1.13 assert (zenon_L493_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c3_1 (a1202)) -> (c1_1 (a1202)) -> (~(c0_1 (a1202))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H7f zenon_H8f zenon_H86 zenon_H85 zenon_H84 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2cb zenon_H8d. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.13 apply (zenon_L32_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.13 apply (zenon_L456_); trivial. % 0.88/1.13 exact (zenon_H8d zenon_H8e). % 0.88/1.13 (* end of lemma zenon_L493_ *) % 0.88/1.13 assert (zenon_L494_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H91 zenon_H92 zenon_H8f zenon_H8d zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H138 zenon_H139 zenon_H13a zenon_H5 zenon_H2db. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.13 apply (zenon_L491_); trivial. % 0.88/1.13 apply (zenon_L493_); trivial. % 0.88/1.13 (* end of lemma zenon_L494_ *) % 0.88/1.13 assert (zenon_L495_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H21 zenon_H95 zenon_H8f zenon_H8d zenon_H2db zenon_H5 zenon_H54 zenon_H192 zenon_He8 zenon_He7 zenon_He6 zenon_H56 zenon_H58 zenon_H80 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H12 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.13 apply (zenon_L490_); trivial. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.13 apply (zenon_L491_); trivial. % 0.88/1.13 apply (zenon_L492_); trivial. % 0.88/1.13 apply (zenon_L494_); trivial. % 0.88/1.13 (* end of lemma zenon_L495_ *) % 0.88/1.13 assert (zenon_L496_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp5)) -> (~(c1_1 (a1218))) -> (~(c0_1 (a1218))) -> (~(c3_1 (a1218))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp22)) -> (~(hskp2)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H12d zenon_H1e8 zenon_Hd8 zenon_Hff zenon_Hfe zenon_H100 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hda zenon_H34 zenon_H31 zenon_Hd. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.13 apply (zenon_L65_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.13 apply (zenon_L261_); trivial. % 0.88/1.13 apply (zenon_L147_); trivial. % 0.88/1.13 (* end of lemma zenon_L496_ *) % 0.88/1.13 assert (zenon_L497_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (ndr1_0) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H1d9 zenon_H2c3 zenon_H12 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.13 apply (zenon_L460_); trivial. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.13 apply (zenon_L463_); trivial. % 0.88/1.13 apply (zenon_L496_); trivial. % 0.88/1.13 (* end of lemma zenon_L497_ *) % 0.88/1.13 assert (zenon_L498_ : ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (c3_1 (a1204)) -> (~(c1_1 (a1204))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H2cb zenon_H16 zenon_H15 zenon_H14 zenon_H124 zenon_H122 zenon_H1f1 zenon_H12 zenon_H2c2 zenon_H2c3 zenon_H2c4. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H13 | zenon_intro zenon_H2cc ]. % 0.88/1.13 apply (zenon_L10_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H5a | zenon_intro zenon_H1d6 ]. % 0.88/1.13 apply (zenon_L334_); trivial. % 0.88/1.13 apply (zenon_L455_); trivial. % 0.88/1.13 (* end of lemma zenon_L498_ *) % 0.88/1.13 assert (zenon_L499_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c0_1 (a1180))) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H58 zenon_He8 zenon_He7 zenon_H20b zenon_He6 zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_H56. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.13 apply (zenon_L208_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.13 apply (zenon_L10_); trivial. % 0.88/1.13 exact (zenon_H56 zenon_H57). % 0.88/1.13 (* end of lemma zenon_L499_ *) % 0.88/1.13 assert (zenon_L500_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (~(hskp7)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H133 zenon_H21a zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2cb zenon_H58 zenon_He8 zenon_He7 zenon_He6 zenon_H16 zenon_H15 zenon_H14 zenon_H56. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.13 apply (zenon_L50_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.13 apply (zenon_L498_); trivial. % 0.88/1.13 apply (zenon_L499_); trivial. % 0.88/1.13 (* end of lemma zenon_L500_ *) % 0.88/1.13 assert (zenon_L501_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> False). % 0.88/1.13 do 0 intro. intros zenon_Hdd zenon_H21 zenon_H136 zenon_H21a zenon_H56 zenon_H58 zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_Hd8 zenon_Hda zenon_H1d9 zenon_H2c3 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_Hc4 zenon_H2cb zenon_H8d zenon_H8f zenon_H92 zenon_Hb zenon_Hd zenon_Hf. % 0.88/1.13 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.13 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.13 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.13 apply (zenon_L8_); trivial. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.13 apply (zenon_L497_); trivial. % 0.88/1.13 apply (zenon_L471_); trivial. % 0.88/1.13 apply (zenon_L500_); trivial. % 0.88/1.13 (* end of lemma zenon_L501_ *) % 0.88/1.13 assert (zenon_L502_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_Hca zenon_H21 zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_H9d zenon_H9c zenon_H9b zenon_H56 zenon_H58 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92. % 0.88/1.13 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.13 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.13 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.13 apply (zenon_L490_); trivial. % 0.88/1.13 apply (zenon_L47_); trivial. % 0.88/1.13 (* end of lemma zenon_L502_ *) % 0.88/1.13 assert (zenon_L503_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_Hcd zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92 zenon_He3 zenon_Hab zenon_H5 zenon_H56 zenon_H58 zenon_H9d zenon_H9c zenon_H9b zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H141 zenon_H21. % 0.88/1.13 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.13 apply (zenon_L213_); trivial. % 0.88/1.13 apply (zenon_L502_); trivial. % 0.88/1.13 (* end of lemma zenon_L503_ *) % 0.88/1.13 assert (zenon_L504_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_Hdd zenon_H21 zenon_Hda zenon_Hd8 zenon_H9b zenon_H9c zenon_H9d zenon_H56 zenon_H58 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92. % 0.88/1.13 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.13 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.13 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.13 apply (zenon_L490_); trivial. % 0.88/1.13 apply (zenon_L52_); trivial. % 0.88/1.13 (* end of lemma zenon_L504_ *) % 0.88/1.13 assert (zenon_L505_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H175 zenon_Hdc zenon_Hda zenon_Hd8 zenon_H21 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H58 zenon_H56 zenon_Hab zenon_He3 zenon_H92 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_Hcd. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.13 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.13 apply (zenon_L503_); trivial. % 0.88/1.13 apply (zenon_L504_); trivial. % 0.88/1.13 (* end of lemma zenon_L505_ *) % 0.88/1.13 assert (zenon_L506_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H145 zenon_H174 zenon_Hab zenon_He3 zenon_Hc8 zenon_Hc7 zenon_Hcd zenon_Hdc zenon_H136 zenon_H21a zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_Hd8 zenon_Hda zenon_H1d9 zenon_Hf3 zenon_Hf9 zenon_Hfb zenon_Hc4 zenon_Hd zenon_Hf zenon_H92 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H141 zenon_H80 zenon_H58 zenon_H56 zenon_He6 zenon_He7 zenon_He8 zenon_H192 zenon_H54 zenon_H2db zenon_H8f zenon_H95 zenon_H21 zenon_H96. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.13 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.13 apply (zenon_L495_); trivial. % 0.88/1.13 apply (zenon_L501_); trivial. % 0.88/1.13 apply (zenon_L83_); trivial. % 0.88/1.13 apply (zenon_L505_); trivial. % 0.88/1.13 (* end of lemma zenon_L506_ *) % 0.88/1.13 assert (zenon_L507_ : (forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1)))))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H60 zenon_H12 zenon_H2c2 zenon_H2dc zenon_H2c3 zenon_H2c4. % 0.88/1.13 generalize (zenon_H60 (a1168)). zenon_intro zenon_H2d2. % 0.88/1.13 apply (zenon_imply_s _ _ zenon_H2d2); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d3 ]. % 0.88/1.13 exact (zenon_H11 zenon_H12). % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2d4 ]. % 0.88/1.13 exact (zenon_H2c2 zenon_H2c8). % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2c9 ]. % 0.88/1.13 generalize (zenon_H2dc (a1168)). zenon_intro zenon_H2dd. % 0.88/1.13 apply (zenon_imply_s _ _ zenon_H2dd); [ zenon_intro zenon_H11 | zenon_intro zenon_H2de ]. % 0.88/1.13 exact (zenon_H11 zenon_H12). % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2df ]. % 0.88/1.13 exact (zenon_H2c2 zenon_H2c8). % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2d1 ]. % 0.88/1.13 exact (zenon_H2ca zenon_H2c3). % 0.88/1.13 exact (zenon_H2d1 zenon_H2cd). % 0.88/1.13 exact (zenon_H2c9 zenon_H2c4). % 0.88/1.13 (* end of lemma zenon_L507_ *) % 0.88/1.13 assert (zenon_L508_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c3_1 (a1211)) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1)))))) -> (~(c2_1 (a1168))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c2_1 (a1182)) -> (c3_1 (a1182)) -> (c1_1 (a1182)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H74 zenon_H5b zenon_H45 zenon_H43 zenon_H2c4 zenon_H2c3 zenon_H2dc zenon_H2c2 zenon_H12 zenon_H1e5 zenon_H113 zenon_H114 zenon_H115. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H5a | zenon_intro zenon_H75 ]. % 0.88/1.13 apply (zenon_L26_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H6a ]. % 0.88/1.13 apply (zenon_L507_); trivial. % 0.88/1.13 apply (zenon_L364_); trivial. % 0.88/1.13 (* end of lemma zenon_L508_ *) % 0.88/1.13 assert (zenon_L509_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (c3_1 (a1211)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c0_1 (a1199))) -> (~(c3_1 (a1199))) -> (c2_1 (a1199)) -> (~(c0_1 (a1218))) -> (~(c1_1 (a1218))) -> (~(c3_1 (a1218))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp1)) -> False). % 0.88/1.13 do 0 intro. intros zenon_H12d zenon_H2e0 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H43 zenon_H45 zenon_H5b zenon_H74 zenon_H181 zenon_H182 zenon_H183 zenon_Hfe zenon_Hff zenon_H100 zenon_H1e8 zenon_H3. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H2e1 ]. % 0.88/1.13 apply (zenon_L123_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2dc | zenon_intro zenon_H4 ]. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.13 apply (zenon_L65_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.13 apply (zenon_L104_); trivial. % 0.88/1.13 apply (zenon_L508_); trivial. % 0.88/1.13 exact (zenon_H3 zenon_H4). % 0.88/1.13 (* end of lemma zenon_L509_ *) % 0.88/1.13 assert (zenon_L510_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1199))) -> (~(c3_1 (a1199))) -> (c2_1 (a1199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c3_1 (a1211)) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H107 zenon_H132 zenon_H2e0 zenon_H3 zenon_H181 zenon_H182 zenon_H183 zenon_H74 zenon_H5b zenon_H45 zenon_H43 zenon_H1e8 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_He6 zenon_He7 zenon_He8 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.13 apply (zenon_L463_); trivial. % 0.88/1.13 apply (zenon_L509_); trivial. % 0.88/1.13 (* end of lemma zenon_L510_ *) % 0.88/1.13 assert (zenon_L511_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1199))) -> (~(c3_1 (a1199))) -> (c2_1 (a1199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H7f zenon_H10c zenon_H132 zenon_H2e0 zenon_H3 zenon_H181 zenon_H182 zenon_H183 zenon_H74 zenon_H1e8 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H1d9 zenon_H2c3 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.13 apply (zenon_L460_); trivial. % 0.88/1.13 apply (zenon_L510_); trivial. % 0.88/1.13 (* end of lemma zenon_L511_ *) % 0.88/1.13 assert (zenon_L512_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (ndr1_0) -> (c0_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c0_1 (a1199))) -> (~(c3_1 (a1199))) -> (c2_1 (a1199)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H92 zenon_H2e0 zenon_H3 zenon_H74 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c4 zenon_Hef zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H12 zenon_H2c3 zenon_H1d9 zenon_H181 zenon_H182 zenon_H183 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.13 apply (zenon_L485_); trivial. % 0.88/1.13 apply (zenon_L511_); trivial. % 0.88/1.13 (* end of lemma zenon_L512_ *) % 0.88/1.13 assert (zenon_L513_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H1d zenon_H136 zenon_H8f zenon_H8d zenon_H2cb zenon_Hc4 zenon_H12b zenon_H12e zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H183 zenon_H182 zenon_H181 zenon_H1d9 zenon_H2c3 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H74 zenon_H3 zenon_H2e0 zenon_H92. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.13 apply (zenon_L512_); trivial. % 0.88/1.13 apply (zenon_L474_); trivial. % 0.88/1.13 (* end of lemma zenon_L513_ *) % 0.88/1.13 assert (zenon_L514_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H195 zenon_H21 zenon_H136 zenon_H8f zenon_H8d zenon_H2cb zenon_Hc4 zenon_H12b zenon_H12e zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_H1d9 zenon_H2c3 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H74 zenon_H3 zenon_H2e0 zenon_H92 zenon_Hb zenon_Hd zenon_Hf. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.13 apply (zenon_L8_); trivial. % 0.88/1.13 apply (zenon_L513_); trivial. % 0.88/1.13 (* end of lemma zenon_L514_ *) % 0.88/1.13 assert (zenon_L515_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c3_1 (a1202)) -> (c1_1 (a1202)) -> (~(c0_1 (a1202))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (ndr1_0) -> (c0_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c0_1 (a1199))) -> (~(c3_1 (a1199))) -> (c2_1 (a1199)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H92 zenon_H8f zenon_H8d zenon_H2cb zenon_H86 zenon_H85 zenon_H84 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c4 zenon_Hef zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H12 zenon_H2c3 zenon_H1d9 zenon_H181 zenon_H182 zenon_H183 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.13 apply (zenon_L485_); trivial. % 0.88/1.13 apply (zenon_L493_); trivial. % 0.88/1.13 (* end of lemma zenon_L515_ *) % 0.88/1.13 assert (zenon_L516_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H91 zenon_H136 zenon_H12e zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H183 zenon_H182 zenon_H181 zenon_H1d9 zenon_H2c3 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H2cb zenon_H8d zenon_H8f zenon_H92. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.13 apply (zenon_L515_); trivial. % 0.88/1.13 apply (zenon_L77_); trivial. % 0.88/1.13 (* end of lemma zenon_L516_ *) % 0.88/1.13 assert (zenon_L517_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (c0_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.13 do 0 intro. intros zenon_H97 zenon_H194 zenon_H95 zenon_H8d zenon_H8f zenon_H92 zenon_H2e0 zenon_H74 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c4 zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H2c3 zenon_H1d9 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H12b zenon_H54 zenon_H2cb zenon_H27a zenon_H80 zenon_H136 zenon_H17c zenon_H3 zenon_H56 zenon_H58 zenon_H21. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.13 apply (zenon_L164_); trivial. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.13 apply (zenon_L512_); trivial. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.13 apply (zenon_L473_); trivial. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.13 apply (zenon_L463_); trivial. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.13 apply (zenon_L457_); trivial. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H12. zenon_intro zenon_H78. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H6b. zenon_intro zenon_H79. % 0.88/1.13 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H6c. zenon_intro zenon_H6d. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H27b ]. % 0.88/1.13 apply (zenon_L123_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H61 | zenon_intro zenon_H20b ]. % 0.88/1.13 apply (zenon_L29_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H2e1 ]. % 0.88/1.13 apply (zenon_L123_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2dc | zenon_intro zenon_H4 ]. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.13 apply (zenon_L171_); trivial. % 0.88/1.13 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.14 apply (zenon_L104_); trivial. % 0.88/1.14 apply (zenon_L508_); trivial. % 0.88/1.14 exact (zenon_H3 zenon_H4). % 0.88/1.14 apply (zenon_L516_); trivial. % 0.88/1.14 (* end of lemma zenon_L517_ *) % 0.88/1.14 assert (zenon_L518_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (c0_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H174 zenon_H224 zenon_H194 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H74 zenon_H2e0 zenon_Hf zenon_H17c zenon_H3 zenon_H92 zenon_H8f zenon_H2cb zenon_Hc4 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c4 zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H2c3 zenon_H1d9 zenon_H2d7 zenon_H222 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H12b zenon_H136 zenon_H21 zenon_H58 zenon_H56 zenon_H80 zenon_H27a zenon_H54 zenon_H95 zenon_H96. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.14 apply (zenon_L102_); trivial. % 0.88/1.14 apply (zenon_L475_); trivial. % 0.88/1.14 apply (zenon_L514_); trivial. % 0.88/1.14 apply (zenon_L517_); trivial. % 0.88/1.14 apply (zenon_L182_); trivial. % 0.88/1.14 (* end of lemma zenon_L518_ *) % 0.88/1.14 assert (zenon_L519_ : ((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp6)) -> False). % 0.88/1.14 do 0 intro. intros zenon_H1c8 zenon_H2d7 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H222. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H9a | zenon_intro zenon_H2d8 ]. % 0.88/1.14 apply (zenon_L90_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H223 ]. % 0.88/1.14 apply (zenon_L455_); trivial. % 0.88/1.14 exact (zenon_H222 zenon_H223). % 0.88/1.14 (* end of lemma zenon_L519_ *) % 0.88/1.14 assert (zenon_L520_ : ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((hskp28)\/(hskp8)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H1cb zenon_H174 zenon_H224 zenon_H222 zenon_Hf9 zenon_H21 zenon_H248 zenon_H58 zenon_H24 zenon_H238 zenon_Hc4 zenon_H38 zenon_Hd zenon_Hf zenon_H92 zenon_H80 zenon_H74 zenon_H3 zenon_H77 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H54 zenon_H34 zenon_H8f zenon_H95 zenon_H96 zenon_H15a zenon_H21a zenon_H143 zenon_H141 zenon_H192 zenon_H2db zenon_H194 zenon_H1ab zenon_H17c zenon_Hfb zenon_Hf3 zenon_H1d9 zenon_H2d7 zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H136 zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_Hc8 zenon_Hc7 zenon_Hcd zenon_He3 zenon_H2e0 zenon_H27a zenon_H1cc zenon_H173. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 0.88/1.14 apply (zenon_L458_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.14 apply (zenon_L484_); trivial. % 0.88/1.14 apply (zenon_L489_); trivial. % 0.88/1.14 apply (zenon_L506_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.14 apply (zenon_L518_); trivial. % 0.88/1.14 apply (zenon_L506_); trivial. % 0.88/1.14 apply (zenon_L519_); trivial. % 0.88/1.14 (* end of lemma zenon_L520_ *) % 0.88/1.14 assert (zenon_L521_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H175 zenon_H92 zenon_He3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H24 zenon_H22 zenon_Hd zenon_H34 zenon_H38. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L18_); trivial. % 0.88/1.14 apply (zenon_L486_); trivial. % 0.88/1.14 (* end of lemma zenon_L521_ *) % 0.88/1.14 assert (zenon_L522_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H7f zenon_H80 zenon_H27a zenon_H268 zenon_H267 zenon_H266 zenon_H3b zenon_H3a zenon_H3c zenon_H74 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H52 zenon_H54. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.14 apply (zenon_L457_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H12. zenon_intro zenon_H78. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H6b. zenon_intro zenon_H79. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H6c. zenon_intro zenon_H6d. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H27b ]. % 0.88/1.14 apply (zenon_L123_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H61 | zenon_intro zenon_H20b ]. % 0.88/1.14 apply (zenon_L29_); trivial. % 0.88/1.14 apply (zenon_L232_); trivial. % 0.88/1.14 (* end of lemma zenon_L522_ *) % 0.88/1.14 assert (zenon_L523_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H1cc zenon_H27a zenon_H268 zenon_H96 zenon_H95 zenon_H8f zenon_H34 zenon_H54 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H74 zenon_Hfb zenon_Hf9 zenon_H267 zenon_H266 zenon_H1ab zenon_H80 zenon_H92 zenon_Hf zenon_Hd zenon_H38 zenon_Hc4 zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21 zenon_He3 zenon_H174. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.14 apply (zenon_L454_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L18_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.14 apply (zenon_L457_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H12. zenon_intro zenon_H78. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H6b. zenon_intro zenon_H79. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H6c. zenon_intro zenon_H6d. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H61 | zenon_intro zenon_H1ac ]. % 0.88/1.14 apply (zenon_L29_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H19f | zenon_intro zenon_H1aa ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 0.88/1.14 apply (zenon_L256_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 0.88/1.14 apply (zenon_L461_); trivial. % 0.88/1.14 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.14 exact (zenon_H1a9 zenon_H1aa). % 0.88/1.14 apply (zenon_L36_); trivial. % 0.88/1.14 apply (zenon_L521_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.14 apply (zenon_L454_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L18_); trivial. % 0.88/1.14 apply (zenon_L522_); trivial. % 0.88/1.14 apply (zenon_L36_); trivial. % 0.88/1.14 apply (zenon_L521_); trivial. % 0.88/1.14 (* end of lemma zenon_L523_ *) % 0.88/1.14 assert (zenon_L524_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (ndr1_0) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H5 zenon_Ha9 zenon_Hab zenon_H1d9 zenon_H2c3 zenon_H12 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.14 apply (zenon_L460_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.14 apply (zenon_L463_); trivial. % 0.88/1.14 apply (zenon_L352_); trivial. % 0.88/1.14 (* end of lemma zenon_L524_ *) % 0.88/1.14 assert (zenon_L525_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H21 zenon_H136 zenon_H12b zenon_H12e zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_H5 zenon_Ha9 zenon_Hab zenon_H1d9 zenon_H2c3 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_Hc4 zenon_H2cb zenon_H8d zenon_H8f zenon_H92 zenon_Hb zenon_Hd zenon_Hf. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.14 apply (zenon_L8_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L524_); trivial. % 0.88/1.14 apply (zenon_L471_); trivial. % 0.88/1.14 apply (zenon_L474_); trivial. % 0.88/1.14 (* end of lemma zenon_L525_ *) % 0.88/1.14 assert (zenon_L526_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1218))) -> (~(c1_1 (a1218))) -> (~(c0_1 (a1218))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp22)) -> (~(hskp2)) -> False). % 0.88/1.14 do 0 intro. intros zenon_H12d zenon_H1e8 zenon_H100 zenon_Hff zenon_Hfe zenon_H268 zenon_H267 zenon_H266 zenon_Haf zenon_Hb0 zenon_H288 zenon_H34 zenon_H31 zenon_Hd. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.14 apply (zenon_L65_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H83 | zenon_intro zenon_H289 ]. % 0.88/1.14 apply (zenon_L72_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H164 | zenon_intro zenon_H20b ]. % 0.88/1.14 apply (zenon_L143_); trivial. % 0.88/1.14 apply (zenon_L232_); trivial. % 0.88/1.14 apply (zenon_L147_); trivial. % 0.88/1.14 (* end of lemma zenon_L526_ *) % 0.88/1.14 assert (zenon_L527_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp22)) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (ndr1_0) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_Hd zenon_H31 zenon_Haf zenon_Hb0 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_H1d9 zenon_H2c3 zenon_H12 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.14 apply (zenon_L460_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.14 apply (zenon_L463_); trivial. % 0.88/1.14 apply (zenon_L526_); trivial. % 0.88/1.14 (* end of lemma zenon_L527_ *) % 0.88/1.14 assert (zenon_L528_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H7f zenon_H80 zenon_H2e0 zenon_H3 zenon_H74 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H52 zenon_H54. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.14 apply (zenon_L457_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H12. zenon_intro zenon_H78. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H6b. zenon_intro zenon_H79. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H6c. zenon_intro zenon_H6d. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H2e1 ]. % 0.88/1.14 apply (zenon_L123_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2dc | zenon_intro zenon_H4 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H5a | zenon_intro zenon_H75 ]. % 0.88/1.14 apply (zenon_L26_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H6a ]. % 0.88/1.14 apply (zenon_L507_); trivial. % 0.88/1.14 apply (zenon_L28_); trivial. % 0.88/1.14 exact (zenon_H3 zenon_H4). % 0.88/1.14 (* end of lemma zenon_L528_ *) % 0.88/1.14 assert (zenon_L529_ : ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1)))))) -> (~(c2_1 (a1168))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp23)) -> False). % 0.88/1.14 do 0 intro. intros zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2dc zenon_H2c2 zenon_H12 zenon_Hef zenon_Hf1. % 0.88/1.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf5 ]. % 0.88/1.14 apply (zenon_L507_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf2 ]. % 0.88/1.14 exact (zenon_Hef zenon_Hf0). % 0.88/1.14 exact (zenon_Hf1 zenon_Hf2). % 0.88/1.14 (* end of lemma zenon_L529_ *) % 0.88/1.14 assert (zenon_L530_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> (~(hskp23)) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp1)) -> False). % 0.88/1.14 do 0 intro. intros zenon_H2e0 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Hf1 zenon_Hef zenon_H12 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H3. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H2e1 ]. % 0.88/1.14 apply (zenon_L123_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2dc | zenon_intro zenon_H4 ]. % 0.88/1.14 apply (zenon_L529_); trivial. % 0.88/1.14 exact (zenon_H3 zenon_H4). % 0.88/1.14 (* end of lemma zenon_L530_ *) % 0.88/1.14 assert (zenon_L531_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (ndr1_0) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H183 zenon_H182 zenon_H181 zenon_He6 zenon_He7 zenon_He8 zenon_H1d9 zenon_Hf9 zenon_Hfb zenon_H12 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.14 apply (zenon_L530_); trivial. % 0.88/1.14 apply (zenon_L479_); trivial. % 0.88/1.14 (* end of lemma zenon_L531_ *) % 0.88/1.14 assert (zenon_L532_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H97 zenon_H194 zenon_H95 zenon_H8d zenon_H8f zenon_H92 zenon_H80 zenon_H27a zenon_H268 zenon_H267 zenon_H266 zenon_H74 zenon_H2cb zenon_H54 zenon_H2e0 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Hfb zenon_Hf9 zenon_H1d9 zenon_He8 zenon_He7 zenon_He6 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H12b zenon_H136 zenon_H17c zenon_H3 zenon_H56 zenon_H58 zenon_H21. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.14 apply (zenon_L164_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L531_); trivial. % 0.88/1.14 apply (zenon_L522_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L473_); trivial. % 0.88/1.14 apply (zenon_L522_); trivial. % 0.88/1.14 apply (zenon_L516_); trivial. % 0.88/1.14 (* end of lemma zenon_L532_ *) % 0.88/1.14 assert (zenon_L533_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> False). % 0.88/1.14 do 0 intro. intros zenon_H133 zenon_H21a zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H14 zenon_H15 zenon_H16 zenon_H2cb zenon_H266 zenon_H267 zenon_H268. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.14 apply (zenon_L50_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.14 apply (zenon_L498_); trivial. % 0.88/1.14 apply (zenon_L232_); trivial. % 0.88/1.14 (* end of lemma zenon_L533_ *) % 0.88/1.14 assert (zenon_L534_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H91 zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H14 zenon_H15 zenon_H16 zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H1d9 zenon_H2c3 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H2cb zenon_H8d zenon_H8f zenon_H92. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L497_); trivial. % 0.88/1.14 apply (zenon_L493_); trivial. % 0.88/1.14 apply (zenon_L533_); trivial. % 0.88/1.14 (* end of lemma zenon_L534_ *) % 0.88/1.14 assert (zenon_L535_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H91 zenon_H136 zenon_H21a zenon_H56 zenon_H58 zenon_H14 zenon_H15 zenon_H16 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H183 zenon_H182 zenon_H181 zenon_H1d9 zenon_H2c3 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H2cb zenon_H8d zenon_H8f zenon_H92. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.14 apply (zenon_L515_); trivial. % 0.88/1.14 apply (zenon_L500_); trivial. % 0.88/1.14 (* end of lemma zenon_L535_ *) % 0.88/1.14 assert (zenon_L536_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H195 zenon_H21 zenon_H95 zenon_H8d zenon_H8f zenon_H80 zenon_H58 zenon_H56 zenon_H192 zenon_H54 zenon_H2e0 zenon_H3 zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Hfb zenon_Hf9 zenon_H1d9 zenon_He8 zenon_He7 zenon_He6 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_H21a zenon_H136 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.14 apply (zenon_L490_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L531_); trivial. % 0.88/1.14 apply (zenon_L492_); trivial. % 0.88/1.14 apply (zenon_L500_); trivial. % 0.88/1.14 apply (zenon_L535_); trivial. % 0.88/1.14 (* end of lemma zenon_L536_ *) % 0.88/1.14 assert (zenon_L537_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H145 zenon_H174 zenon_Hab zenon_He3 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_Hcd zenon_H21 zenon_H95 zenon_H8f zenon_H2db zenon_H54 zenon_H192 zenon_He8 zenon_He7 zenon_He6 zenon_H56 zenon_H58 zenon_H80 zenon_H141 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92 zenon_H268 zenon_H267 zenon_H266 zenon_Hfb zenon_Hf9 zenon_Hf3 zenon_H1d9 zenon_Hda zenon_Hd8 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H21a zenon_H136 zenon_H3 zenon_H17c zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H2e0 zenon_H194 zenon_Hdc. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.14 apply (zenon_L495_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.14 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.14 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.14 apply (zenon_L102_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L497_); trivial. % 0.88/1.14 apply (zenon_L492_); trivial. % 0.88/1.14 apply (zenon_L500_); trivial. % 0.88/1.14 apply (zenon_L534_); trivial. % 0.88/1.14 apply (zenon_L536_); trivial. % 0.88/1.14 apply (zenon_L505_); trivial. % 0.88/1.14 (* end of lemma zenon_L537_ *) % 0.88/1.14 assert (zenon_L538_ : ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c3_1 (a1211)) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> False). % 0.88/1.14 do 0 intro. intros zenon_H2cb zenon_H27 zenon_H5b zenon_H45 zenon_H43 zenon_H12 zenon_H2c2 zenon_H2c3 zenon_H2c4. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H13 | zenon_intro zenon_H2cc ]. % 0.88/1.14 apply (zenon_L99_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H5a | zenon_intro zenon_H1d6 ]. % 0.88/1.14 apply (zenon_L26_); trivial. % 0.88/1.14 apply (zenon_L455_); trivial. % 0.88/1.14 (* end of lemma zenon_L538_ *) % 0.88/1.14 assert (zenon_L539_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp3)) -> False). % 0.88/1.14 do 0 intro. intros zenon_H7f zenon_H17a zenon_H15d zenon_H15c zenon_H15b zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2cb zenon_Hf9. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H9a | zenon_intro zenon_H17b ]. % 0.88/1.14 apply (zenon_L90_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H27 | zenon_intro zenon_Hfa ]. % 0.88/1.14 apply (zenon_L538_); trivial. % 0.88/1.14 exact (zenon_Hf9 zenon_Hfa). % 0.88/1.14 (* end of lemma zenon_L539_ *) % 0.88/1.14 assert (zenon_L540_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H92 zenon_H17a zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H15d zenon_H15c zenon_H15b zenon_H24 zenon_H22 zenon_Hd zenon_H34 zenon_H38. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L18_); trivial. % 0.88/1.14 apply (zenon_L539_); trivial. % 0.88/1.14 (* end of lemma zenon_L540_ *) % 0.88/1.14 assert (zenon_L541_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H133 zenon_H92 zenon_H17a zenon_H2cb zenon_H15d zenon_H15c zenon_H15b zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_He8 zenon_He7 zenon_He6 zenon_H34 zenon_Hd zenon_H12b zenon_H12e zenon_H132. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L473_); trivial. % 0.88/1.14 apply (zenon_L539_); trivial. % 0.88/1.14 (* end of lemma zenon_L541_ *) % 0.88/1.14 assert (zenon_L542_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (c0_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H12 zenon_H21 zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_H3 zenon_H17c zenon_H92 zenon_H17a zenon_H2cb zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c4 zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H2c3 zenon_H1d9 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H12b zenon_H136 zenon_H194 zenon_Hcd. % 0.88/1.14 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.14 apply (zenon_L131_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.14 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.14 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.14 apply (zenon_L300_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L485_); trivial. % 0.88/1.14 apply (zenon_L539_); trivial. % 0.88/1.14 apply (zenon_L541_); trivial. % 0.88/1.14 apply (zenon_L91_); trivial. % 0.88/1.14 (* end of lemma zenon_L542_ *) % 0.88/1.14 assert (zenon_L543_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_Hca zenon_H21 zenon_Hc7 zenon_Hc4 zenon_H15b zenon_H15c zenon_H15d zenon_Hc8 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92. % 0.88/1.14 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.14 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.14 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.14 apply (zenon_L490_); trivial. % 0.88/1.14 apply (zenon_L154_); trivial. % 0.88/1.14 (* end of lemma zenon_L543_ *) % 0.88/1.14 assert (zenon_L544_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (ndr1_0) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> False). % 0.88/1.14 do 0 intro. intros zenon_Hcd zenon_H21 zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92 zenon_H12 zenon_H15b zenon_H15c zenon_H15d zenon_H5 zenon_Hab. % 0.88/1.14 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.14 apply (zenon_L131_); trivial. % 0.88/1.14 apply (zenon_L543_); trivial. % 0.88/1.14 (* end of lemma zenon_L544_ *) % 0.88/1.14 assert (zenon_L545_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H145 zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H92 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H141 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_H21 zenon_Hcd. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.14 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.14 apply (zenon_L544_); trivial. % 0.88/1.14 apply (zenon_L91_); trivial. % 0.88/1.14 (* end of lemma zenon_L545_ *) % 0.88/1.14 assert (zenon_L546_ : ((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((hskp28)\/(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H1c8 zenon_H173 zenon_H15a zenon_H143 zenon_H141 zenon_Hcd zenon_H194 zenon_H136 zenon_H12e zenon_H10c zenon_H132 zenon_H1e8 zenon_H1d9 zenon_Hf3 zenon_Hfb zenon_H17c zenon_H3 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_H21 zenon_Hab zenon_Hd8 zenon_Hda zenon_Hdc zenon_H38 zenon_H34 zenon_Hd zenon_H24 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_H17a zenon_H92. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 0.88/1.14 apply (zenon_L540_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.14 apply (zenon_L542_); trivial. % 0.88/1.14 apply (zenon_L545_); trivial. % 0.88/1.14 (* end of lemma zenon_L546_ *) % 0.88/1.14 assert (zenon_L547_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H174 zenon_H224 zenon_H21 zenon_H136 zenon_H12b zenon_H12e zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_H222 zenon_H2d7 zenon_H1d9 zenon_H2c3 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_Hc4 zenon_H2cb zenon_H8f zenon_H92 zenon_Hd zenon_Hf zenon_H58 zenon_H56 zenon_H3 zenon_H17c zenon_H1a9 zenon_H1ab zenon_H54 zenon_H74 zenon_H80 zenon_H95 zenon_H194 zenon_H96. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.14 apply (zenon_L484_); trivial. % 0.88/1.14 apply (zenon_L182_); trivial. % 0.88/1.14 (* end of lemma zenon_L547_ *) % 0.88/1.14 assert (zenon_L548_ : ((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H76 zenon_H192 zenon_H183 zenon_H182 zenon_H181 zenon_H13a zenon_H139 zenon_H138. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H12. zenon_intro zenon_H78. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H6b. zenon_intro zenon_H79. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H6c. zenon_intro zenon_H6d. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H180 | zenon_intro zenon_H193 ]. % 0.88/1.14 apply (zenon_L104_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H137 | zenon_intro zenon_H6a ]. % 0.88/1.14 apply (zenon_L79_); trivial. % 0.88/1.14 apply (zenon_L28_); trivial. % 0.88/1.14 (* end of lemma zenon_L548_ *) % 0.88/1.14 assert (zenon_L549_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (ndr1_0) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H80 zenon_H183 zenon_H182 zenon_H181 zenon_H192 zenon_H166 zenon_H167 zenon_H52 zenon_H54 zenon_H13a zenon_H139 zenon_H138 zenon_He8 zenon_He7 zenon_He6 zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_H56 zenon_H58. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.14 apply (zenon_L437_); trivial. % 0.88/1.14 apply (zenon_L548_); trivial. % 0.88/1.14 (* end of lemma zenon_L549_ *) % 0.88/1.14 assert (zenon_L550_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c0_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H195 zenon_H21 zenon_H95 zenon_H136 zenon_H21a zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_H1d9 zenon_H2c3 zenon_Hf3 zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H2cb zenon_H8d zenon_H8f zenon_H92 zenon_H58 zenon_H56 zenon_He6 zenon_He7 zenon_He8 zenon_H138 zenon_H139 zenon_H13a zenon_H54 zenon_H167 zenon_H166 zenon_H192 zenon_H80 zenon_Hb zenon_Hd zenon_Hf. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.14 apply (zenon_L8_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.14 apply (zenon_L549_); trivial. % 0.88/1.14 apply (zenon_L535_); trivial. % 0.88/1.14 (* end of lemma zenon_L550_ *) % 0.88/1.14 assert (zenon_L551_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp6)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp7)) -> False). % 0.88/1.14 do 0 intro. intros zenon_H1d zenon_H58 zenon_H222 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H9b zenon_H9c zenon_H9d zenon_H2d7 zenon_H56. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H9a | zenon_intro zenon_H2d8 ]. % 0.88/1.14 apply (zenon_L39_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H223 ]. % 0.88/1.14 apply (zenon_L455_); trivial. % 0.88/1.14 exact (zenon_H222 zenon_H223). % 0.88/1.14 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.14 apply (zenon_L10_); trivial. % 0.88/1.14 exact (zenon_H56 zenon_H57). % 0.88/1.14 (* end of lemma zenon_L551_ *) % 0.88/1.14 assert (zenon_L552_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H175 zenon_H21 zenon_H58 zenon_H56 zenon_H222 zenon_H2d7 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.14 apply (zenon_L490_); trivial. % 0.88/1.14 apply (zenon_L551_); trivial. % 0.88/1.14 (* end of lemma zenon_L552_ *) % 0.88/1.14 assert (zenon_L553_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (ndr1_0) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_He6 zenon_He7 zenon_He8 zenon_H1d9 zenon_Hf9 zenon_Hfb zenon_H12 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.14 apply (zenon_L530_); trivial. % 0.88/1.14 apply (zenon_L466_); trivial. % 0.88/1.14 (* end of lemma zenon_L553_ *) % 0.88/1.14 assert (zenon_L554_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c3_1 (a1202)) -> (c1_1 (a1202)) -> (~(c0_1 (a1202))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H92 zenon_H8f zenon_H8d zenon_H2cb zenon_H86 zenon_H85 zenon_H84 zenon_H2e0 zenon_H3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hef zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H12 zenon_Hfb zenon_Hf9 zenon_H1d9 zenon_He8 zenon_He7 zenon_He6 zenon_H2d7 zenon_H222 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L553_); trivial. % 0.88/1.14 apply (zenon_L493_); trivial. % 0.88/1.14 (* end of lemma zenon_L554_ *) % 0.88/1.14 assert (zenon_L555_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H91 zenon_H136 zenon_H21a zenon_H56 zenon_H58 zenon_H14 zenon_H15 zenon_H16 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_He6 zenon_He7 zenon_He8 zenon_H1d9 zenon_Hf9 zenon_Hfb zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0 zenon_H2cb zenon_H8d zenon_H8f zenon_H92. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.14 apply (zenon_L554_); trivial. % 0.88/1.14 apply (zenon_L500_); trivial. % 0.88/1.14 (* end of lemma zenon_L555_ *) % 0.88/1.14 assert (zenon_L556_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H91 zenon_H136 zenon_H21a zenon_H56 zenon_H58 zenon_H14 zenon_H15 zenon_H16 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H183 zenon_H182 zenon_H181 zenon_He6 zenon_He7 zenon_He8 zenon_H1d9 zenon_Hf9 zenon_Hfb zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0 zenon_H2cb zenon_H8d zenon_H8f zenon_H92. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L531_); trivial. % 0.88/1.14 apply (zenon_L493_); trivial. % 0.88/1.14 apply (zenon_L500_); trivial. % 0.88/1.14 (* end of lemma zenon_L556_ *) % 0.88/1.14 assert (zenon_L557_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H145 zenon_H174 zenon_H21 zenon_H95 zenon_H8f zenon_H2db zenon_H54 zenon_H192 zenon_He8 zenon_He7 zenon_He6 zenon_H56 zenon_H58 zenon_H80 zenon_H141 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92 zenon_H136 zenon_H21a zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H1d9 zenon_Hf9 zenon_Hfb zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2e0 zenon_H167 zenon_H166 zenon_H3 zenon_H17c zenon_H194 zenon_Hdc. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.14 apply (zenon_L495_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.14 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.14 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.14 apply (zenon_L102_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.14 apply (zenon_L439_); trivial. % 0.88/1.14 apply (zenon_L555_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.14 apply (zenon_L490_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.14 apply (zenon_L549_); trivial. % 0.88/1.14 apply (zenon_L556_); trivial. % 0.88/1.14 apply (zenon_L552_); trivial. % 0.88/1.14 (* end of lemma zenon_L557_ *) % 0.88/1.14 assert (zenon_L558_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp2)) -> (~(hskp22)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> False). % 0.88/1.14 do 0 intro. intros zenon_H12d zenon_H288 zenon_Hd zenon_H31 zenon_H34 zenon_H167 zenon_H166 zenon_H165 zenon_H266 zenon_H267 zenon_H268. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H83 | zenon_intro zenon_H289 ]. % 0.88/1.14 apply (zenon_L72_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H164 | zenon_intro zenon_H20b ]. % 0.88/1.14 apply (zenon_L93_); trivial. % 0.88/1.14 apply (zenon_L232_); trivial. % 0.88/1.14 (* end of lemma zenon_L558_ *) % 0.88/1.14 assert (zenon_L559_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (ndr1_0) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H132 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H167 zenon_H166 zenon_H165 zenon_H31 zenon_Hd zenon_H34 zenon_H12 zenon_He6 zenon_He7 zenon_He8 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.14 apply (zenon_L463_); trivial. % 0.88/1.14 apply (zenon_L558_); trivial. % 0.88/1.14 (* end of lemma zenon_L559_ *) % 0.88/1.14 assert (zenon_L560_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H1d zenon_H92 zenon_H8f zenon_H8d zenon_H2cb zenon_Hc4 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_He8 zenon_He7 zenon_He6 zenon_H34 zenon_Hd zenon_H165 zenon_H166 zenon_H167 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_H132. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L559_); trivial. % 0.88/1.14 apply (zenon_L471_); trivial. % 0.88/1.14 (* end of lemma zenon_L560_ *) % 0.88/1.14 assert (zenon_L561_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H175 zenon_H92 zenon_He3 zenon_H2cb zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_He8 zenon_He7 zenon_He6 zenon_H34 zenon_Hd zenon_H165 zenon_H166 zenon_H167 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_H132. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L559_); trivial. % 0.88/1.14 apply (zenon_L486_); trivial. % 0.88/1.14 (* end of lemma zenon_L561_ *) % 0.88/1.14 assert (zenon_L562_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(c3_1 (a1176))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H21 zenon_H95 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H165 zenon_H58 zenon_H56 zenon_He6 zenon_He7 zenon_He8 zenon_H138 zenon_H139 zenon_H13a zenon_H54 zenon_H167 zenon_H166 zenon_H192 zenon_H80 zenon_Hb zenon_Hd zenon_Hf. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.14 apply (zenon_L8_); trivial. % 0.88/1.14 apply (zenon_L440_); trivial. % 0.88/1.14 (* end of lemma zenon_L562_ *) % 0.88/1.14 assert (zenon_L563_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c3_1 (a1176))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H145 zenon_H96 zenon_H141 zenon_H143 zenon_H92 zenon_Hf zenon_Hd zenon_H80 zenon_H192 zenon_H166 zenon_H167 zenon_H54 zenon_He8 zenon_He7 zenon_He6 zenon_H56 zenon_H58 zenon_H165 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_H95 zenon_H21. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.14 apply (zenon_L562_); trivial. % 0.88/1.14 apply (zenon_L83_); trivial. % 0.88/1.14 (* end of lemma zenon_L563_ *) % 0.88/1.14 assert (zenon_L564_ : ((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H170 zenon_H92 zenon_H17a zenon_H2cb zenon_H15d zenon_H15c zenon_H15b zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_H34 zenon_Hd zenon_H165 zenon_H166 zenon_H167 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_H132. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L559_); trivial. % 0.88/1.14 apply (zenon_L539_); trivial. % 0.88/1.14 (* end of lemma zenon_L564_ *) % 0.88/1.14 assert (zenon_L565_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.88/1.14 do 0 intro. intros zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H12 zenon_H10f. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1da ]. % 0.88/1.14 apply (zenon_L455_); trivial. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H19f | zenon_intro zenon_H110 ]. % 0.88/1.14 apply (zenon_L115_); trivial. % 0.88/1.14 exact (zenon_H10f zenon_H110). % 0.88/1.14 (* end of lemma zenon_L565_ *) % 0.88/1.14 assert (zenon_L566_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H107 zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H183 zenon_H182 zenon_H181 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.14 apply (zenon_L565_); trivial. % 0.88/1.14 apply (zenon_L478_); trivial. % 0.88/1.14 (* end of lemma zenon_L566_ *) % 0.88/1.14 assert (zenon_L567_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (ndr1_0) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H183 zenon_H182 zenon_H181 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hf3 zenon_Hef zenon_H3c zenon_H3a zenon_H3b zenon_H12 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1a9 zenon_H1ab. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.14 apply (zenon_L117_); trivial. % 0.88/1.14 apply (zenon_L566_); trivial. % 0.88/1.14 (* end of lemma zenon_L567_ *) % 0.88/1.14 assert (zenon_L568_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (ndr1_0) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp18)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H183 zenon_H182 zenon_H181 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hf3 zenon_H3c zenon_H3a zenon_H3b zenon_H12 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1a9 zenon_H1ab zenon_H54 zenon_H52 zenon_H2cb zenon_H74 zenon_H80 zenon_H92. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L567_); trivial. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 0.88/1.14 apply (zenon_L457_); trivial. % 0.88/1.14 apply (zenon_L133_); trivial. % 0.88/1.14 apply (zenon_L119_); trivial. % 0.88/1.14 (* end of lemma zenon_L568_ *) % 0.88/1.14 assert (zenon_L569_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.14 do 0 intro. intros zenon_H91 zenon_H136 zenon_H12e zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H183 zenon_H182 zenon_H181 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hf3 zenon_H3c zenon_H3a zenon_H3b zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1a9 zenon_H1ab zenon_H2cb zenon_H8d zenon_H8f zenon_H92. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.14 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.14 apply (zenon_L567_); trivial. % 0.88/1.14 apply (zenon_L493_); trivial. % 0.88/1.14 apply (zenon_L77_); trivial. % 0.88/1.14 (* end of lemma zenon_L569_ *) % 0.88/1.14 assert (zenon_L570_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H195 zenon_H95 zenon_H12e zenon_H8d zenon_H8f zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_H1ab zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H3b zenon_H3a zenon_H3c zenon_Hf3 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12b zenon_H1af zenon_H136. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.15 apply (zenon_L568_); trivial. % 0.88/1.15 apply (zenon_L569_); trivial. % 0.88/1.15 (* end of lemma zenon_L570_ *) % 0.88/1.15 assert (zenon_L571_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H97 zenon_H194 zenon_H95 zenon_H12e zenon_H8d zenon_H8f zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_H1ab zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12b zenon_H1af zenon_H136 zenon_H17c zenon_H3 zenon_H56 zenon_H58 zenon_H21. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.15 apply (zenon_L164_); trivial. % 0.88/1.15 apply (zenon_L570_); trivial. % 0.88/1.15 (* end of lemma zenon_L571_ *) % 0.88/1.15 assert (zenon_L572_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp12)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H96 zenon_H194 zenon_H95 zenon_H12e zenon_H8f zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_H1ab zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H34 zenon_H1e8 zenon_H132 zenon_H10c zenon_H12b zenon_H1af zenon_H136 zenon_H17c zenon_H3 zenon_Hf zenon_Hd zenon_H38 zenon_Hc4 zenon_H8d zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.15 apply (zenon_L454_); trivial. % 0.88/1.15 apply (zenon_L571_); trivial. % 0.88/1.15 (* end of lemma zenon_L572_ *) % 0.88/1.15 assert (zenon_L573_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp1)) -> (~(hskp16)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H21 zenon_H58 zenon_H56 zenon_H9b zenon_H9c zenon_H9d zenon_H5 zenon_Ha9 zenon_Hab zenon_H3 zenon_H17d zenon_H17c. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.15 apply (zenon_L102_); trivial. % 0.88/1.15 apply (zenon_L42_); trivial. % 0.88/1.15 (* end of lemma zenon_L573_ *) % 0.88/1.15 assert (zenon_L574_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (ndr1_0) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(c0_1 (a1199))) -> (~(c3_1 (a1199))) -> (c2_1 (a1199)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H92 zenon_He3 zenon_Hab zenon_Ha9 zenon_H5 zenon_H56 zenon_H58 zenon_H9d zenon_H9c zenon_H9b zenon_H1ab zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H12 zenon_H3b zenon_H3a zenon_H3c zenon_Hef zenon_Hf3 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H181 zenon_H182 zenon_H183 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.15 apply (zenon_L567_); trivial. % 0.88/1.15 apply (zenon_L211_); trivial. % 0.88/1.15 (* end of lemma zenon_L574_ *) % 0.88/1.15 assert (zenon_L575_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H195 zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hf3 zenon_H3c zenon_H3a zenon_H3b zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1a9 zenon_H1ab zenon_H9b zenon_H9c zenon_H9d zenon_H58 zenon_H56 zenon_H5 zenon_Ha9 zenon_Hab zenon_He3 zenon_H92. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.15 apply (zenon_L574_); trivial. % 0.88/1.15 apply (zenon_L119_); trivial. % 0.88/1.15 (* end of lemma zenon_L575_ *) % 0.88/1.15 assert (zenon_L576_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp1)) -> (~(hskp16)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H21 zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_Hb0 zenon_Haf zenon_Hae zenon_H9d zenon_H9c zenon_H9b zenon_H56 zenon_H58 zenon_H3 zenon_H17d zenon_H17c. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.15 apply (zenon_L102_); trivial. % 0.88/1.15 apply (zenon_L47_); trivial. % 0.88/1.15 (* end of lemma zenon_L576_ *) % 0.88/1.15 assert (zenon_L577_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp14)) -> (~(c3_1 (a1195))) -> (~(c1_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp22)) -> (~(hskp2)) -> False). % 0.88/1.15 do 0 intro. intros zenon_H12d zenon_H1e8 zenon_H5 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1cf zenon_H183 zenon_H182 zenon_H181 zenon_H34 zenon_H31 zenon_Hd. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.15 apply (zenon_L141_); trivial. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.15 apply (zenon_L104_); trivial. % 0.88/1.15 apply (zenon_L147_); trivial. % 0.88/1.15 (* end of lemma zenon_L577_ *) % 0.88/1.15 assert (zenon_L578_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (~(c3_1 (a1195))) -> (~(c1_1 (a1195))) -> (c2_1 (a1195)) -> (~(hskp22)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H183 zenon_H182 zenon_H181 zenon_Haf zenon_Hae zenon_Hb0 zenon_H31 zenon_H5 zenon_H1cf zenon_H12 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.15 apply (zenon_L565_); trivial. % 0.88/1.15 apply (zenon_L577_); trivial. % 0.88/1.15 (* end of lemma zenon_L578_ *) % 0.88/1.15 assert (zenon_L579_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1195)) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H195 zenon_H92 zenon_He3 zenon_H2cb zenon_H9d zenon_H9c zenon_H9b zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1cf zenon_H5 zenon_Hb0 zenon_Hae zenon_Haf zenon_H34 zenon_Hd zenon_H1e8 zenon_H132. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.15 apply (zenon_L578_); trivial. % 0.88/1.15 apply (zenon_L486_); trivial. % 0.88/1.15 (* end of lemma zenon_L579_ *) % 0.88/1.15 assert (zenon_L580_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_Hca zenon_H194 zenon_H92 zenon_He3 zenon_H2cb zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1cf zenon_H5 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H17c zenon_H3 zenon_H58 zenon_H56 zenon_H9b zenon_H9c zenon_H9d zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_H21. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.15 apply (zenon_L576_); trivial. % 0.88/1.15 apply (zenon_L579_); trivial. % 0.88/1.15 (* end of lemma zenon_L580_ *) % 0.88/1.15 assert (zenon_L581_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> (~(hskp23)) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp1)) -> False). % 0.88/1.15 do 0 intro. intros zenon_H2e0 zenon_H9b zenon_H9c zenon_H9d zenon_Hf1 zenon_Hef zenon_H12 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H3. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H2e1 ]. % 0.88/1.15 apply (zenon_L238_); trivial. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2dc | zenon_intro zenon_H4 ]. % 0.88/1.15 apply (zenon_L529_); trivial. % 0.88/1.15 exact (zenon_H3 zenon_H4). % 0.88/1.15 (* end of lemma zenon_L581_ *) % 0.88/1.15 assert (zenon_L582_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H107 zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.15 apply (zenon_L565_); trivial. % 0.88/1.15 apply (zenon_L496_); trivial. % 0.88/1.15 (* end of lemma zenon_L582_ *) % 0.88/1.15 assert (zenon_L583_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (ndr1_0) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_Hf3 zenon_Hef zenon_H9d zenon_H9c zenon_H9b zenon_H12 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.15 apply (zenon_L581_); trivial. % 0.88/1.15 apply (zenon_L582_); trivial. % 0.88/1.15 (* end of lemma zenon_L583_ *) % 0.88/1.15 assert (zenon_L584_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (ndr1_0) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H92 zenon_He3 zenon_H3a zenon_H3b zenon_H3c zenon_H56 zenon_H58 zenon_H2e0 zenon_H3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H12 zenon_H9b zenon_H9c zenon_H9d zenon_Hef zenon_Hf3 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hda zenon_Hd8 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.15 apply (zenon_L583_); trivial. % 0.88/1.15 apply (zenon_L56_); trivial. % 0.88/1.15 (* end of lemma zenon_L584_ *) % 0.88/1.15 assert (zenon_L585_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a1192)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_Hdd zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Hd8 zenon_Hda zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_Hf3 zenon_H9d zenon_H9c zenon_H9b zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0 zenon_H58 zenon_H56 zenon_H3c zenon_H3b zenon_H3a zenon_He3 zenon_H92. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.15 apply (zenon_L584_); trivial. % 0.88/1.15 apply (zenon_L119_); trivial. % 0.88/1.15 (* end of lemma zenon_L585_ *) % 0.88/1.15 assert (zenon_L586_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H175 zenon_H96 zenon_H2e0 zenon_H194 zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hf3 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1a9 zenon_H1ab zenon_He3 zenon_H92 zenon_H17c zenon_H3 zenon_H1cf zenon_H2cb zenon_Hcd zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_Hf zenon_Hd zenon_Hab zenon_H56 zenon_H58 zenon_H21 zenon_Hd8 zenon_Hda zenon_Hdc. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.15 apply (zenon_L53_); trivial. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.15 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.15 apply (zenon_L573_); trivial. % 0.88/1.15 apply (zenon_L575_); trivial. % 0.88/1.15 apply (zenon_L580_); trivial. % 0.88/1.15 apply (zenon_L585_); trivial. % 0.88/1.15 (* end of lemma zenon_L586_ *) % 0.88/1.15 assert (zenon_L587_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H21 zenon_H248 zenon_H58 zenon_H56 zenon_H24 zenon_H22 zenon_H238 zenon_H8d zenon_Hc4 zenon_H38 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H12 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.15 apply (zenon_L490_); trivial. % 0.88/1.15 apply (zenon_L297_); trivial. % 0.88/1.15 (* end of lemma zenon_L587_ *) % 0.88/1.15 assert (zenon_L588_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(hskp17)) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c2_1 (a1182)) -> (c3_1 (a1182)) -> (c1_1 (a1182)) -> False). % 0.88/1.15 do 0 intro. intros zenon_H192 zenon_H9 zenon_Hae zenon_Haf zenon_Hb0 zenon_H143 zenon_H13a zenon_H139 zenon_H138 zenon_H12 zenon_H1e5 zenon_H113 zenon_H114 zenon_H115. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H180 | zenon_intro zenon_H193 ]. % 0.88/1.15 apply (zenon_L217_); trivial. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H137 | zenon_intro zenon_H6a ]. % 0.88/1.15 apply (zenon_L79_); trivial. % 0.88/1.15 apply (zenon_L364_); trivial. % 0.88/1.15 (* end of lemma zenon_L588_ *) % 0.88/1.15 assert (zenon_L589_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(hskp17)) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H12d zenon_H1e8 zenon_H192 zenon_H9 zenon_Hae zenon_Haf zenon_Hb0 zenon_H143 zenon_H13a zenon_H139 zenon_H138. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.15 apply (zenon_L215_); trivial. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.15 apply (zenon_L217_); trivial. % 0.88/1.15 apply (zenon_L588_); trivial. % 0.88/1.15 (* end of lemma zenon_L589_ *) % 0.88/1.15 assert (zenon_L590_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp17)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H132 zenon_H1e8 zenon_H192 zenon_Hae zenon_Haf zenon_Hb0 zenon_H138 zenon_H139 zenon_H13a zenon_H9 zenon_H143 zenon_H12 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.15 apply (zenon_L565_); trivial. % 0.88/1.15 apply (zenon_L589_); trivial. % 0.88/1.15 (* end of lemma zenon_L590_ *) % 0.88/1.15 assert (zenon_L591_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_Hca zenon_H21 zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_H9d zenon_H9c zenon_H9b zenon_H56 zenon_H58 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H13a zenon_H139 zenon_H138 zenon_H192 zenon_H1e8 zenon_H132. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.15 apply (zenon_L590_); trivial. % 0.88/1.15 apply (zenon_L47_); trivial. % 0.88/1.15 (* end of lemma zenon_L591_ *) % 0.88/1.15 assert (zenon_L592_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_Hcd zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H192 zenon_H1e8 zenon_H132 zenon_H92 zenon_He3 zenon_Hab zenon_H5 zenon_H56 zenon_H58 zenon_H9d zenon_H9c zenon_H9b zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H141 zenon_H21. % 0.88/1.15 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.15 apply (zenon_L213_); trivial. % 0.88/1.15 apply (zenon_L591_); trivial. % 0.88/1.15 (* end of lemma zenon_L592_ *) % 0.88/1.15 assert (zenon_L593_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H175 zenon_Hdc zenon_Hda zenon_Hd8 zenon_H2cb zenon_H21 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H58 zenon_H56 zenon_Hab zenon_He3 zenon_H92 zenon_H132 zenon_H1e8 zenon_H192 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_Hcd. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.15 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.15 apply (zenon_L592_); trivial. % 0.88/1.15 apply (zenon_L504_); trivial. % 0.88/1.15 (* end of lemma zenon_L593_ *) % 0.88/1.15 assert (zenon_L594_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H145 zenon_H174 zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_He3 zenon_H132 zenon_H1e8 zenon_H192 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_Hc8 zenon_Hc7 zenon_Hcd zenon_H92 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H141 zenon_H38 zenon_Hc4 zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.15 apply (zenon_L587_); trivial. % 0.88/1.15 apply (zenon_L593_); trivial. % 0.88/1.15 (* end of lemma zenon_L594_ *) % 0.88/1.15 assert (zenon_L595_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H15a zenon_H192 zenon_H143 zenon_H141 zenon_H96 zenon_H194 zenon_H95 zenon_H12e zenon_H8f zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_H1ab zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H34 zenon_H1e8 zenon_H132 zenon_H10c zenon_H1af zenon_H136 zenon_H17c zenon_H3 zenon_Hf zenon_Hd zenon_H38 zenon_Hc4 zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21 zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_Hc8 zenon_Hc7 zenon_Hcd zenon_H1cf zenon_He3 zenon_H2e0 zenon_H174. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.15 apply (zenon_L572_); trivial. % 0.88/1.15 apply (zenon_L586_); trivial. % 0.88/1.15 apply (zenon_L594_); trivial. % 0.88/1.15 (* end of lemma zenon_L595_ *) % 0.88/1.15 assert (zenon_L596_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> (~(c0_1 (a1199))) -> (~(c3_1 (a1199))) -> (c2_1 (a1199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H7f zenon_H10c zenon_H132 zenon_H181 zenon_H182 zenon_H183 zenon_H74 zenon_H1e8 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.15 apply (zenon_L530_); trivial. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.15 apply (zenon_L565_); trivial. % 0.88/1.15 apply (zenon_L509_); trivial. % 0.88/1.15 (* end of lemma zenon_L596_ *) % 0.88/1.15 assert (zenon_L597_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> (ndr1_0) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (~(c0_1 (a1199))) -> (~(c3_1 (a1199))) -> (c2_1 (a1199)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H92 zenon_H74 zenon_H2e0 zenon_H3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hef zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H12 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H181 zenon_H182 zenon_H183 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.15 apply (zenon_L530_); trivial. % 0.88/1.15 apply (zenon_L566_); trivial. % 0.88/1.15 apply (zenon_L596_); trivial. % 0.88/1.15 (* end of lemma zenon_L597_ *) % 0.88/1.15 assert (zenon_L598_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H195 zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0 zenon_H74 zenon_H92. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.15 apply (zenon_L597_); trivial. % 0.88/1.15 apply (zenon_L119_); trivial. % 0.88/1.15 (* end of lemma zenon_L598_ *) % 0.88/1.15 assert (zenon_L599_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H97 zenon_H194 zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2e0 zenon_H74 zenon_H92 zenon_H17c zenon_H3 zenon_H56 zenon_H58 zenon_H21. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.15 apply (zenon_L164_); trivial. % 0.88/1.15 apply (zenon_L598_); trivial. % 0.88/1.15 (* end of lemma zenon_L599_ *) % 0.88/1.15 assert (zenon_L600_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(c0_1 (a1199))) -> (~(c3_1 (a1199))) -> (c2_1 (a1199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (ndr1_0) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H92 zenon_H181 zenon_H182 zenon_H183 zenon_H74 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H2e0 zenon_H3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H12 zenon_H9b zenon_H9c zenon_H9d zenon_Hef zenon_Hf3 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hda zenon_Hd8 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.15 apply (zenon_L583_); trivial. % 0.88/1.15 apply (zenon_L596_); trivial. % 0.88/1.15 (* end of lemma zenon_L600_ *) % 0.88/1.15 assert (zenon_L601_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_Hdd zenon_H194 zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2e0 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H74 zenon_H92 zenon_H17c zenon_H3 zenon_H58 zenon_H56 zenon_H9d zenon_H9c zenon_H9b zenon_Hd8 zenon_Hda zenon_H21. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.15 apply (zenon_L266_); trivial. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.15 apply (zenon_L600_); trivial. % 0.88/1.15 apply (zenon_L119_); trivial. % 0.88/1.15 (* end of lemma zenon_L601_ *) % 0.88/1.15 assert (zenon_L602_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H175 zenon_H96 zenon_Hcd zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_Hf zenon_Hd zenon_Hab zenon_H56 zenon_H58 zenon_H21 zenon_Hda zenon_Hd8 zenon_H3 zenon_H17c zenon_H92 zenon_H74 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H2e0 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H34 zenon_H1e8 zenon_H132 zenon_H10c zenon_H12b zenon_H1af zenon_H136 zenon_H194 zenon_Hdc. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.15 apply (zenon_L49_); trivial. % 0.88/1.15 apply (zenon_L601_); trivial. % 0.88/1.15 apply (zenon_L599_); trivial. % 0.88/1.15 (* end of lemma zenon_L602_ *) % 0.88/1.15 assert (zenon_L603_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H145 zenon_H174 zenon_H222 zenon_H2d7 zenon_H92 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H141 zenon_H38 zenon_Hc4 zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.15 apply (zenon_L587_); trivial. % 0.88/1.15 apply (zenon_L552_); trivial. % 0.88/1.15 (* end of lemma zenon_L603_ *) % 0.88/1.15 assert (zenon_L604_ : ((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H1c5 zenon_H15a zenon_H222 zenon_H2d7 zenon_H2cb zenon_H143 zenon_H141 zenon_H96 zenon_H194 zenon_H136 zenon_H1af zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2e0 zenon_H74 zenon_H92 zenon_H17c zenon_H3 zenon_Hf zenon_Hd zenon_H38 zenon_Hc4 zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21 zenon_Hdc zenon_Hd8 zenon_Hda zenon_Hab zenon_Hc8 zenon_Hc7 zenon_Hcd zenon_H174. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.15 apply (zenon_L454_); trivial. % 0.88/1.15 apply (zenon_L599_); trivial. % 0.88/1.15 apply (zenon_L602_); trivial. % 0.88/1.15 apply (zenon_L603_); trivial. % 0.88/1.15 (* end of lemma zenon_L604_ *) % 0.88/1.15 assert (zenon_L605_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp23)) -> (~(hskp19)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H132 zenon_H58 zenon_H56 zenon_Hc4 zenon_H16 zenon_H15 zenon_H14 zenon_Hf3 zenon_Hf1 zenon_Hef zenon_He6 zenon_He7 zenon_He8 zenon_H288 zenon_H12 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.15 apply (zenon_L565_); trivial. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H83 | zenon_intro zenon_H289 ]. % 0.88/1.15 apply (zenon_L469_); trivial. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H164 | zenon_intro zenon_H20b ]. % 0.88/1.15 apply (zenon_L284_); trivial. % 0.88/1.15 apply (zenon_L208_); trivial. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.15 apply (zenon_L10_); trivial. % 0.88/1.15 exact (zenon_H56 zenon_H57). % 0.88/1.15 (* end of lemma zenon_L605_ *) % 0.88/1.15 assert (zenon_L606_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H107 zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.15 apply (zenon_L565_); trivial. % 0.88/1.15 apply (zenon_L465_); trivial. % 0.88/1.15 (* end of lemma zenon_L606_ *) % 0.88/1.15 assert (zenon_L607_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H12 zenon_H288 zenon_He8 zenon_He7 zenon_He6 zenon_Hef zenon_Hf3 zenon_H14 zenon_H15 zenon_H16 zenon_Hc4 zenon_H56 zenon_H58 zenon_H132. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.15 apply (zenon_L605_); trivial. % 0.88/1.15 apply (zenon_L606_); trivial. % 0.88/1.15 (* end of lemma zenon_L607_ *) % 0.88/1.15 assert (zenon_L608_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H7f zenon_H132 zenon_H8f zenon_H8d zenon_H2cb zenon_H14 zenon_H15 zenon_H16 zenon_Hc4 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.15 apply (zenon_L565_); trivial. % 0.88/1.15 apply (zenon_L470_); trivial. % 0.88/1.15 (* end of lemma zenon_L608_ *) % 0.88/1.15 assert (zenon_L609_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H96 zenon_H194 zenon_H95 zenon_H12e zenon_H80 zenon_H74 zenon_H54 zenon_H1ab zenon_H1a9 zenon_H17c zenon_H3 zenon_Hf zenon_Hd zenon_H92 zenon_H8f zenon_H8d zenon_H2cb zenon_H132 zenon_H58 zenon_H56 zenon_Hc4 zenon_Hf3 zenon_He6 zenon_He7 zenon_He8 zenon_H288 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H2d7 zenon_H222 zenon_H34 zenon_H1e8 zenon_H10c zenon_H12b zenon_H1af zenon_H136 zenon_H21. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.15 apply (zenon_L8_); trivial. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.15 apply (zenon_L607_); trivial. % 0.88/1.15 apply (zenon_L608_); trivial. % 0.88/1.15 apply (zenon_L119_); trivial. % 0.88/1.15 apply (zenon_L571_); trivial. % 0.88/1.15 (* end of lemma zenon_L609_ *) % 0.88/1.15 assert (zenon_L610_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H21 zenon_H132 zenon_H8f zenon_H8d zenon_Hc4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H5 zenon_H2db zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H12 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.15 apply (zenon_L490_); trivial. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.15 apply (zenon_L491_); trivial. % 0.88/1.15 apply (zenon_L608_); trivial. % 0.88/1.15 (* end of lemma zenon_L610_ *) % 0.88/1.15 assert (zenon_L611_ : (forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))) -> (ndr1_0) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (c2_1 (a1174)) -> False). % 0.88/1.15 do 0 intro. intros zenon_H6a zenon_H12 zenon_H1a1 zenon_H1a2 zenon_H1d1. % 0.88/1.15 generalize (zenon_H6a (a1174)). zenon_intro zenon_H2e2. % 0.88/1.15 apply (zenon_imply_s _ _ zenon_H2e2); [ zenon_intro zenon_H11 | zenon_intro zenon_H2e3 ]. % 0.88/1.15 exact (zenon_H11 zenon_H12). % 0.88/1.15 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H2e4 ]. % 0.88/1.15 exact (zenon_H1a8 zenon_H1a1). % 0.88/1.15 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d5 ]. % 0.88/1.15 exact (zenon_H1a7 zenon_H1a2). % 0.88/1.15 exact (zenon_H1d5 zenon_H1d1). % 0.88/1.15 (* end of lemma zenon_L611_ *) % 0.88/1.15 assert (zenon_L612_ : ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1174))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp23)) -> False). % 0.88/1.15 do 0 intro. intros zenon_Hf3 zenon_H1a0 zenon_H1a2 zenon_H1a1 zenon_H6a zenon_H12 zenon_Hef zenon_Hf1. % 0.88/1.15 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf5 ]. % 0.88/1.15 generalize (zenon_H60 (a1174)). zenon_intro zenon_H28a. % 0.88/1.15 apply (zenon_imply_s _ _ zenon_H28a); [ zenon_intro zenon_H11 | zenon_intro zenon_H28b ]. % 0.88/1.15 exact (zenon_H11 zenon_H12). % 0.88/1.15 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H28c ]. % 0.88/1.15 apply (zenon_L611_); trivial. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a7 ]. % 0.88/1.15 exact (zenon_H1a0 zenon_H1a6). % 0.88/1.15 exact (zenon_H1a7 zenon_H1a2). % 0.88/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf2 ]. % 0.88/1.15 exact (zenon_Hef zenon_Hf0). % 0.88/1.15 exact (zenon_Hf1 zenon_Hf2). % 0.88/1.15 (* end of lemma zenon_L612_ *) % 0.88/1.15 assert (zenon_L613_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp23)) -> (~(hskp19)) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.88/1.15 do 0 intro. intros zenon_H58 zenon_Hf1 zenon_Hef zenon_H1a1 zenon_H1a2 zenon_H1a0 zenon_Hf3 zenon_H138 zenon_H139 zenon_H13a zenon_He6 zenon_He7 zenon_He8 zenon_H192 zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_H56. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H180 | zenon_intro zenon_H193 ]. % 0.88/1.15 apply (zenon_L396_); trivial. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H137 | zenon_intro zenon_H6a ]. % 0.88/1.15 apply (zenon_L79_); trivial. % 0.88/1.15 apply (zenon_L612_); trivial. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.15 apply (zenon_L10_); trivial. % 0.88/1.15 exact (zenon_H56 zenon_H57). % 0.88/1.15 (* end of lemma zenon_L613_ *) % 0.88/1.15 assert (zenon_L614_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(c3_1 (a1174))) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (ndr1_0) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_H192 zenon_H1a1 zenon_H1a2 zenon_H1a0 zenon_Hef zenon_Hf3 zenon_H13a zenon_H139 zenon_H138 zenon_He8 zenon_He7 zenon_He6 zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_H56 zenon_H58. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.15 apply (zenon_L613_); trivial. % 0.88/1.15 apply (zenon_L582_); trivial. % 0.88/1.15 (* end of lemma zenon_L614_ *) % 0.88/1.15 assert (zenon_L615_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (ndr1_0) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (~(c3_1 (a1174))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H92 zenon_H80 zenon_H2cb zenon_H52 zenon_H54 zenon_H58 zenon_H56 zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_He6 zenon_He7 zenon_He8 zenon_H138 zenon_H139 zenon_H13a zenon_Hf3 zenon_Hef zenon_H1a0 zenon_H1a2 zenon_H1a1 zenon_H192 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hda zenon_Hd8 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.15 apply (zenon_L614_); trivial. % 0.88/1.15 apply (zenon_L492_); trivial. % 0.88/1.15 (* end of lemma zenon_L615_ *) % 0.88/1.15 assert (zenon_L616_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H91 zenon_H136 zenon_H21a zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_H192 zenon_H1a1 zenon_H1a2 zenon_H1a0 zenon_Hf3 zenon_H13a zenon_H139 zenon_H138 zenon_He8 zenon_He7 zenon_He6 zenon_H14 zenon_H15 zenon_H16 zenon_H56 zenon_H58 zenon_H2cb zenon_H8d zenon_H8f zenon_H92. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.15 apply (zenon_L614_); trivial. % 0.88/1.15 apply (zenon_L493_); trivial. % 0.88/1.15 apply (zenon_L500_); trivial. % 0.88/1.15 (* end of lemma zenon_L616_ *) % 0.88/1.15 assert (zenon_L617_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1174))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H1d zenon_H95 zenon_H8d zenon_H8f zenon_H92 zenon_H80 zenon_H2cb zenon_H54 zenon_H58 zenon_H56 zenon_He6 zenon_He7 zenon_He8 zenon_H138 zenon_H139 zenon_H13a zenon_Hf3 zenon_H1a0 zenon_H1a2 zenon_H1a1 zenon_H192 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hda zenon_Hd8 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H21a zenon_H136. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.15 apply (zenon_L615_); trivial. % 0.88/1.15 apply (zenon_L500_); trivial. % 0.88/1.15 apply (zenon_L616_); trivial. % 0.88/1.15 (* end of lemma zenon_L617_ *) % 0.88/1.15 assert (zenon_L618_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H145 zenon_H174 zenon_H222 zenon_H2d7 zenon_Hdc zenon_H95 zenon_H80 zenon_H54 zenon_H58 zenon_H56 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_H192 zenon_Hda zenon_Hd8 zenon_H34 zenon_H1e8 zenon_H10c zenon_H21a zenon_H136 zenon_Hd zenon_Hf zenon_H92 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H141 zenon_H2db zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hc4 zenon_H8f zenon_H132 zenon_H21 zenon_H96. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.15 apply (zenon_L610_); trivial. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.15 apply (zenon_L8_); trivial. % 0.88/1.15 apply (zenon_L617_); trivial. % 0.88/1.15 apply (zenon_L83_); trivial. % 0.88/1.15 apply (zenon_L552_); trivial. % 0.88/1.15 (* end of lemma zenon_L618_ *) % 0.88/1.15 assert (zenon_L619_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H12 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.15 apply (zenon_L530_); trivial. % 0.88/1.15 apply (zenon_L606_); trivial. % 0.88/1.15 (* end of lemma zenon_L619_ *) % 0.88/1.15 assert (zenon_L620_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(hskp1)) -> (~(hskp16)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H21 zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2e0 zenon_Hc4 zenon_H2cb zenon_H8d zenon_H8f zenon_H92 zenon_H3 zenon_H17d zenon_H17c. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.15 apply (zenon_L102_); trivial. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.15 apply (zenon_L619_); trivial. % 0.88/1.15 apply (zenon_L608_); trivial. % 0.88/1.15 apply (zenon_L119_); trivial. % 0.88/1.15 (* end of lemma zenon_L620_ *) % 0.88/1.15 assert (zenon_L621_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H194 zenon_H74 zenon_H17c zenon_H3 zenon_H92 zenon_H8f zenon_H8d zenon_H2cb zenon_Hc4 zenon_H2e0 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2d7 zenon_H222 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12b zenon_H1af zenon_H136 zenon_H21. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.15 apply (zenon_L620_); trivial. % 0.88/1.15 apply (zenon_L598_); trivial. % 0.88/1.15 (* end of lemma zenon_L621_ *) % 0.88/1.15 assert (zenon_L622_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H12 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.15 apply (zenon_L530_); trivial. % 0.88/1.15 apply (zenon_L582_); trivial. % 0.88/1.15 (* end of lemma zenon_L622_ *) % 0.88/1.15 assert (zenon_L623_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> (ndr1_0) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H92 zenon_H80 zenon_H58 zenon_H56 zenon_H16 zenon_H15 zenon_H14 zenon_He6 zenon_He7 zenon_He8 zenon_H138 zenon_H139 zenon_H13a zenon_H192 zenon_H2cb zenon_H52 zenon_H54 zenon_H2e0 zenon_H3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hef zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H12 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hda zenon_Hd8 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.15 apply (zenon_L622_); trivial. % 0.88/1.15 apply (zenon_L492_); trivial. % 0.88/1.15 (* end of lemma zenon_L623_ *) % 0.88/1.15 assert (zenon_L624_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H91 zenon_H136 zenon_H21a zenon_He6 zenon_He7 zenon_He8 zenon_H56 zenon_H58 zenon_H14 zenon_H15 zenon_H16 zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0 zenon_H2cb zenon_H8d zenon_H8f zenon_H92. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.15 apply (zenon_L622_); trivial. % 0.88/1.15 apply (zenon_L493_); trivial. % 0.88/1.15 apply (zenon_L500_); trivial. % 0.88/1.15 (* end of lemma zenon_L624_ *) % 0.88/1.15 assert (zenon_L625_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H145 zenon_H174 zenon_Hab zenon_He3 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_Hcd zenon_H21 zenon_H95 zenon_H8f zenon_H2db zenon_H54 zenon_H192 zenon_He8 zenon_He7 zenon_He6 zenon_H56 zenon_H58 zenon_H80 zenon_H141 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92 zenon_H136 zenon_H21a zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Hd8 zenon_Hda zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H3 zenon_H2e0 zenon_Hdc. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.15 apply (zenon_L495_); trivial. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.15 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.15 apply (zenon_L490_); trivial. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.15 apply (zenon_L623_); trivial. % 0.88/1.15 apply (zenon_L500_); trivial. % 0.88/1.15 apply (zenon_L624_); trivial. % 0.88/1.15 apply (zenon_L505_); trivial. % 0.88/1.15 (* end of lemma zenon_L625_ *) % 0.88/1.15 assert (zenon_L626_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> False). % 0.88/1.15 do 0 intro. intros zenon_H107 zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H5 zenon_Ha9 zenon_Hab zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.15 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.15 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.15 apply (zenon_L565_); trivial. % 0.88/1.15 apply (zenon_L352_); trivial. % 0.88/1.15 (* end of lemma zenon_L626_ *) % 0.88/1.15 assert (zenon_L627_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H5 zenon_Ha9 zenon_Hab zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H12 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.16 apply (zenon_L530_); trivial. % 0.88/1.16 apply (zenon_L626_); trivial. % 0.88/1.16 (* end of lemma zenon_L627_ *) % 0.88/1.16 assert (zenon_L628_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H194 zenon_H74 zenon_H17c zenon_H3 zenon_H92 zenon_H8f zenon_H8d zenon_H2cb zenon_Hc4 zenon_H2e0 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hab zenon_Ha9 zenon_H5 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12b zenon_H1af zenon_H136 zenon_H21. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.16 apply (zenon_L102_); trivial. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.16 apply (zenon_L627_); trivial. % 0.88/1.16 apply (zenon_L608_); trivial. % 0.88/1.16 apply (zenon_L119_); trivial. % 0.88/1.16 apply (zenon_L598_); trivial. % 0.88/1.16 (* end of lemma zenon_L628_ *) % 0.88/1.16 assert (zenon_L629_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp22)) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H107 zenon_H132 zenon_H1e8 zenon_H34 zenon_Hd zenon_H31 zenon_Haf zenon_Hb0 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.16 apply (zenon_L565_); trivial. % 0.88/1.16 apply (zenon_L526_); trivial. % 0.88/1.16 (* end of lemma zenon_L629_ *) % 0.88/1.16 assert (zenon_L630_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp22)) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_Hd zenon_H31 zenon_Haf zenon_Hb0 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H12 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.16 apply (zenon_L530_); trivial. % 0.88/1.16 apply (zenon_L629_); trivial. % 0.88/1.16 (* end of lemma zenon_L630_ *) % 0.88/1.16 assert (zenon_L631_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c3_1 (a1195))) -> (~(c1_1 (a1195))) -> (c2_1 (a1195)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H195 zenon_H136 zenon_H1af zenon_H12b zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Haf zenon_Hae zenon_Hb0 zenon_H5 zenon_H1cf zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H2e0 zenon_H3 zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H74 zenon_H10c zenon_H92. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.16 apply (zenon_L578_); trivial. % 0.88/1.16 apply (zenon_L596_); trivial. % 0.88/1.16 apply (zenon_L119_); trivial. % 0.88/1.16 (* end of lemma zenon_L631_ *) % 0.88/1.16 assert (zenon_L632_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_Hdd zenon_H194 zenon_H74 zenon_H17c zenon_H3 zenon_H92 zenon_H8f zenon_H8d zenon_H2cb zenon_Hc4 zenon_H2e0 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hda zenon_Hd8 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12b zenon_H1af zenon_H136 zenon_H21. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.16 apply (zenon_L102_); trivial. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.16 apply (zenon_L622_); trivial. % 0.88/1.16 apply (zenon_L608_); trivial. % 0.88/1.16 apply (zenon_L119_); trivial. % 0.88/1.16 apply (zenon_L598_); trivial. % 0.88/1.16 (* end of lemma zenon_L632_ *) % 0.88/1.16 assert (zenon_L633_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H174 zenon_H96 zenon_Hc7 zenon_Hc8 zenon_Hf zenon_H56 zenon_H58 zenon_Hcd zenon_H1cf zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H21 zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Hab zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2e0 zenon_Hc4 zenon_H2cb zenon_H8f zenon_H92 zenon_H3 zenon_H17c zenon_H74 zenon_H194 zenon_Hd8 zenon_Hda zenon_Hdc. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.16 apply (zenon_L628_); trivial. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.16 apply (zenon_L102_); trivial. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.16 apply (zenon_L630_); trivial. % 0.88/1.16 apply (zenon_L608_); trivial. % 0.88/1.16 apply (zenon_L119_); trivial. % 0.88/1.16 apply (zenon_L631_); trivial. % 0.88/1.16 apply (zenon_L632_); trivial. % 0.88/1.16 apply (zenon_L602_); trivial. % 0.88/1.16 (* end of lemma zenon_L633_ *) % 0.88/1.16 assert (zenon_L634_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H145 zenon_H174 zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_He3 zenon_Hc8 zenon_Hc7 zenon_Hcd zenon_H92 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H141 zenon_H38 zenon_Hc4 zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.16 apply (zenon_L587_); trivial. % 0.88/1.16 apply (zenon_L505_); trivial. % 0.88/1.16 (* end of lemma zenon_L634_ *) % 0.88/1.16 assert (zenon_L635_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H5 zenon_Ha9 zenon_Hab zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H12 zenon_H288 zenon_He8 zenon_He7 zenon_He6 zenon_Hef zenon_Hf3 zenon_H14 zenon_H15 zenon_H16 zenon_Hc4 zenon_H56 zenon_H58 zenon_H132. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.16 apply (zenon_L605_); trivial. % 0.88/1.16 apply (zenon_L626_); trivial. % 0.88/1.16 (* end of lemma zenon_L635_ *) % 0.88/1.16 assert (zenon_L636_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp22)) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H34 zenon_Hd zenon_H31 zenon_Haf zenon_Hb0 zenon_H266 zenon_H267 zenon_H268 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H12 zenon_H288 zenon_He8 zenon_He7 zenon_He6 zenon_Hef zenon_Hf3 zenon_H14 zenon_H15 zenon_H16 zenon_Hc4 zenon_H56 zenon_H58 zenon_H132. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.16 apply (zenon_L605_); trivial. % 0.88/1.16 apply (zenon_L629_); trivial. % 0.88/1.16 (* end of lemma zenon_L636_ *) % 0.88/1.16 assert (zenon_L637_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H12 zenon_H288 zenon_He8 zenon_He7 zenon_He6 zenon_Hef zenon_Hf3 zenon_H14 zenon_H15 zenon_H16 zenon_Hc4 zenon_H56 zenon_H58 zenon_H132. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.16 apply (zenon_L605_); trivial. % 0.88/1.16 apply (zenon_L582_); trivial. % 0.88/1.16 (* end of lemma zenon_L637_ *) % 0.88/1.16 assert (zenon_L638_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1174))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H1d zenon_H95 zenon_H8d zenon_H8f zenon_H92 zenon_H80 zenon_H2cb zenon_H54 zenon_H58 zenon_H56 zenon_He6 zenon_He7 zenon_He8 zenon_H138 zenon_H139 zenon_H13a zenon_Hf3 zenon_H1a0 zenon_H1a2 zenon_H1a1 zenon_H192 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hda zenon_Hd8 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H136. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.16 apply (zenon_L615_); trivial. % 0.88/1.16 apply (zenon_L533_); trivial. % 0.88/1.16 apply (zenon_L616_); trivial. % 0.88/1.16 (* end of lemma zenon_L638_ *) % 0.88/1.16 assert (zenon_L639_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H145 zenon_H174 zenon_Hab zenon_He3 zenon_Hc8 zenon_Hc7 zenon_Hcd zenon_H21 zenon_H132 zenon_H8f zenon_Hc4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H2db zenon_H141 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92 zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H10c zenon_H1e8 zenon_Hd zenon_H34 zenon_Hd8 zenon_Hda zenon_H192 zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H56 zenon_H58 zenon_H54 zenon_H80 zenon_H95 zenon_Hdc. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.16 apply (zenon_L610_); trivial. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.16 apply (zenon_L490_); trivial. % 0.88/1.16 apply (zenon_L638_); trivial. % 0.88/1.16 apply (zenon_L593_); trivial. % 0.88/1.16 (* end of lemma zenon_L639_ *) % 0.88/1.16 assert (zenon_L640_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H1d zenon_H95 zenon_H8d zenon_H8f zenon_H92 zenon_H80 zenon_H58 zenon_H56 zenon_He6 zenon_He7 zenon_He8 zenon_H138 zenon_H139 zenon_H13a zenon_H192 zenon_H2cb zenon_H54 zenon_H2e0 zenon_H3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hda zenon_Hd8 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H136. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.16 apply (zenon_L623_); trivial. % 0.88/1.16 apply (zenon_L533_); trivial. % 0.88/1.16 apply (zenon_L624_); trivial. % 0.88/1.16 (* end of lemma zenon_L640_ *) % 0.88/1.16 assert (zenon_L641_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H145 zenon_H174 zenon_Hab zenon_He3 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_Hcd zenon_Hdc zenon_H2e0 zenon_H3 zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hda zenon_Hd8 zenon_H34 zenon_H1e8 zenon_H132 zenon_H10c zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H136 zenon_Hd zenon_Hf zenon_H92 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H141 zenon_H80 zenon_H58 zenon_H56 zenon_He6 zenon_He7 zenon_He8 zenon_H192 zenon_H54 zenon_H2db zenon_H8f zenon_H95 zenon_H21 zenon_H96. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.16 apply (zenon_L495_); trivial. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.16 apply (zenon_L8_); trivial. % 0.88/1.16 apply (zenon_L640_); trivial. % 0.88/1.16 apply (zenon_L83_); trivial. % 0.88/1.16 apply (zenon_L505_); trivial. % 0.88/1.16 (* end of lemma zenon_L641_ *) % 0.88/1.16 assert (zenon_L642_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_Hca zenon_H194 zenon_H95 zenon_H12e zenon_H8d zenon_H8f zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_H1ab zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H3b zenon_H3a zenon_H3c zenon_Hf3 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12b zenon_H1af zenon_H136 zenon_H17c zenon_H3 zenon_Hc8 zenon_H15d zenon_H15c zenon_H15b zenon_Hc4 zenon_Hc7 zenon_H21. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.16 apply (zenon_L300_); trivial. % 0.88/1.16 apply (zenon_L570_); trivial. % 0.88/1.16 (* end of lemma zenon_L642_ *) % 0.88/1.16 assert (zenon_L643_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H97 zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H21 zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_H3 zenon_H17c zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hf3 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1a9 zenon_H1ab zenon_H54 zenon_H2cb zenon_H74 zenon_H80 zenon_H92 zenon_H8f zenon_H8d zenon_H12e zenon_H95 zenon_H194 zenon_Hcd. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.16 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.16 apply (zenon_L131_); trivial. % 0.88/1.16 apply (zenon_L642_); trivial. % 0.88/1.16 apply (zenon_L91_); trivial. % 0.88/1.16 (* end of lemma zenon_L643_ *) % 0.88/1.16 assert (zenon_L644_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H175 zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H21 zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_H3 zenon_H17c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H1cf zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H2cb zenon_He3 zenon_H92 zenon_H194 zenon_Hcd. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.16 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.16 apply (zenon_L131_); trivial. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.16 apply (zenon_L300_); trivial. % 0.88/1.16 apply (zenon_L579_); trivial. % 0.88/1.16 apply (zenon_L91_); trivial. % 0.88/1.16 (* end of lemma zenon_L644_ *) % 0.88/1.16 assert (zenon_L645_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_Hca zenon_H21 zenon_Hc7 zenon_Hc4 zenon_H15b zenon_H15c zenon_H15d zenon_Hc8 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H13a zenon_H139 zenon_H138 zenon_H192 zenon_H1e8 zenon_H132. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.16 apply (zenon_L590_); trivial. % 0.88/1.16 apply (zenon_L154_); trivial. % 0.88/1.16 (* end of lemma zenon_L645_ *) % 0.88/1.16 assert (zenon_L646_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> (ndr1_0) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> False). % 0.88/1.16 do 0 intro. intros zenon_Hcd zenon_H21 zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H13a zenon_H139 zenon_H138 zenon_H192 zenon_H1e8 zenon_H132 zenon_H12 zenon_H15b zenon_H15c zenon_H15d zenon_H5 zenon_Hab. % 0.88/1.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.16 apply (zenon_L131_); trivial. % 0.88/1.16 apply (zenon_L645_); trivial. % 0.88/1.16 (* end of lemma zenon_L646_ *) % 0.88/1.16 assert (zenon_L647_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H145 zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H132 zenon_H1e8 zenon_H192 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_H21 zenon_Hcd. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.16 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.16 apply (zenon_L646_); trivial. % 0.88/1.16 apply (zenon_L91_); trivial. % 0.88/1.16 (* end of lemma zenon_L647_ *) % 0.88/1.16 assert (zenon_L648_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H12 zenon_H21 zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_H3 zenon_H17c zenon_H92 zenon_H10c zenon_H74 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2e0 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1cf zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H12b zenon_H1af zenon_H136 zenon_H194 zenon_Hcd. % 0.88/1.16 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.16 apply (zenon_L131_); trivial. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.16 apply (zenon_L300_); trivial. % 0.88/1.16 apply (zenon_L631_); trivial. % 0.88/1.16 apply (zenon_L91_); trivial. % 0.88/1.16 (* end of lemma zenon_L648_ *) % 0.88/1.16 assert (zenon_L649_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp11)\/(hskp15))) -> (~(hskp11)) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H175 zenon_H96 zenon_H194 zenon_H95 zenon_H12e zenon_He3 zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_H1ab zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H34 zenon_H1e8 zenon_H132 zenon_H10c zenon_H1af zenon_H136 zenon_H17c zenon_H3 zenon_H16e zenon_H12b zenon_H167 zenon_H166 zenon_H165 zenon_Hf zenon_Hd zenon_H58 zenon_H56 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_H21 zenon_Hcd. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.16 apply (zenon_L95_); trivial. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.16 apply (zenon_L164_); trivial. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 0.88/1.16 apply (zenon_L568_); trivial. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.16 apply (zenon_L567_); trivial. % 0.88/1.16 apply (zenon_L486_); trivial. % 0.88/1.16 apply (zenon_L77_); trivial. % 0.88/1.16 (* end of lemma zenon_L649_ *) % 0.88/1.16 assert (zenon_L650_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp11)\/(hskp15))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H174 zenon_H96 zenon_H16e zenon_H167 zenon_H166 zenon_H165 zenon_Hf zenon_H58 zenon_H56 zenon_Hc8 zenon_Hc7 zenon_Hcd zenon_H21 zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2e0 zenon_Hc4 zenon_H2cb zenon_H8f zenon_H92 zenon_H3 zenon_H17c zenon_H74 zenon_H194. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.16 apply (zenon_L621_); trivial. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.16 apply (zenon_L95_); trivial. % 0.88/1.16 apply (zenon_L599_); trivial. % 0.88/1.16 (* end of lemma zenon_L650_ *) % 0.88/1.16 assert (zenon_L651_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H91 zenon_H136 zenon_H21a zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H10c zenon_H1e8 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H288 zenon_He8 zenon_He7 zenon_He6 zenon_Hf3 zenon_H14 zenon_H15 zenon_H16 zenon_Hc4 zenon_H56 zenon_H58 zenon_H132 zenon_H2cb zenon_H8d zenon_H8f zenon_H92. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.16 apply (zenon_L607_); trivial. % 0.88/1.16 apply (zenon_L493_); trivial. % 0.88/1.16 apply (zenon_L500_); trivial. % 0.88/1.16 (* end of lemma zenon_L651_ *) % 0.88/1.16 assert (zenon_L652_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c3_1 (a1202)) -> (c1_1 (a1202)) -> (~(c0_1 (a1202))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> (ndr1_0) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H92 zenon_H8f zenon_H8d zenon_H2cb zenon_H86 zenon_H85 zenon_H84 zenon_H2e0 zenon_H3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hef zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H12 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2d7 zenon_H222 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.16 apply (zenon_L619_); trivial. % 0.88/1.16 apply (zenon_L493_); trivial. % 0.88/1.16 (* end of lemma zenon_L652_ *) % 0.88/1.16 assert (zenon_L653_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H91 zenon_H136 zenon_H21a zenon_He6 zenon_He7 zenon_He8 zenon_H56 zenon_H58 zenon_H14 zenon_H15 zenon_H16 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0 zenon_H2cb zenon_H8d zenon_H8f zenon_H92. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.16 apply (zenon_L652_); trivial. % 0.88/1.16 apply (zenon_L500_); trivial. % 0.88/1.16 (* end of lemma zenon_L653_ *) % 0.88/1.16 assert (zenon_L654_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> False). % 0.88/1.16 do 0 intro. intros zenon_H12d zenon_H288 zenon_H14 zenon_H15 zenon_H16 zenon_Hc4 zenon_H167 zenon_H166 zenon_H165 zenon_H266 zenon_H267 zenon_H268. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H83 | zenon_intro zenon_H289 ]. % 0.88/1.16 apply (zenon_L469_); trivial. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H164 | zenon_intro zenon_H20b ]. % 0.88/1.16 apply (zenon_L93_); trivial. % 0.88/1.16 apply (zenon_L232_); trivial. % 0.88/1.16 (* end of lemma zenon_L654_ *) % 0.88/1.16 assert (zenon_L655_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H1d zenon_H132 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H167 zenon_H166 zenon_H165 zenon_Hc4 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.16 apply (zenon_L565_); trivial. % 0.88/1.16 apply (zenon_L654_); trivial. % 0.88/1.16 (* end of lemma zenon_L655_ *) % 0.88/1.16 assert (zenon_L656_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H132 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H167 zenon_H166 zenon_H165 zenon_H31 zenon_Hd zenon_H34 zenon_H12 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 0.88/1.16 apply (zenon_L565_); trivial. % 0.88/1.16 apply (zenon_L558_); trivial. % 0.88/1.16 (* end of lemma zenon_L656_ *) % 0.88/1.16 assert (zenon_L657_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H175 zenon_H92 zenon_He3 zenon_H2cb zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H34 zenon_Hd zenon_H165 zenon_H166 zenon_H167 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_H132. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.16 apply (zenon_L656_); trivial. % 0.88/1.16 apply (zenon_L486_); trivial. % 0.88/1.16 (* end of lemma zenon_L657_ *) % 0.88/1.16 assert (zenon_L658_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H145 zenon_H21 zenon_H132 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H167 zenon_H166 zenon_H165 zenon_Hc4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H141 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.16 apply (zenon_L490_); trivial. % 0.88/1.16 apply (zenon_L655_); trivial. % 0.88/1.16 (* end of lemma zenon_L658_ *) % 0.88/1.16 assert (zenon_L659_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(hskp1)) -> (~(hskp16)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H21 zenon_H132 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H167 zenon_H166 zenon_H165 zenon_Hc4 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H3 zenon_H17d zenon_H17c. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.16 apply (zenon_L102_); trivial. % 0.88/1.16 apply (zenon_L655_); trivial. % 0.88/1.16 (* end of lemma zenon_L659_ *) % 0.88/1.16 assert (zenon_L660_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp11)\/(hskp15))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (ndr1_0) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.16 do 0 intro. intros zenon_H15a zenon_H141 zenon_H143 zenon_H96 zenon_H194 zenon_H95 zenon_H12e zenon_H8f zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_H1ab zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H34 zenon_H1e8 zenon_H132 zenon_H10c zenon_H1af zenon_H136 zenon_H17c zenon_H3 zenon_H16e zenon_H167 zenon_H166 zenon_H165 zenon_H12 zenon_Hf zenon_Hd zenon_Hc8 zenon_H15d zenon_H15c zenon_H15b zenon_Hc4 zenon_Hc7 zenon_H21 zenon_Hcd zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_He3 zenon_H174. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.16 apply (zenon_L156_); trivial. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.16 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.16 apply (zenon_L94_); trivial. % 0.88/1.16 apply (zenon_L642_); trivial. % 0.88/1.16 apply (zenon_L657_); trivial. % 0.88/1.16 apply (zenon_L658_); trivial. % 0.88/1.16 (* end of lemma zenon_L660_ *) % 0.88/1.16 assert (zenon_L661_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> (ndr1_0) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp11)\/(hskp15))) -> False). % 0.88/1.16 do 0 intro. intros zenon_Hcd zenon_H194 zenon_H136 zenon_H1af zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2e0 zenon_H74 zenon_H92 zenon_H17c zenon_H3 zenon_Hc8 zenon_H15d zenon_H15c zenon_H15b zenon_Hc4 zenon_Hc7 zenon_H21 zenon_H12 zenon_H165 zenon_H166 zenon_H167 zenon_H12b zenon_H16e. % 0.88/1.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.16 apply (zenon_L94_); trivial. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.16 apply (zenon_L300_); trivial. % 0.88/1.16 apply (zenon_L598_); trivial. % 0.88/1.16 (* end of lemma zenon_L661_ *) % 0.88/1.16 assert (zenon_L662_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> (~(hskp23)) -> (~(hskp19)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c3_1 (a1207)) -> (c2_1 (a1207)) -> (~(c1_1 (a1207))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.88/1.16 do 0 intro. intros zenon_H77 zenon_Hf1 zenon_Hef zenon_H3b zenon_H3a zenon_H3c zenon_Hf3 zenon_H1fe zenon_H1ff zenon_H1fd zenon_H12 zenon_H3. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H61 | zenon_intro zenon_H7a ]. % 0.88/1.16 apply (zenon_L114_); trivial. % 0.88/1.16 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7b | zenon_intro zenon_H4 ]. % 0.88/1.16 apply (zenon_L384_); trivial. % 0.88/1.16 exact (zenon_H3 zenon_H4). % 0.88/1.16 (* end of lemma zenon_L662_ *) % 0.88/1.16 assert (zenon_L663_ : ((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H219 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H5 zenon_Ha9 zenon_Hab zenon_Hf3 zenon_Hef zenon_H3c zenon_H3a zenon_H3b zenon_H3 zenon_H77. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21b. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ff. zenon_intro zenon_H21c. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.17 apply (zenon_L662_); trivial. % 0.88/1.17 apply (zenon_L230_); trivial. % 0.88/1.17 (* end of lemma zenon_L663_ *) % 0.88/1.17 assert (zenon_L664_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1192)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> (~(hskp8)) -> (~(hskp19)) -> ((hskp8)\/((hskp21)\/(hskp19))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H21e zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H5 zenon_Ha9 zenon_Hab zenon_Hf3 zenon_H3c zenon_H3a zenon_H3b zenon_H3 zenon_H77 zenon_H22 zenon_Hef zenon_H1ee. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H1ec | zenon_intro zenon_H219 ]. % 0.88/1.17 apply (zenon_L166_); trivial. % 0.88/1.17 apply (zenon_L663_); trivial. % 0.88/1.17 (* end of lemma zenon_L664_ *) % 0.88/1.17 assert (zenon_L665_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp8)\/((hskp21)\/(hskp19))) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H195 zenon_H136 zenon_H12e zenon_H12b zenon_H21a zenon_H1ee zenon_H22 zenon_H77 zenon_H3 zenon_H3b zenon_H3a zenon_H3c zenon_Hf3 zenon_Hab zenon_Ha9 zenon_H5 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H21e. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.17 apply (zenon_L664_); trivial. % 0.88/1.17 apply (zenon_L178_); trivial. % 0.88/1.17 (* end of lemma zenon_L665_ *) % 0.88/1.17 assert (zenon_L666_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (~(c0_1 (a1172))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (ndr1_0) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (c3_1 (a1211)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> False). % 0.88/1.17 do 0 intro. intros zenon_H8f zenon_H1f2 zenon_H214 zenon_Hce zenon_H1f0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H12 zenon_H43 zenon_H45 zenon_H5b zenon_H2cb zenon_H8d. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.17 apply (zenon_L175_); trivial. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.17 apply (zenon_L456_); trivial. % 0.88/1.17 exact (zenon_H8d zenon_H8e). % 0.88/1.17 (* end of lemma zenon_L666_ *) % 0.88/1.17 assert (zenon_L667_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.17 do 0 intro. intros zenon_H7f zenon_H1e8 zenon_H8f zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2cb zenon_H8d zenon_H21a zenon_H183 zenon_H182 zenon_H181 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 0.88/1.17 apply (zenon_L666_); trivial. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.88/1.17 apply (zenon_L167_); trivial. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 0.88/1.17 apply (zenon_L456_); trivial. % 0.88/1.17 exact (zenon_H8d zenon_H8e). % 0.88/1.17 apply (zenon_L171_); trivial. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.17 apply (zenon_L104_); trivial. % 0.88/1.17 apply (zenon_L172_); trivial. % 0.88/1.17 (* end of lemma zenon_L667_ *) % 0.88/1.17 assert (zenon_L668_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1195)) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H195 zenon_H92 zenon_H8f zenon_H8d zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H21a zenon_H1cf zenon_H5 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.17 apply (zenon_L234_); trivial. % 0.88/1.17 apply (zenon_L667_); trivial. % 0.88/1.17 (* end of lemma zenon_L668_ *) % 0.88/1.17 assert (zenon_L669_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_Hca zenon_H194 zenon_H92 zenon_H8f zenon_H8d zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H21a zenon_H1cf zenon_H5 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H17c zenon_H3 zenon_H3a zenon_H3b zenon_H3c zenon_H56 zenon_H58 zenon_H21. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.17 apply (zenon_L164_); trivial. % 0.88/1.17 apply (zenon_L668_); trivial. % 0.88/1.17 (* end of lemma zenon_L669_ *) % 0.88/1.17 assert (zenon_L670_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> ((hskp8)\/((hskp21)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H174 zenon_H224 zenon_H222 zenon_Hf9 zenon_H38 zenon_H1ea zenon_H1a9 zenon_H22 zenon_H24 zenon_Hcd zenon_H92 zenon_H8f zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H1cf zenon_H21 zenon_H58 zenon_H56 zenon_H3 zenon_H17c zenon_H21e zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Hab zenon_Hf3 zenon_H77 zenon_H1ee zenon_H21a zenon_H12b zenon_H12e zenon_H136 zenon_H194 zenon_Hdc zenon_H96. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.17 apply (zenon_L163_); trivial. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.17 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.17 apply (zenon_L164_); trivial. % 0.88/1.17 apply (zenon_L665_); trivial. % 0.88/1.17 apply (zenon_L669_); trivial. % 0.88/1.17 apply (zenon_L179_); trivial. % 0.88/1.17 apply (zenon_L182_); trivial. % 0.88/1.17 (* end of lemma zenon_L670_ *) % 0.88/1.17 assert (zenon_L671_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (ndr1_0) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.17 apply (zenon_L530_); trivial. % 0.88/1.17 apply (zenon_L192_); trivial. % 0.88/1.17 (* end of lemma zenon_L671_ *) % 0.88/1.17 assert (zenon_L672_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp12)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H194 zenon_H136 zenon_H12e zenon_H12b zenon_H21a zenon_H2e0 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H17c zenon_H3 zenon_H38 zenon_Hc4 zenon_H8d zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.17 apply (zenon_L298_); trivial. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.17 apply (zenon_L671_); trivial. % 0.88/1.17 apply (zenon_L178_); trivial. % 0.88/1.17 (* end of lemma zenon_L672_ *) % 0.88/1.17 assert (zenon_L673_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H174 zenon_H224 zenon_H222 zenon_Hf9 zenon_H21 zenon_H248 zenon_H58 zenon_H56 zenon_H24 zenon_H22 zenon_H238 zenon_Hc4 zenon_H38 zenon_H3 zenon_H17c zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2e0 zenon_H21a zenon_H12b zenon_H12e zenon_H136 zenon_H194. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.17 apply (zenon_L672_); trivial. % 0.88/1.17 apply (zenon_L182_); trivial. % 0.88/1.17 (* end of lemma zenon_L673_ *) % 0.88/1.17 assert (zenon_L674_ : ((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H1c5 zenon_H15a zenon_H2d7 zenon_H92 zenon_H2cb zenon_H143 zenon_H141 zenon_H194 zenon_H136 zenon_H12e zenon_H21a zenon_H2e0 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H17c zenon_H3 zenon_H38 zenon_Hc4 zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21 zenon_Hf9 zenon_H222 zenon_H224 zenon_H174. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.17 apply (zenon_L673_); trivial. % 0.88/1.17 apply (zenon_L603_); trivial. % 0.88/1.17 (* end of lemma zenon_L674_ *) % 0.88/1.17 assert (zenon_L675_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a1180))) -> (c0_1 (a1200)) -> (~(c2_1 (a1200))) -> (~(c1_1 (a1200))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.88/1.17 do 0 intro. intros zenon_H58 zenon_He8 zenon_He7 zenon_H180 zenon_He6 zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_H56. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H39 | zenon_intro zenon_H59 ]. % 0.88/1.17 apply (zenon_L396_); trivial. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H13 | zenon_intro zenon_H57 ]. % 0.88/1.17 apply (zenon_L10_); trivial. % 0.88/1.17 exact (zenon_H56 zenon_H57). % 0.88/1.17 (* end of lemma zenon_L675_ *) % 0.88/1.17 assert (zenon_L676_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp7)) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 0.88/1.17 do 0 intro. intros zenon_H107 zenon_H1e8 zenon_H56 zenon_H14 zenon_H15 zenon_H16 zenon_He6 zenon_He7 zenon_He8 zenon_H58 zenon_H1f0 zenon_H214 zenon_H1f2. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 0.88/1.17 apply (zenon_L65_); trivial. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 0.88/1.17 apply (zenon_L675_); trivial. % 0.88/1.17 apply (zenon_L172_); trivial. % 0.88/1.17 (* end of lemma zenon_L676_ *) % 0.88/1.17 assert (zenon_L677_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (ndr1_0) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H14 zenon_H15 zenon_H16 zenon_H56 zenon_H58 zenon_H12 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.17 apply (zenon_L460_); trivial. % 0.88/1.17 apply (zenon_L676_); trivial. % 0.88/1.17 (* end of lemma zenon_L677_ *) % 0.88/1.17 assert (zenon_L678_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H1d zenon_H136 zenon_H248 zenon_H238 zenon_H8d zenon_H12b zenon_H12e zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c4 zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H58 zenon_H56 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.17 apply (zenon_L677_); trivial. % 0.88/1.17 apply (zenon_L198_); trivial. % 0.88/1.17 (* end of lemma zenon_L678_ *) % 0.88/1.17 assert (zenon_L679_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(hskp1)) -> (~(hskp16)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H21 zenon_H136 zenon_H248 zenon_H238 zenon_H8d zenon_H12b zenon_H12e zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c4 zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H58 zenon_H56 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H3 zenon_H17d zenon_H17c. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.17 apply (zenon_L102_); trivial. % 0.88/1.17 apply (zenon_L678_); trivial. % 0.88/1.17 (* end of lemma zenon_L679_ *) % 0.88/1.17 assert (zenon_L680_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (ndr1_0) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.17 apply (zenon_L460_); trivial. % 0.88/1.17 apply (zenon_L192_); trivial. % 0.88/1.17 (* end of lemma zenon_L680_ *) % 0.88/1.17 assert (zenon_L681_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(hskp1)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H174 zenon_H224 zenon_H222 zenon_H21 zenon_H136 zenon_H248 zenon_H238 zenon_H12b zenon_H12e zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c4 zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H58 zenon_H56 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H3 zenon_H17c zenon_H21a zenon_H194. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.17 apply (zenon_L679_); trivial. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.17 apply (zenon_L680_); trivial. % 0.88/1.17 apply (zenon_L178_); trivial. % 0.88/1.17 apply (zenon_L182_); trivial. % 0.88/1.17 (* end of lemma zenon_L681_ *) % 0.88/1.17 assert (zenon_L682_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_Hdc zenon_H136 zenon_H21a zenon_Hfb zenon_Hf9 zenon_Hf3 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H92 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H141 zenon_H80 zenon_H58 zenon_H56 zenon_He6 zenon_He7 zenon_He8 zenon_H192 zenon_H54 zenon_H2db zenon_H8d zenon_H8f zenon_H95 zenon_H21. % 0.88/1.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.17 apply (zenon_L495_); trivial. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.88/1.17 apply (zenon_L490_); trivial. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.17 apply (zenon_L677_); trivial. % 0.88/1.17 apply (zenon_L500_); trivial. % 0.88/1.17 (* end of lemma zenon_L682_ *) % 0.88/1.17 assert (zenon_L683_ : ((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (c0_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> (~(hskp6)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H170 zenon_H15a zenon_H2d7 zenon_H95 zenon_H8f zenon_H2db zenon_H54 zenon_H192 zenon_H80 zenon_H141 zenon_H143 zenon_H2c3 zenon_H2cb zenon_H92 zenon_Hdc zenon_H194 zenon_H21a zenon_H17c zenon_H3 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H56 zenon_H58 zenon_Hf3 zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H12e zenon_H238 zenon_H248 zenon_H136 zenon_H21 zenon_H222 zenon_H224 zenon_H174. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.88/1.17 apply (zenon_L681_); trivial. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.17 apply (zenon_L682_); trivial. % 0.88/1.17 apply (zenon_L552_); trivial. % 0.88/1.17 (* end of lemma zenon_L683_ *) % 0.88/1.17 assert (zenon_L684_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((hskp8)\/((hskp21)\/(hskp19))) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1192))) -> (~(c0_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_H1ee zenon_H22 zenon_H77 zenon_H3 zenon_H3b zenon_H3a zenon_H3c zenon_Hf3 zenon_Hab zenon_Ha9 zenon_H5 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H21e. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.17 apply (zenon_L664_); trivial. % 0.88/1.17 apply (zenon_L233_); trivial. % 0.88/1.17 (* end of lemma zenon_L684_ *) % 0.88/1.17 assert (zenon_L685_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((hskp8)\/((hskp21)\/(hskp19))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (c2_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H195 zenon_H136 zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_H1ee zenon_H22 zenon_H21a zenon_H1f0 zenon_H1f2 zenon_H8d zenon_H8f zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H214 zenon_H1e8 zenon_H21e. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.17 apply (zenon_L174_); trivial. % 0.88/1.17 apply (zenon_L233_); trivial. % 0.88/1.17 (* end of lemma zenon_L685_ *) % 0.88/1.17 assert (zenon_L686_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((hskp8)\/((hskp21)\/(hskp19))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c2_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_Hdd zenon_H194 zenon_H136 zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_H1ee zenon_H22 zenon_H21a zenon_H1f0 zenon_H1f2 zenon_H8d zenon_H8f zenon_H214 zenon_H1e8 zenon_H21e zenon_H17c zenon_H3 zenon_H3a zenon_H3b zenon_H3c zenon_H56 zenon_H58 zenon_H21. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.17 apply (zenon_L164_); trivial. % 0.88/1.17 apply (zenon_L685_); trivial. % 0.88/1.17 (* end of lemma zenon_L686_ *) % 0.88/1.17 assert (zenon_L687_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((hskp8)\/((hskp21)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((hskp28)\/(hskp8)) -> (~(hskp8)) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H96 zenon_Hdc zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_H1ee zenon_H77 zenon_H3 zenon_Hf3 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H21e zenon_H21 zenon_H58 zenon_H56 zenon_H17c zenon_H1cf zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H8d zenon_H8f zenon_H92 zenon_H194 zenon_Hcd zenon_H24 zenon_H22 zenon_H1a9 zenon_H1ea zenon_H38. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 0.88/1.17 apply (zenon_L163_); trivial. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.88/1.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.17 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.17 apply (zenon_L684_); trivial. % 0.88/1.17 apply (zenon_L669_); trivial. % 0.88/1.17 apply (zenon_L686_); trivial. % 0.88/1.17 (* end of lemma zenon_L687_ *) % 0.88/1.17 assert (zenon_L688_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (ndr1_0) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H5 zenon_Ha9 zenon_Hab zenon_Hf3 zenon_Hef zenon_H9d zenon_H9c zenon_H9b zenon_H12 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.17 apply (zenon_L581_); trivial. % 0.88/1.17 apply (zenon_L230_); trivial. % 0.88/1.17 (* end of lemma zenon_L688_ *) % 0.88/1.17 assert (zenon_L689_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_Hca zenon_H92 zenon_He3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H9d zenon_H9c zenon_H9b zenon_H1cf zenon_H5 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 0.88/1.17 apply (zenon_L234_); trivial. % 0.88/1.17 apply (zenon_L486_); trivial. % 0.88/1.17 (* end of lemma zenon_L689_ *) % 0.88/1.17 assert (zenon_L690_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (ndr1_0) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_Hcd zenon_H92 zenon_He3 zenon_H2cb zenon_H1cf zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H5 zenon_Hab zenon_Hf3 zenon_H9d zenon_H9c zenon_H9b zenon_H12 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0 zenon_H12e zenon_H12b zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H136. % 0.88/1.17 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.17 apply (zenon_L688_); trivial. % 0.88/1.17 apply (zenon_L233_); trivial. % 0.88/1.17 apply (zenon_L689_); trivial. % 0.88/1.17 (* end of lemma zenon_L690_ *) % 0.88/1.17 assert (zenon_L691_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (ndr1_0) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_Hf3 zenon_Hef zenon_H9d zenon_H9c zenon_H9b zenon_H12 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.17 apply (zenon_L581_); trivial. % 0.88/1.17 apply (zenon_L262_); trivial. % 0.88/1.17 (* end of lemma zenon_L691_ *) % 0.88/1.17 assert (zenon_L692_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H175 zenon_Hdc zenon_Hda zenon_Hd8 zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_H2e0 zenon_H3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H1cf zenon_H2cb zenon_He3 zenon_H92 zenon_Hcd. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.17 apply (zenon_L690_); trivial. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.17 apply (zenon_L691_); trivial. % 0.88/1.17 apply (zenon_L233_); trivial. % 0.88/1.17 (* end of lemma zenon_L692_ *) % 0.88/1.17 assert (zenon_L693_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H5 zenon_Ha9 zenon_Hab zenon_H12 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.17 apply (zenon_L530_); trivial. % 0.88/1.17 apply (zenon_L230_); trivial. % 0.88/1.17 (* end of lemma zenon_L693_ *) % 0.88/1.17 assert (zenon_L694_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_H2e0 zenon_H3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H12 zenon_Hab zenon_Ha9 zenon_H5 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.17 apply (zenon_L693_); trivial. % 0.88/1.17 apply (zenon_L233_); trivial. % 0.88/1.17 (* end of lemma zenon_L694_ *) % 0.88/1.17 assert (zenon_L695_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp12)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_Hca zenon_H194 zenon_H92 zenon_H8f zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H21a zenon_H1cf zenon_H5 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H17c zenon_H3 zenon_H38 zenon_Hc4 zenon_H8d zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.88/1.17 apply (zenon_L298_); trivial. % 0.88/1.17 apply (zenon_L668_); trivial. % 0.88/1.17 (* end of lemma zenon_L695_ *) % 0.88/1.17 assert (zenon_L696_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (ndr1_0) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H12 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_Hef zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 0.88/1.17 apply (zenon_L530_); trivial. % 0.88/1.17 apply (zenon_L262_); trivial. % 0.88/1.17 (* end of lemma zenon_L696_ *) % 0.88/1.17 assert (zenon_L697_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_Hdd zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_H2e0 zenon_H3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Hda zenon_Hd8 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 0.88/1.17 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.17 apply (zenon_L696_); trivial. % 0.88/1.17 apply (zenon_L233_); trivial. % 0.88/1.17 (* end of lemma zenon_L697_ *) % 0.88/1.17 assert (zenon_L698_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_Hcd zenon_H92 zenon_He3 zenon_H2cb zenon_H9d zenon_H9c zenon_H9b zenon_H1cf zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H5 zenon_Hab zenon_H12 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0 zenon_H12e zenon_H12b zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H136. % 0.88/1.17 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.17 apply (zenon_L694_); trivial. % 0.88/1.17 apply (zenon_L689_); trivial. % 0.88/1.17 (* end of lemma zenon_L698_ *) % 0.88/1.17 assert (zenon_L699_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H175 zenon_Hdc zenon_Hda zenon_Hd8 zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_H2e0 zenon_H3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H1cf zenon_H2cb zenon_He3 zenon_H92 zenon_Hcd. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.88/1.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.17 apply (zenon_L698_); trivial. % 0.88/1.17 apply (zenon_L697_); trivial. % 0.88/1.17 (* end of lemma zenon_L699_ *) % 0.88/1.17 assert (zenon_L700_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c2_1 (a1184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H174 zenon_He3 zenon_Hcd zenon_H194 zenon_H92 zenon_H8f zenon_H2cb zenon_H1cf zenon_H17c zenon_H38 zenon_Hc4 zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Hab zenon_H12 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_Hf3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0 zenon_H12e zenon_H12b zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H136 zenon_Hd8 zenon_Hda zenon_Hdc. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 0.88/1.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 0.88/1.17 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 0.88/1.17 apply (zenon_L694_); trivial. % 0.88/1.17 apply (zenon_L695_); trivial. % 0.88/1.17 apply (zenon_L697_); trivial. % 0.88/1.17 apply (zenon_L699_); trivial. % 0.88/1.17 (* end of lemma zenon_L700_ *) % 0.88/1.17 assert (zenon_L701_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 0.88/1.17 do 0 intro. intros zenon_H1d zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c4 zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H58 zenon_H56 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 0.88/1.17 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.88/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 0.88/1.17 apply (zenon_L677_); trivial. % 0.88/1.17 apply (zenon_L233_); trivial. % 0.88/1.17 (* end of lemma zenon_L701_ *) % 0.88/1.17 assert (zenon_L702_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(hskp1)) -> (~(hskp16)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H21 zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c4 zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H58 zenon_H56 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H3 zenon_H17d zenon_H17c. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.17 apply (zenon_L102_); trivial. % 1.01/1.17 apply (zenon_L701_); trivial. % 1.01/1.17 (* end of lemma zenon_L702_ *) % 1.01/1.17 assert (zenon_L703_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H194 zenon_H17c zenon_H3 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H56 zenon_H58 zenon_He6 zenon_He7 zenon_He8 zenon_Hf3 zenon_H2c4 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H12e zenon_H12b zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H136 zenon_H21. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.17 apply (zenon_L702_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.17 apply (zenon_L680_); trivial. % 1.01/1.17 apply (zenon_L233_); trivial. % 1.01/1.17 (* end of lemma zenon_L703_ *) % 1.01/1.17 assert (zenon_L704_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H133 zenon_H92 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H14 zenon_H15 zenon_H16 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H8d zenon_H8f zenon_H138 zenon_H139 zenon_H13a zenon_H5 zenon_H2db. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.17 apply (zenon_L491_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 1.01/1.17 apply (zenon_L666_); trivial. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 1.01/1.17 apply (zenon_L498_); trivial. % 1.01/1.17 apply (zenon_L232_); trivial. % 1.01/1.17 (* end of lemma zenon_L704_ *) % 1.01/1.17 assert (zenon_L705_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (c0_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H1d zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H2c3 zenon_H2cb zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c4 zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H58 zenon_H56 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.17 apply (zenon_L677_); trivial. % 1.01/1.17 apply (zenon_L533_); trivial. % 1.01/1.17 (* end of lemma zenon_L705_ *) % 1.01/1.17 assert (zenon_L706_ : ((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H1c8 zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H1cf zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_H17a zenon_H92 zenon_Hcd. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.17 apply (zenon_L131_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.17 apply (zenon_L234_); trivial. % 1.01/1.17 apply (zenon_L539_); trivial. % 1.01/1.17 apply (zenon_L91_); trivial. % 1.01/1.17 (* end of lemma zenon_L706_ *) % 1.01/1.17 assert (zenon_L707_ : ((~(hskp6))\/((ndr1_0)/\((c1_1 (a1178))/\((c2_1 (a1178))/\(~(c3_1 (a1178))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp8)\/((hskp21)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp1))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1207))/\((c3_1 (a1207))/\(~(c1_1 (a1207))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((hskp28)\/(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp13)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> (~(hskp3)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1184)))/\((~(c1_1 (a1184)))/\(~(c2_1 (a1184))))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H2e5 zenon_H17a zenon_H173 zenon_H95 zenon_H2db zenon_H54 zenon_H192 zenon_H80 zenon_Hfb zenon_H15a zenon_Hda zenon_Hd8 zenon_He3 zenon_Hc8 zenon_Hc7 zenon_H143 zenon_H141 zenon_Hc4 zenon_H238 zenon_H248 zenon_H96 zenon_Hdc zenon_H194 zenon_H136 zenon_H12e zenon_H21a zenon_H1ee zenon_H77 zenon_Hf3 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H21e zenon_H17c zenon_H3 zenon_H58 zenon_H21 zenon_H1cf zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H8f zenon_H92 zenon_Hcd zenon_H24 zenon_H1ea zenon_H38 zenon_Hf9 zenon_H224 zenon_H174 zenon_H2e0 zenon_H2d7 zenon_H1cc zenon_H1cb. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.17 apply (zenon_L670_); trivial. % 1.01/1.17 apply (zenon_L634_); trivial. % 1.01/1.17 apply (zenon_L674_); trivial. % 1.01/1.17 apply (zenon_L683_); trivial. % 1.01/1.17 apply (zenon_L519_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.17 apply (zenon_L687_); trivial. % 1.01/1.17 apply (zenon_L692_); trivial. % 1.01/1.17 apply (zenon_L634_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.17 apply (zenon_L700_); trivial. % 1.01/1.17 apply (zenon_L634_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.17 apply (zenon_L703_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.17 apply (zenon_L490_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.17 apply (zenon_L677_); trivial. % 1.01/1.17 apply (zenon_L704_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.17 apply (zenon_L490_); trivial. % 1.01/1.17 apply (zenon_L705_); trivial. % 1.01/1.17 apply (zenon_L505_); trivial. % 1.01/1.17 apply (zenon_L706_); trivial. % 1.01/1.17 (* end of lemma zenon_L707_ *) % 1.01/1.17 assert (zenon_L708_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H175 zenon_Hdc zenon_H165 zenon_H166 zenon_H167 zenon_H288 zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_H2e0 zenon_H3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H1cf zenon_H2cb zenon_He3 zenon_H92 zenon_Hcd. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 1.01/1.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.17 apply (zenon_L690_); trivial. % 1.01/1.17 apply (zenon_L282_); trivial. % 1.01/1.17 (* end of lemma zenon_L708_ *) % 1.01/1.17 assert (zenon_L709_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H175 zenon_Hdc zenon_H21a zenon_H1f0 zenon_H1f2 zenon_H165 zenon_H166 zenon_H167 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_H21 zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H58 zenon_H56 zenon_Hab zenon_He3 zenon_H92 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_Hcd. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 1.01/1.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.17 apply (zenon_L503_); trivial. % 1.01/1.17 apply (zenon_L282_); trivial. % 1.01/1.17 (* end of lemma zenon_L709_ *) % 1.01/1.17 assert (zenon_L710_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H145 zenon_H174 zenon_Hdc zenon_H21a zenon_H1f0 zenon_H1f2 zenon_H165 zenon_H166 zenon_H167 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_Hab zenon_He3 zenon_Hc8 zenon_Hc7 zenon_Hcd zenon_H92 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H141 zenon_H38 zenon_Hc4 zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.17 apply (zenon_L587_); trivial. % 1.01/1.17 apply (zenon_L709_); trivial. % 1.01/1.17 (* end of lemma zenon_L710_ *) % 1.01/1.17 assert (zenon_L711_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c2_1 (a1184))) -> (~(c1_1 (a1184))) -> (~(c0_1 (a1184))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H175 zenon_Hdc zenon_H165 zenon_H166 zenon_H167 zenon_H288 zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_H12b zenon_H12e zenon_H2e0 zenon_H3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H1cf zenon_H2cb zenon_He3 zenon_H92 zenon_Hcd. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 1.01/1.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.17 apply (zenon_L698_); trivial. % 1.01/1.17 apply (zenon_L282_); trivial. % 1.01/1.17 (* end of lemma zenon_L711_ *) % 1.01/1.17 assert (zenon_L712_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H195 zenon_H92 zenon_H1e8 zenon_H8f zenon_H8d zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H21a zenon_H165 zenon_H166 zenon_H167 zenon_H5 zenon_H1cf. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.17 apply (zenon_L132_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 1.01/1.18 apply (zenon_L666_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 1.01/1.18 apply (zenon_L281_); trivial. % 1.01/1.18 apply (zenon_L171_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 1.01/1.18 apply (zenon_L104_); trivial. % 1.01/1.18 apply (zenon_L172_); trivial. % 1.01/1.18 (* end of lemma zenon_L712_ *) % 1.01/1.18 assert (zenon_L713_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hca zenon_H194 zenon_H92 zenon_H1e8 zenon_H8f zenon_H8d zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H21a zenon_H165 zenon_H166 zenon_H167 zenon_H5 zenon_H1cf zenon_H17c zenon_H3 zenon_Hc8 zenon_H15d zenon_H15c zenon_H15b zenon_Hc4 zenon_Hc7 zenon_H21. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.18 apply (zenon_L300_); trivial. % 1.01/1.18 apply (zenon_L712_); trivial. % 1.01/1.18 (* end of lemma zenon_L713_ *) % 1.01/1.18 assert (zenon_L714_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (ndr1_0) -> (~(c1_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c3_1 (a1179))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hcd zenon_H92 zenon_He3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H9d zenon_H9c zenon_H9b zenon_H1cf zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H12 zenon_H15b zenon_H15c zenon_H15d zenon_H5 zenon_Hab. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.18 apply (zenon_L131_); trivial. % 1.01/1.18 apply (zenon_L689_); trivial. % 1.01/1.18 (* end of lemma zenon_L714_ *) % 1.01/1.18 assert (zenon_L715_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H175 zenon_Hdc zenon_H21a zenon_H165 zenon_H166 zenon_H167 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H1cf zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_He3 zenon_H92 zenon_Hcd. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.18 apply (zenon_L714_); trivial. % 1.01/1.18 apply (zenon_L282_); trivial. % 1.01/1.18 (* end of lemma zenon_L715_ *) % 1.01/1.18 assert (zenon_L716_ : ((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H1c8 zenon_H174 zenon_He3 zenon_Hcd zenon_H194 zenon_H92 zenon_H1e8 zenon_H8f zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H21a zenon_H165 zenon_H166 zenon_H167 zenon_H1cf zenon_H17c zenon_H3 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_H21 zenon_Hab zenon_Hdc. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.18 apply (zenon_L131_); trivial. % 1.01/1.18 apply (zenon_L713_); trivial. % 1.01/1.18 apply (zenon_L282_); trivial. % 1.01/1.18 apply (zenon_L715_); trivial. % 1.01/1.18 (* end of lemma zenon_L716_ *) % 1.01/1.18 assert (zenon_L717_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H195 zenon_H136 zenon_H12e zenon_H12b zenon_H288 zenon_H1e8 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H21a zenon_Hab zenon_Ha9 zenon_H5 zenon_H10c. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_L292_); trivial. % 1.01/1.18 apply (zenon_L178_); trivial. % 1.01/1.18 (* end of lemma zenon_L717_ *) % 1.01/1.18 assert (zenon_L718_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp12)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hdd zenon_H194 zenon_H136 zenon_H12e zenon_H12b zenon_H288 zenon_H214 zenon_H1e8 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H1f2 zenon_H1f0 zenon_H21a zenon_H10c zenon_H17c zenon_H3 zenon_H38 zenon_Hc4 zenon_H8d zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.18 apply (zenon_L298_); trivial. % 1.01/1.18 apply (zenon_L302_); trivial. % 1.01/1.18 (* end of lemma zenon_L718_ *) % 1.01/1.18 assert (zenon_L719_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp6)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 1.01/1.18 do 0 intro. intros zenon_H107 zenon_H1e8 zenon_H222 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2d7 zenon_H1f0 zenon_H214 zenon_H1f2. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 1.01/1.18 apply (zenon_L65_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 1.01/1.18 apply (zenon_L464_); trivial. % 1.01/1.18 apply (zenon_L172_); trivial. % 1.01/1.18 (* end of lemma zenon_L719_ *) % 1.01/1.18 assert (zenon_L720_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> (ndr1_0) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H222 zenon_H2d7 zenon_Hf3 zenon_Hef zenon_H9d zenon_H9c zenon_H9b zenon_H12 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H3 zenon_H2e0. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.18 apply (zenon_L581_); trivial. % 1.01/1.18 apply (zenon_L719_); trivial. % 1.01/1.18 (* end of lemma zenon_L720_ *) % 1.01/1.18 assert (zenon_L721_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c2_1 X1)\/((~(c0_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H175 zenon_H136 zenon_H1af zenon_H12b zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2e0 zenon_H3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hf3 zenon_H2d7 zenon_H222 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_L720_); trivial. % 1.01/1.18 apply (zenon_L119_); trivial. % 1.01/1.18 (* end of lemma zenon_L721_ *) % 1.01/1.18 assert (zenon_L722_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H5 zenon_Ha9 zenon_Hab zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H12 zenon_H288 zenon_He8 zenon_He7 zenon_He6 zenon_Hef zenon_Hf3 zenon_H14 zenon_H15 zenon_H16 zenon_Hc4 zenon_H56 zenon_H58 zenon_H132. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.18 apply (zenon_L605_); trivial. % 1.01/1.18 apply (zenon_L230_); trivial. % 1.01/1.18 (* end of lemma zenon_L722_ *) % 1.01/1.18 assert (zenon_L723_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> (c1_1 (a1182)) -> (c3_1 (a1182)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4))))) -> (~(c1_1 (a1195))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.01/1.18 do 0 intro. intros zenon_H8f zenon_H14 zenon_H15 zenon_H16 zenon_H115 zenon_H114 zenon_Hc4 zenon_Hb0 zenon_Haf zenon_Hfd zenon_Hae zenon_H12 zenon_H8d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 1.01/1.18 apply (zenon_L469_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H44 | zenon_intro zenon_H8e ]. % 1.01/1.18 apply (zenon_L214_); trivial. % 1.01/1.18 exact (zenon_H8d zenon_H8e). % 1.01/1.18 (* end of lemma zenon_L723_ *) % 1.01/1.18 assert (zenon_L724_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp12)) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp7)) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 1.01/1.18 do 0 intro. intros zenon_H12d zenon_H1e8 zenon_H8d zenon_Hae zenon_Haf zenon_Hb0 zenon_Hc4 zenon_H8f zenon_H56 zenon_H14 zenon_H15 zenon_H16 zenon_He6 zenon_He7 zenon_He8 zenon_H58 zenon_H1f0 zenon_H214 zenon_H1f2. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 1.01/1.18 apply (zenon_L723_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 1.01/1.18 apply (zenon_L675_); trivial. % 1.01/1.18 apply (zenon_L172_); trivial. % 1.01/1.18 (* end of lemma zenon_L724_ *) % 1.01/1.18 assert (zenon_L725_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c1_1 (a1195))) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(hskp1)) -> (~(hskp16)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H21 zenon_H132 zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_He6 zenon_He7 zenon_He8 zenon_H56 zenon_H58 zenon_Hc4 zenon_Hae zenon_Haf zenon_Hb0 zenon_H8d zenon_H8f zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H3 zenon_H17d zenon_H17c. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.18 apply (zenon_L102_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 1.01/1.18 apply (zenon_L565_); trivial. % 1.01/1.18 apply (zenon_L724_); trivial. % 1.01/1.18 (* end of lemma zenon_L725_ *) % 1.01/1.18 assert (zenon_L726_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hca zenon_H194 zenon_H92 zenon_H2cb zenon_H21a zenon_H1cf zenon_H5 zenon_H17c zenon_H3 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H8f zenon_H8d zenon_Hc4 zenon_H58 zenon_H56 zenon_He8 zenon_He7 zenon_He6 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H132 zenon_H21. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.18 apply (zenon_L725_); trivial. % 1.01/1.18 apply (zenon_L668_); trivial. % 1.01/1.18 (* end of lemma zenon_L726_ *) % 1.01/1.18 assert (zenon_L727_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H12 zenon_H288 zenon_He8 zenon_He7 zenon_He6 zenon_Hef zenon_Hf3 zenon_H14 zenon_H15 zenon_H16 zenon_Hc4 zenon_H56 zenon_H58 zenon_H132. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.18 apply (zenon_L605_); trivial. % 1.01/1.18 apply (zenon_L262_); trivial. % 1.01/1.18 (* end of lemma zenon_L727_ *) % 1.01/1.18 assert (zenon_L728_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H145 zenon_H174 zenon_H21 zenon_H132 zenon_H8f zenon_Hc4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H2db zenon_H141 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H222 zenon_H2d7 zenon_H192 zenon_Hf3 zenon_He8 zenon_He7 zenon_He6 zenon_H56 zenon_H58 zenon_H21a zenon_H136 zenon_Hdc. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.18 apply (zenon_L610_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.18 apply (zenon_L490_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.18 apply (zenon_L613_); trivial. % 1.01/1.18 apply (zenon_L719_); trivial. % 1.01/1.18 apply (zenon_L500_); trivial. % 1.01/1.18 apply (zenon_L552_); trivial. % 1.01/1.18 (* end of lemma zenon_L728_ *) % 1.01/1.18 assert (zenon_L729_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (~(c0_1 (a1172))) -> (~(hskp23)) -> (~(hskp19)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (ndr1_0) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> False). % 1.01/1.18 do 0 intro. intros zenon_H288 zenon_H1f2 zenon_H214 zenon_Hce zenon_H1f0 zenon_Hf1 zenon_Hef zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H12 zenon_H266 zenon_H267 zenon_H268. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H83 | zenon_intro zenon_H289 ]. % 1.01/1.18 apply (zenon_L175_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H164 | zenon_intro zenon_H20b ]. % 1.01/1.18 apply (zenon_L284_); trivial. % 1.01/1.18 apply (zenon_L232_); trivial. % 1.01/1.18 (* end of lemma zenon_L729_ *) % 1.01/1.18 assert (zenon_L730_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp23)) -> (~(hskp19)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1199)) -> (~(c3_1 (a1199))) -> (~(c0_1 (a1199))) -> (ndr1_0) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> False). % 1.01/1.18 do 0 intro. intros zenon_H288 zenon_Hf1 zenon_Hef zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H1e8 zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_H1f0 zenon_H214 zenon_H1f2. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hce | zenon_intro zenon_H21d ]. % 1.01/1.18 apply (zenon_L729_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H20b ]. % 1.01/1.18 apply (zenon_L287_); trivial. % 1.01/1.18 apply (zenon_L171_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 1.01/1.18 apply (zenon_L104_); trivial. % 1.01/1.18 apply (zenon_L172_); trivial. % 1.01/1.18 (* end of lemma zenon_L730_ *) % 1.01/1.18 assert (zenon_L731_ : ((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H195 zenon_H136 zenon_H12e zenon_H12b zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hf3 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H1e8 zenon_H21a zenon_Hab zenon_Ha9 zenon_H5 zenon_H10c. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H183. zenon_intro zenon_H197. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H181. zenon_intro zenon_H182. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.18 apply (zenon_L730_); trivial. % 1.01/1.18 apply (zenon_L230_); trivial. % 1.01/1.18 apply (zenon_L178_); trivial. % 1.01/1.18 (* end of lemma zenon_L731_ *) % 1.01/1.18 assert (zenon_L732_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1174))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H1d zenon_H136 zenon_H21a zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H58 zenon_H56 zenon_He6 zenon_He7 zenon_He8 zenon_H138 zenon_H139 zenon_H13a zenon_Hf3 zenon_H1a0 zenon_H1a2 zenon_H1a1 zenon_H192 zenon_Hda zenon_Hd8 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.18 apply (zenon_L613_); trivial. % 1.01/1.18 apply (zenon_L262_); trivial. % 1.01/1.18 apply (zenon_L500_); trivial. % 1.01/1.18 (* end of lemma zenon_L732_ *) % 1.01/1.18 assert (zenon_L733_ : ((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H1c8 zenon_H174 zenon_He3 zenon_Hcd zenon_H92 zenon_Hda zenon_Hd8 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H8f zenon_H1cf zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_Hab zenon_Hdc. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.18 apply (zenon_L131_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_L234_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hce | zenon_intro zenon_Hdb ]. % 1.01/1.18 apply (zenon_L666_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H9a | zenon_intro zenon_Hd9 ]. % 1.01/1.18 apply (zenon_L90_); trivial. % 1.01/1.18 exact (zenon_Hd8 zenon_Hd9). % 1.01/1.18 apply (zenon_L91_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.18 apply (zenon_L714_); trivial. % 1.01/1.18 apply (zenon_L91_); trivial. % 1.01/1.18 (* end of lemma zenon_L733_ *) % 1.01/1.18 assert (zenon_L734_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1172)) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(hskp12)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hca zenon_H194 zenon_H1e8 zenon_H214 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_H8f zenon_H1f2 zenon_H1f0 zenon_H21a zenon_H17c zenon_H3 zenon_H38 zenon_Hc4 zenon_H8d zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.18 apply (zenon_L298_); trivial. % 1.01/1.18 apply (zenon_L278_); trivial. % 1.01/1.18 (* end of lemma zenon_L734_ *) % 1.01/1.18 assert (zenon_L735_ : ((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1199))/\((~(c0_1 (a1199)))/\(~(c3_1 (a1199))))))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp17)\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a1180)) -> (~(c3_1 (a1180))) -> (~(c0_1 (a1180))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hca zenon_H194 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_H21a zenon_H17c zenon_H3 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H8f zenon_H8d zenon_Hc4 zenon_H58 zenon_H56 zenon_He8 zenon_He7 zenon_He6 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H132 zenon_H21. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.18 apply (zenon_L725_); trivial. % 1.01/1.18 apply (zenon_L278_); trivial. % 1.01/1.18 (* end of lemma zenon_L735_ *) % 1.01/1.18 assert (zenon_L736_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (c3_1 (a1172)) -> (~(c0_1 (a1172))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H145 zenon_H174 zenon_H58 zenon_H56 zenon_Hab zenon_He3 zenon_H1e8 zenon_H192 zenon_Hc8 zenon_Hc7 zenon_Hcd zenon_H21 zenon_H132 zenon_H8f zenon_Hc4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H2db zenon_H141 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H167 zenon_H166 zenon_H165 zenon_H1f2 zenon_H1f0 zenon_H21a zenon_Hdc. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.18 apply (zenon_L610_); trivial. % 1.01/1.18 apply (zenon_L282_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.18 apply (zenon_L592_); trivial. % 1.01/1.18 apply (zenon_L282_); trivial. % 1.01/1.18 (* end of lemma zenon_L736_ *) % 1.01/1.18 assert (zenon_L737_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (c1_1 (a1169)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (~(c3_1 (a1169))) -> (ndr1_0) -> (~(hskp25)) -> False). % 1.01/1.18 do 0 intro. intros zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H296 zenon_He5 zenon_H295 zenon_H12 zenon_H10f. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1da ]. % 1.01/1.18 apply (zenon_L455_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H19f | zenon_intro zenon_H110 ]. % 1.01/1.18 apply (zenon_L317_); trivial. % 1.01/1.18 exact (zenon_H10f zenon_H110). % 1.01/1.18 (* end of lemma zenon_L737_ *) % 1.01/1.18 assert (zenon_L738_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp25)) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(hskp3)) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hfb zenon_H295 zenon_H296 zenon_H10f zenon_H12 zenon_H2c2 zenon_H2c4 zenon_H2c3 zenon_H1d9 zenon_Hf9. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He5 | zenon_intro zenon_Hfc ]. % 1.01/1.18 apply (zenon_L737_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfa ]. % 1.01/1.18 apply (zenon_L462_); trivial. % 1.01/1.18 exact (zenon_Hf9 zenon_Hfa). % 1.01/1.18 (* end of lemma zenon_L738_ *) % 1.01/1.18 assert (zenon_L739_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.18 apply (zenon_L311_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 1.01/1.18 apply (zenon_L738_); trivial. % 1.01/1.18 apply (zenon_L465_); trivial. % 1.01/1.18 (* end of lemma zenon_L739_ *) % 1.01/1.18 assert (zenon_L740_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H7f zenon_H80 zenon_H74 zenon_H296 zenon_H295 zenon_H294 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H52 zenon_H54. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 1.01/1.18 apply (zenon_L457_); trivial. % 1.01/1.18 apply (zenon_L313_); trivial. % 1.01/1.18 (* end of lemma zenon_L740_ *) % 1.01/1.18 assert (zenon_L741_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H52 zenon_H54 zenon_Hf3 zenon_Hef zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_H2d7 zenon_H222 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_L739_); trivial. % 1.01/1.18 apply (zenon_L740_); trivial. % 1.01/1.18 (* end of lemma zenon_L741_ *) % 1.01/1.18 assert (zenon_L742_ : ((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c2_1 (a1169))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H133 zenon_H92 zenon_H80 zenon_H74 zenon_H294 zenon_H2cb zenon_H52 zenon_H54 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H295 zenon_H296 zenon_H1d9 zenon_H34 zenon_Hd zenon_H12b zenon_H12e zenon_H132. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12. zenon_intro zenon_H134. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H124. zenon_intro zenon_H135. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H122. zenon_intro zenon_H123. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 1.01/1.18 apply (zenon_L738_); trivial. % 1.01/1.18 apply (zenon_L75_); trivial. % 1.01/1.18 apply (zenon_L740_); trivial. % 1.01/1.18 (* end of lemma zenon_L742_ *) % 1.01/1.18 assert (zenon_L743_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c3_1 (a1202)) -> (c1_1 (a1202)) -> (~(c0_1 (a1202))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H92 zenon_H8f zenon_H8d zenon_H2cb zenon_H86 zenon_H85 zenon_H84 zenon_Hf3 zenon_Hef zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_H2d7 zenon_H222 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_L739_); trivial. % 1.01/1.18 apply (zenon_L493_); trivial. % 1.01/1.18 (* end of lemma zenon_L743_ *) % 1.01/1.18 assert (zenon_L744_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H174 zenon_H224 zenon_H136 zenon_H12b zenon_H12e zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H54 zenon_H2cb zenon_H74 zenon_H80 zenon_H92 zenon_H8f zenon_H95. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_L741_); trivial. % 1.01/1.18 apply (zenon_L742_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_L743_); trivial. % 1.01/1.18 apply (zenon_L77_); trivial. % 1.01/1.18 apply (zenon_L182_); trivial. % 1.01/1.18 (* end of lemma zenon_L744_ *) % 1.01/1.18 assert (zenon_L745_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> (~(hskp8)) -> ((hskp28)\/(hskp8)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H15a zenon_H143 zenon_H141 zenon_H38 zenon_Hc4 zenon_H238 zenon_H22 zenon_H24 zenon_H56 zenon_H58 zenon_H248 zenon_H21 zenon_H95 zenon_H8f zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_H2d7 zenon_H222 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H136 zenon_H224 zenon_H174. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.18 apply (zenon_L744_); trivial. % 1.01/1.18 apply (zenon_L603_); trivial. % 1.01/1.18 (* end of lemma zenon_L745_ *) % 1.01/1.18 assert (zenon_L746_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H95 zenon_H8f zenon_H8d zenon_H2db zenon_H5 zenon_H13a zenon_H139 zenon_H138 zenon_H12 zenon_H54 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H294 zenon_H295 zenon_H296 zenon_H74 zenon_H80 zenon_H92. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_L491_); trivial. % 1.01/1.18 apply (zenon_L740_); trivial. % 1.01/1.18 apply (zenon_L494_); trivial. % 1.01/1.18 (* end of lemma zenon_L746_ *) % 1.01/1.18 assert (zenon_L747_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.18 apply (zenon_L311_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 1.01/1.18 apply (zenon_L738_); trivial. % 1.01/1.18 apply (zenon_L496_); trivial. % 1.01/1.18 (* end of lemma zenon_L747_ *) % 1.01/1.18 assert (zenon_L748_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c1_1 (a1200))) -> (~(c2_1 (a1200))) -> (c0_1 (a1200)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H91 zenon_H136 zenon_H21a zenon_He6 zenon_He7 zenon_He8 zenon_H56 zenon_H58 zenon_H14 zenon_H15 zenon_H16 zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H2cb zenon_H8d zenon_H8f zenon_H92. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_L747_); trivial. % 1.01/1.18 apply (zenon_L493_); trivial. % 1.01/1.18 apply (zenon_L500_); trivial. % 1.01/1.18 (* end of lemma zenon_L748_ *) % 1.01/1.18 assert (zenon_L749_ : ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((hskp28)\/(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H1cb zenon_H15a zenon_H143 zenon_H141 zenon_H38 zenon_Hc4 zenon_H238 zenon_H24 zenon_H58 zenon_H248 zenon_H21 zenon_H95 zenon_H8f zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_H2d7 zenon_H222 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H136 zenon_H224 zenon_H174 zenon_H96 zenon_H2db zenon_Hf zenon_H21a zenon_Hda zenon_Hd8 zenon_Hdc zenon_Hcd zenon_Hc7 zenon_Hc8 zenon_He3 zenon_Hab zenon_H173. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.18 apply (zenon_L745_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.18 apply (zenon_L744_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.18 apply (zenon_L746_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.18 apply (zenon_L8_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_L741_); trivial. % 1.01/1.18 apply (zenon_L500_); trivial. % 1.01/1.18 apply (zenon_L748_); trivial. % 1.01/1.18 apply (zenon_L83_); trivial. % 1.01/1.18 apply (zenon_L505_); trivial. % 1.01/1.18 apply (zenon_L519_); trivial. % 1.01/1.18 (* end of lemma zenon_L749_ *) % 1.01/1.18 assert (zenon_L750_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H5 zenon_Ha9 zenon_Hab zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.18 apply (zenon_L311_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 1.01/1.18 apply (zenon_L738_); trivial. % 1.01/1.18 apply (zenon_L352_); trivial. % 1.01/1.18 (* end of lemma zenon_L750_ *) % 1.01/1.18 assert (zenon_L751_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp18)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H136 zenon_H12b zenon_H12e zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H5 zenon_Ha9 zenon_Hab zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H54 zenon_H52 zenon_H2cb zenon_H74 zenon_H80 zenon_H92. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_L750_); trivial. % 1.01/1.18 apply (zenon_L740_); trivial. % 1.01/1.18 apply (zenon_L742_); trivial. % 1.01/1.18 (* end of lemma zenon_L751_ *) % 1.01/1.18 assert (zenon_L752_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H91 zenon_H136 zenon_H12e zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H5 zenon_Ha9 zenon_Hab zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H2cb zenon_H8d zenon_H8f zenon_H92. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_L750_); trivial. % 1.01/1.18 apply (zenon_L493_); trivial. % 1.01/1.18 apply (zenon_L77_); trivial. % 1.01/1.18 (* end of lemma zenon_L752_ *) % 1.01/1.18 assert (zenon_L753_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H95 zenon_H8d zenon_H8f zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hab zenon_Ha9 zenon_H5 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H12b zenon_H136. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.18 apply (zenon_L751_); trivial. % 1.01/1.18 apply (zenon_L752_); trivial. % 1.01/1.18 (* end of lemma zenon_L753_ *) % 1.01/1.18 assert (zenon_L754_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp22)) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_Hd zenon_H31 zenon_Haf zenon_Hb0 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.18 apply (zenon_L311_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 1.01/1.18 apply (zenon_L738_); trivial. % 1.01/1.18 apply (zenon_L526_); trivial. % 1.01/1.18 (* end of lemma zenon_L754_ *) % 1.01/1.18 assert (zenon_L755_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hcd zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H136 zenon_H12b zenon_H12e zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H5 zenon_Hab zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H54 zenon_H2cb zenon_H74 zenon_H80 zenon_H92 zenon_H8f zenon_H8d zenon_H95. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.18 apply (zenon_L753_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_L754_); trivial. % 1.01/1.18 apply (zenon_L740_); trivial. % 1.01/1.18 apply (zenon_L742_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_L754_); trivial. % 1.01/1.18 apply (zenon_L493_); trivial. % 1.01/1.18 apply (zenon_L77_); trivial. % 1.01/1.18 (* end of lemma zenon_L755_ *) % 1.01/1.18 assert (zenon_L756_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H52 zenon_H54 zenon_Hf3 zenon_Hef zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hda zenon_Hd8 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_L747_); trivial. % 1.01/1.18 apply (zenon_L740_); trivial. % 1.01/1.18 (* end of lemma zenon_L756_ *) % 1.01/1.18 assert (zenon_L757_ : ((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H91 zenon_H136 zenon_H12e zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H3a zenon_H3b zenon_H3c zenon_H8f zenon_H8d zenon_H56 zenon_H58 zenon_H92. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_L747_); trivial. % 1.01/1.18 apply (zenon_L35_); trivial. % 1.01/1.18 apply (zenon_L77_); trivial. % 1.01/1.18 (* end of lemma zenon_L757_ *) % 1.01/1.18 assert (zenon_L758_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hdd zenon_H95 zenon_H3a zenon_H3b zenon_H3c zenon_H8f zenon_H8d zenon_H56 zenon_H58 zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hda zenon_Hd8 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H12b zenon_H136. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_L756_); trivial. % 1.01/1.18 apply (zenon_L742_); trivial. % 1.01/1.18 apply (zenon_L757_); trivial. % 1.01/1.18 (* end of lemma zenon_L758_ *) % 1.01/1.18 assert (zenon_L759_ : ((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H97 zenon_Hdc zenon_H56 zenon_H58 zenon_Hda zenon_Hd8 zenon_H95 zenon_H8d zenon_H8f zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hab zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H12b zenon_H136 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_Hcd. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.18 apply (zenon_L755_); trivial. % 1.01/1.18 apply (zenon_L758_); trivial. % 1.01/1.18 (* end of lemma zenon_L759_ *) % 1.01/1.18 assert (zenon_L760_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H92 zenon_H9b zenon_H9c zenon_H9d zenon_H58 zenon_H56 zenon_He3 zenon_Hf3 zenon_Hef zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hda zenon_Hd8 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_L747_); trivial. % 1.01/1.18 apply (zenon_L221_); trivial. % 1.01/1.18 (* end of lemma zenon_L760_ *) % 1.01/1.18 assert (zenon_L761_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hdd zenon_H95 zenon_H92 zenon_H9b zenon_H9c zenon_H9d zenon_H58 zenon_H56 zenon_He3 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hda zenon_Hd8 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H12b zenon_H54 zenon_H2cb zenon_H74 zenon_H80 zenon_H136. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_L760_); trivial. % 1.01/1.18 apply (zenon_L742_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_L760_); trivial. % 1.01/1.18 apply (zenon_L77_); trivial. % 1.01/1.18 (* end of lemma zenon_L761_ *) % 1.01/1.18 assert (zenon_L762_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c3_1 (a1187))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hdc zenon_H95 zenon_H92 zenon_He3 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hda zenon_Hd8 zenon_H34 zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H12b zenon_H54 zenon_H2cb zenon_H74 zenon_H80 zenon_H136 zenon_H21 zenon_H58 zenon_H56 zenon_H9b zenon_H9c zenon_H9d zenon_Hab zenon_Hb zenon_Hd zenon_Hf zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_Hcd. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.18 apply (zenon_L49_); trivial. % 1.01/1.18 apply (zenon_L761_); trivial. % 1.01/1.18 (* end of lemma zenon_L762_ *) % 1.01/1.18 assert (zenon_L763_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H92 zenon_He3 zenon_H3a zenon_H3b zenon_H3c zenon_H56 zenon_H58 zenon_H9d zenon_H9c zenon_H9b zenon_Hf3 zenon_Hef zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hab zenon_Ha9 zenon_H5 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_L750_); trivial. % 1.01/1.18 apply (zenon_L56_); trivial. % 1.01/1.18 (* end of lemma zenon_L763_ *) % 1.01/1.18 assert (zenon_L764_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H95 zenon_H92 zenon_He3 zenon_H3a zenon_H3b zenon_H3c zenon_H56 zenon_H58 zenon_H9d zenon_H9c zenon_H9b zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hab zenon_Ha9 zenon_H5 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H12e zenon_H12b zenon_H54 zenon_H2cb zenon_H74 zenon_H80 zenon_H136. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_L763_); trivial. % 1.01/1.18 apply (zenon_L742_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.18 apply (zenon_L763_); trivial. % 1.01/1.18 apply (zenon_L77_); trivial. % 1.01/1.18 (* end of lemma zenon_L764_ *) % 1.01/1.18 assert (zenon_L765_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a1192))) -> (~(c2_1 (a1192))) -> (c1_1 (a1192)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c3_1 (a1187))) -> (~(c2_1 (a1187))) -> (~(c0_1 (a1187))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H92 zenon_He3 zenon_H3a zenon_H3b zenon_H3c zenon_H56 zenon_H58 zenon_H9d zenon_H9c zenon_H9b zenon_Hf3 zenon_Hef zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_Hb0 zenon_Haf zenon_Hd zenon_H34 zenon_H1e8 zenon_H132 zenon_H10c. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.18 apply (zenon_L754_); trivial. % 1.01/1.18 apply (zenon_L56_); trivial. % 1.01/1.18 (* end of lemma zenon_L765_ *) % 1.01/1.18 assert (zenon_L766_ : ((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((hskp17)\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H175 zenon_H96 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_Hcd zenon_Hc7 zenon_Hc4 zenon_Hc8 zenon_Hf zenon_Hd zenon_Hab zenon_H56 zenon_H58 zenon_H21 zenon_H136 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_H12b zenon_H12e zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_Hd8 zenon_Hda zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_He3 zenon_H92 zenon_H95 zenon_Hdc. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.19 apply (zenon_L762_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H12. zenon_intro zenon_H98. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H3c. zenon_intro zenon_H99. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.19 apply (zenon_L764_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L765_); trivial. % 1.01/1.19 apply (zenon_L742_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L765_); trivial. % 1.01/1.19 apply (zenon_L77_); trivial. % 1.01/1.19 apply (zenon_L761_); trivial. % 1.01/1.19 (* end of lemma zenon_L766_ *) % 1.01/1.19 assert (zenon_L767_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> False). % 1.01/1.19 do 0 intro. intros zenon_Hdd zenon_H21 zenon_H95 zenon_He6 zenon_He7 zenon_He8 zenon_H56 zenon_H58 zenon_H8d zenon_H8f zenon_H92 zenon_H80 zenon_H74 zenon_H2cb zenon_H54 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_Hda zenon_Hd8 zenon_H34 zenon_H1e8 zenon_H132 zenon_H10c zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H136 zenon_Hb zenon_Hd zenon_Hf. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.19 apply (zenon_L8_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L756_); trivial. % 1.01/1.19 apply (zenon_L533_); trivial. % 1.01/1.19 apply (zenon_L748_); trivial. % 1.01/1.19 (* end of lemma zenon_L767_ *) % 1.01/1.19 assert (zenon_L768_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> (~(hskp2)) -> ((hskp17)\/((hskp13)\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1192))/\((~(c0_1 (a1192)))/\(~(c2_1 (a1192))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H145 zenon_H174 zenon_Hab zenon_He3 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_Hcd zenon_Hdc zenon_H21 zenon_He6 zenon_He7 zenon_He8 zenon_H56 zenon_H58 zenon_Hf3 zenon_Hfb zenon_Hf9 zenon_H1d9 zenon_Hda zenon_Hd8 zenon_H34 zenon_H1e8 zenon_H132 zenon_H10c zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H136 zenon_Hd zenon_Hf zenon_H92 zenon_H80 zenon_H74 zenon_H296 zenon_H295 zenon_H294 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H54 zenon_H2db zenon_H8f zenon_H95 zenon_H143 zenon_H141 zenon_H96. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.19 apply (zenon_L746_); trivial. % 1.01/1.19 apply (zenon_L767_); trivial. % 1.01/1.19 apply (zenon_L83_); trivial. % 1.01/1.19 apply (zenon_L505_); trivial. % 1.01/1.19 (* end of lemma zenon_L768_ *) % 1.01/1.19 assert (zenon_L769_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H92 zenon_H17a zenon_H2cb zenon_H15d zenon_H15c zenon_H15b zenon_Hf3 zenon_Hef zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hfb zenon_Hf9 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_Hb0 zenon_Haf zenon_Hd zenon_H34 zenon_H1e8 zenon_H132 zenon_H10c. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.19 apply (zenon_L754_); trivial. % 1.01/1.19 apply (zenon_L539_); trivial. % 1.01/1.19 (* end of lemma zenon_L769_ *) % 1.01/1.19 assert (zenon_L770_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_Hdc zenon_Hda zenon_Hd8 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H12 zenon_H136 zenon_H80 zenon_H74 zenon_H54 zenon_H12b zenon_H12e zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_Hd zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hf9 zenon_Hfb zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H2cb zenon_H17a zenon_H92 zenon_H95 zenon_Hcd. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.19 apply (zenon_L131_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L769_); trivial. % 1.01/1.19 apply (zenon_L742_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L769_); trivial. % 1.01/1.19 apply (zenon_L77_); trivial. % 1.01/1.19 apply (zenon_L91_); trivial. % 1.01/1.19 (* end of lemma zenon_L770_ *) % 1.01/1.19 assert (zenon_L771_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H132 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H167 zenon_H166 zenon_H165 zenon_H31 zenon_Hd zenon_H34 zenon_H1d9 zenon_H296 zenon_H295 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H12 zenon_Hf9 zenon_Hfb. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 1.01/1.19 apply (zenon_L738_); trivial. % 1.01/1.19 apply (zenon_L558_); trivial. % 1.01/1.19 (* end of lemma zenon_L771_ *) % 1.01/1.19 assert (zenon_L772_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.19 apply (zenon_L311_); trivial. % 1.01/1.19 apply (zenon_L606_); trivial. % 1.01/1.19 (* end of lemma zenon_L772_ *) % 1.01/1.19 assert (zenon_L773_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H92 zenon_H74 zenon_Hf3 zenon_Hef zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2d7 zenon_H222 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.19 apply (zenon_L772_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.19 apply (zenon_L311_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 1.01/1.19 apply (zenon_L565_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 1.01/1.19 apply (zenon_L65_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 1.01/1.19 apply (zenon_L464_); trivial. % 1.01/1.19 apply (zenon_L365_); trivial. % 1.01/1.19 (* end of lemma zenon_L773_ *) % 1.01/1.19 assert (zenon_L774_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H74 zenon_H92. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L773_); trivial. % 1.01/1.19 apply (zenon_L119_); trivial. % 1.01/1.19 (* end of lemma zenon_L774_ *) % 1.01/1.19 assert (zenon_L775_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H1d zenon_H136 zenon_H21a zenon_He6 zenon_He7 zenon_He8 zenon_H56 zenon_H58 zenon_H2cb zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H222 zenon_H2d7 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H74 zenon_H92. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L773_); trivial. % 1.01/1.19 apply (zenon_L500_); trivial. % 1.01/1.19 (* end of lemma zenon_L775_ *) % 1.01/1.19 assert (zenon_L776_ : ((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H170 zenon_H15a zenon_H174 zenon_H21 zenon_H8f zenon_Hc4 zenon_H2db zenon_H141 zenon_H143 zenon_H2cb zenon_H58 zenon_H56 zenon_H21a zenon_Hdc zenon_H92 zenon_H74 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2d7 zenon_H222 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H1af zenon_H136. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.19 apply (zenon_L774_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.19 apply (zenon_L610_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.19 apply (zenon_L490_); trivial. % 1.01/1.19 apply (zenon_L775_); trivial. % 1.01/1.19 apply (zenon_L552_); trivial. % 1.01/1.19 (* end of lemma zenon_L776_ *) % 1.01/1.19 assert (zenon_L777_ : ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((hskp28)\/(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H1cb zenon_H15a zenon_H174 zenon_H2cb zenon_H143 zenon_H141 zenon_H38 zenon_Hc4 zenon_H238 zenon_H24 zenon_H58 zenon_H248 zenon_H21 zenon_H92 zenon_H74 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2d7 zenon_H222 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H1af zenon_H136 zenon_Hdc zenon_H21a zenon_H2db zenon_H8f zenon_H173. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.19 apply (zenon_L774_); trivial. % 1.01/1.19 apply (zenon_L603_); trivial. % 1.01/1.19 apply (zenon_L776_); trivial. % 1.01/1.19 apply (zenon_L519_); trivial. % 1.01/1.19 (* end of lemma zenon_L777_ *) % 1.01/1.19 assert (zenon_L778_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_H5 zenon_Ha9 zenon_Hab zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.19 apply (zenon_L311_); trivial. % 1.01/1.19 apply (zenon_L626_); trivial. % 1.01/1.19 (* end of lemma zenon_L778_ *) % 1.01/1.19 assert (zenon_L779_ : ((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1218))) -> (~(c1_1 (a1218))) -> (~(c0_1 (a1218))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> (~(c3_1 (a1178))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c3_1 (a1211)) -> (c0_1 (a1211)) -> (~(c1_1 (a1211))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H12d zenon_H1e8 zenon_H100 zenon_Hff zenon_Hfe zenon_H267 zenon_H268 zenon_H266 zenon_H74 zenon_H5b zenon_H45 zenon_H43 zenon_H296 zenon_H295 zenon_H294. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H115. zenon_intro zenon_H130. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 1.01/1.19 apply (zenon_L65_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 1.01/1.19 apply (zenon_L408_); trivial. % 1.01/1.19 apply (zenon_L365_); trivial. % 1.01/1.19 (* end of lemma zenon_L779_ *) % 1.01/1.19 assert (zenon_L780_ : ((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a1211))) -> (c0_1 (a1211)) -> (c3_1 (a1211)) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(c3_1 (a1178))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H107 zenon_H132 zenon_H1e8 zenon_H43 zenon_H45 zenon_H5b zenon_H294 zenon_H295 zenon_H296 zenon_H266 zenon_H268 zenon_H267 zenon_H74 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 1.01/1.19 apply (zenon_L565_); trivial. % 1.01/1.19 apply (zenon_L779_); trivial. % 1.01/1.19 (* end of lemma zenon_L780_ *) % 1.01/1.19 assert (zenon_L781_ : ((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a1178))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H7f zenon_H10c zenon_H132 zenon_H1e8 zenon_H266 zenon_H268 zenon_H267 zenon_H74 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.19 apply (zenon_L311_); trivial. % 1.01/1.19 apply (zenon_L780_); trivial. % 1.01/1.19 (* end of lemma zenon_L781_ *) % 1.01/1.19 assert (zenon_L782_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(c3_1 (a1178))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H92 zenon_H266 zenon_H268 zenon_H267 zenon_H74 zenon_Hf3 zenon_Hef zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hab zenon_Ha9 zenon_H5 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.19 apply (zenon_L778_); trivial. % 1.01/1.19 apply (zenon_L781_); trivial. % 1.01/1.19 (* end of lemma zenon_L782_ *) % 1.01/1.19 assert (zenon_L783_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> (~(c3_1 (a1178))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_H5 zenon_Ha9 zenon_Hab zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H74 zenon_H267 zenon_H268 zenon_H266 zenon_H92. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L782_); trivial. % 1.01/1.19 apply (zenon_L119_); trivial. % 1.01/1.19 (* end of lemma zenon_L783_ *) % 1.01/1.19 assert (zenon_L784_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp22)) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_Hd zenon_H31 zenon_Haf zenon_Hb0 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.19 apply (zenon_L311_); trivial. % 1.01/1.19 apply (zenon_L629_); trivial. % 1.01/1.19 (* end of lemma zenon_L784_ *) % 1.01/1.19 assert (zenon_L785_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1195))) -> (c2_1 (a1195)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp18)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_H34 zenon_Hd zenon_Haf zenon_Hb0 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H54 zenon_H52 zenon_H2cb zenon_H74 zenon_H80 zenon_H92. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.19 apply (zenon_L784_); trivial. % 1.01/1.19 apply (zenon_L740_); trivial. % 1.01/1.19 apply (zenon_L119_); trivial. % 1.01/1.19 (* end of lemma zenon_L785_ *) % 1.01/1.19 assert (zenon_L786_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp22)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1194))) -> (~(c1_1 (a1194))) -> (c2_1 (a1194)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H10c zenon_H132 zenon_H1e8 zenon_H31 zenon_Hd zenon_H34 zenon_Hcf zenon_Hd0 zenon_Hd1 zenon_Hd8 zenon_Hda zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.19 apply (zenon_L311_); trivial. % 1.01/1.19 apply (zenon_L582_); trivial. % 1.01/1.19 (* end of lemma zenon_L786_ *) % 1.01/1.19 assert (zenon_L787_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> (~(c3_1 (a1178))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(hskp19)) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H92 zenon_H266 zenon_H268 zenon_H267 zenon_H74 zenon_Hf3 zenon_Hef zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hda zenon_Hd8 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.19 apply (zenon_L786_); trivial. % 1.01/1.19 apply (zenon_L781_); trivial. % 1.01/1.19 (* end of lemma zenon_L787_ *) % 1.01/1.19 assert (zenon_L788_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> (~(c3_1 (a1178))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_Hdd zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Hd8 zenon_Hda zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H74 zenon_H267 zenon_H268 zenon_H266 zenon_H92. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L787_); trivial. % 1.01/1.19 apply (zenon_L119_); trivial. % 1.01/1.19 (* end of lemma zenon_L788_ *) % 1.01/1.19 assert (zenon_L789_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> (~(c3_1 (a1178))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_Hdc zenon_Hd8 zenon_Hda zenon_H136 zenon_H1af zenon_H12b zenon_H10c zenon_H132 zenon_H1e8 zenon_Hd zenon_H34 zenon_Hab zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H74 zenon_H267 zenon_H268 zenon_H266 zenon_H92 zenon_H288 zenon_H54 zenon_H2cb zenon_H80 zenon_H12e zenon_H95 zenon_Hcd. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.19 apply (zenon_L783_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.19 apply (zenon_L785_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.19 apply (zenon_L784_); trivial. % 1.01/1.19 apply (zenon_L781_); trivial. % 1.01/1.19 apply (zenon_L77_); trivial. % 1.01/1.19 apply (zenon_L788_); trivial. % 1.01/1.19 (* end of lemma zenon_L789_ *) % 1.01/1.19 assert (zenon_L790_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (~(c3_1 (a1178))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H145 zenon_H174 zenon_H58 zenon_H56 zenon_Hab zenon_He3 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_Hcd zenon_H95 zenon_H8f zenon_H2db zenon_H54 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H294 zenon_H295 zenon_H296 zenon_H74 zenon_H80 zenon_H92 zenon_H143 zenon_H141 zenon_H266 zenon_H268 zenon_H267 zenon_Hf3 zenon_H1d9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hda zenon_Hd8 zenon_H34 zenon_Hd zenon_H1e8 zenon_H132 zenon_H10c zenon_H21a zenon_H136 zenon_H21 zenon_Hdc. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.19 apply (zenon_L746_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.19 apply (zenon_L490_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L787_); trivial. % 1.01/1.19 apply (zenon_L533_); trivial. % 1.01/1.19 apply (zenon_L505_); trivial. % 1.01/1.19 (* end of lemma zenon_L790_ *) % 1.01/1.19 assert (zenon_L791_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> (c2_1 (a1176)) -> (c0_1 (a1176)) -> (~(c3_1 (a1176))) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((hskp22)\/(hskp2))) -> (ndr1_0) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H136 zenon_H1af zenon_H12b zenon_H132 zenon_H288 zenon_H268 zenon_H267 zenon_H266 zenon_H167 zenon_H166 zenon_H165 zenon_Hd zenon_H34 zenon_H12 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H74 zenon_H1e8 zenon_H10c zenon_H92. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.19 apply (zenon_L656_); trivial. % 1.01/1.19 apply (zenon_L781_); trivial. % 1.01/1.19 apply (zenon_L119_); trivial. % 1.01/1.19 (* end of lemma zenon_L791_ *) % 1.01/1.19 assert (zenon_L792_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> (~(hskp19)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H222 zenon_H2d7 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hef zenon_Hf3. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.19 apply (zenon_L311_); trivial. % 1.01/1.19 apply (zenon_L719_); trivial. % 1.01/1.19 (* end of lemma zenon_L792_ *) % 1.01/1.19 assert (zenon_L793_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H174 zenon_H224 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H222 zenon_H2d7 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H12e zenon_H12b zenon_H238 zenon_H1af zenon_Hf9 zenon_Hfb zenon_H248 zenon_H136. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L792_); trivial. % 1.01/1.19 apply (zenon_L373_); trivial. % 1.01/1.19 apply (zenon_L182_); trivial. % 1.01/1.19 (* end of lemma zenon_L793_ *) % 1.01/1.19 assert (zenon_L794_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H1d zenon_H136 zenon_H21a zenon_He6 zenon_He7 zenon_He8 zenon_H56 zenon_H58 zenon_H2cb zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H2d7 zenon_H222 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L792_); trivial. % 1.01/1.19 apply (zenon_L500_); trivial. % 1.01/1.19 (* end of lemma zenon_L794_ *) % 1.01/1.19 assert (zenon_L795_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_Hdd zenon_H21 zenon_H136 zenon_H21a zenon_He6 zenon_He7 zenon_He8 zenon_H56 zenon_H58 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H2d7 zenon_H222 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.19 apply (zenon_L490_); trivial. % 1.01/1.19 apply (zenon_L794_); trivial. % 1.01/1.19 (* end of lemma zenon_L795_ *) % 1.01/1.19 assert (zenon_L796_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_Hdc zenon_H21 zenon_H136 zenon_H21a zenon_He6 zenon_He7 zenon_He8 zenon_H56 zenon_H58 zenon_Hf3 zenon_H2d7 zenon_H222 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H141 zenon_H143 zenon_H92 zenon_H80 zenon_H74 zenon_H296 zenon_H295 zenon_H294 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H54 zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H2db zenon_H8d zenon_H8f zenon_H95. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.19 apply (zenon_L746_); trivial. % 1.01/1.19 apply (zenon_L795_); trivial. % 1.01/1.19 (* end of lemma zenon_L796_ *) % 1.01/1.19 assert (zenon_L797_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a1195)) -> (~(c3_1 (a1195))) -> (~(c1_1 (a1195))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> (~(c3_1 (a1178))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (ndr1_0) -> (~(c2_1 (a1186))) -> (~(c3_1 (a1186))) -> (c0_1 (a1186)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H92 zenon_H80 zenon_H54 zenon_H52 zenon_Hb0 zenon_Haf zenon_Hae zenon_H74 zenon_H267 zenon_H268 zenon_H266 zenon_H296 zenon_H295 zenon_H294 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H12 zenon_H138 zenon_H139 zenon_H13a zenon_H5 zenon_H2db. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.19 apply (zenon_L491_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H50 | zenon_intro zenon_H76 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H1e9 ]. % 1.01/1.19 apply (zenon_L235_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e5 ]. % 1.01/1.19 apply (zenon_L408_); trivial. % 1.01/1.19 apply (zenon_L172_); trivial. % 1.01/1.19 apply (zenon_L313_); trivial. % 1.01/1.19 (* end of lemma zenon_L797_ *) % 1.01/1.19 assert (zenon_L798_ : ((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1194)) -> (~(c1_1 (a1194))) -> (~(c0_1 (a1194))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H1d zenon_H136 zenon_H21a zenon_He6 zenon_He7 zenon_He8 zenon_H56 zenon_H58 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hda zenon_Hd8 zenon_Hd1 zenon_Hd0 zenon_Hcf zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L390_); trivial. % 1.01/1.19 apply (zenon_L500_); trivial. % 1.01/1.19 (* end of lemma zenon_L798_ *) % 1.01/1.19 assert (zenon_L799_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1180))) -> (~(c3_1 (a1180))) -> (c1_1 (a1180)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_Hdd zenon_H21 zenon_H136 zenon_H21a zenon_He6 zenon_He7 zenon_He8 zenon_H56 zenon_H58 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hda zenon_Hd8 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.19 apply (zenon_L490_); trivial. % 1.01/1.19 apply (zenon_L798_); trivial. % 1.01/1.19 (* end of lemma zenon_L799_ *) % 1.01/1.19 assert (zenon_L800_ : ((~(hskp6))\/((ndr1_0)/\((c1_1 (a1178))/\((c2_1 (a1178))/\(~(c3_1 (a1178))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X39 : zenon_U, ((ndr1_0)->((~(c0_1 X39))\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1202))/\((c3_1 (a1202))/\(~(c0_1 (a1202))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((hskp27)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1201))/\((c1_1 (a1201))/\(c2_1 (a1201)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp3)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c1_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((hskp28)\/(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H2e5 zenon_H17a zenon_H1cf zenon_H173 zenon_H95 zenon_H8f zenon_H2db zenon_H54 zenon_H74 zenon_H80 zenon_H21a zenon_H174 zenon_H224 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2d7 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H12e zenon_H238 zenon_H1af zenon_Hf9 zenon_Hfb zenon_H248 zenon_H136 zenon_H21 zenon_H58 zenon_H24 zenon_Hc4 zenon_H38 zenon_H141 zenon_H143 zenon_H2cb zenon_H92 zenon_Hcd zenon_Hc7 zenon_Hc8 zenon_He3 zenon_Hab zenon_Hd8 zenon_Hda zenon_Hdc zenon_H15a zenon_H1cb. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.19 apply (zenon_L793_); trivial. % 1.01/1.19 apply (zenon_L634_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.19 apply (zenon_L793_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.19 apply (zenon_L796_); trivial. % 1.01/1.19 apply (zenon_L505_); trivial. % 1.01/1.19 apply (zenon_L519_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.19 apply (zenon_L414_); trivial. % 1.01/1.19 apply (zenon_L634_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.19 apply (zenon_L414_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.19 apply (zenon_L490_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L371_); trivial. % 1.01/1.19 apply (zenon_L704_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.19 apply (zenon_L797_); trivial. % 1.01/1.19 apply (zenon_L494_); trivial. % 1.01/1.19 apply (zenon_L799_); trivial. % 1.01/1.19 apply (zenon_L505_); trivial. % 1.01/1.19 apply (zenon_L706_); trivial. % 1.01/1.19 (* end of lemma zenon_L800_ *) % 1.01/1.19 assert (zenon_L801_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1172))) -> (c3_1 (a1172)) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c3_1 (a1179))) -> (~(c2_1 (a1179))) -> (~(c1_1 (a1179))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H145 zenon_Hdc zenon_H21a zenon_H1f0 zenon_H1f2 zenon_H165 zenon_H166 zenon_H167 zenon_H266 zenon_H267 zenon_H268 zenon_H288 zenon_Hab zenon_H15d zenon_H15c zenon_H15b zenon_H92 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H143 zenon_H141 zenon_Hc8 zenon_Hc4 zenon_Hc7 zenon_H21 zenon_Hcd. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.19 apply (zenon_L544_); trivial. % 1.01/1.19 apply (zenon_L282_); trivial. % 1.01/1.19 (* end of lemma zenon_L801_ *) % 1.01/1.19 assert (zenon_L802_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H136 zenon_H1af zenon_H12b zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_H2d7 zenon_H222 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L792_); trivial. % 1.01/1.19 apply (zenon_L119_); trivial. % 1.01/1.19 (* end of lemma zenon_L802_ *) % 1.01/1.19 assert (zenon_L803_ : ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1179)))/\((~(c2_1 (a1179)))/\(~(c3_1 (a1179))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1236))/\((c2_1 (a1236))/\(c3_1 (a1236)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp20)\/(hskp12))) -> ((hskp28)\/(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1205))/\((c3_1 (a1205))/\(~(c2_1 (a1205))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp6))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a1180))/\((~(c0_1 (a1180)))/\(~(c3_1 (a1180))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H1cb zenon_H15a zenon_H174 zenon_H92 zenon_H2cb zenon_H143 zenon_H141 zenon_H38 zenon_Hc4 zenon_H238 zenon_H24 zenon_H58 zenon_H248 zenon_H21 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H222 zenon_H2d7 zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1af zenon_H136 zenon_Hdc zenon_H21a zenon_H2db zenon_H1d9 zenon_H8f zenon_H132 zenon_H173. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.19 apply (zenon_L802_); trivial. % 1.01/1.19 apply (zenon_L603_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.19 apply (zenon_L802_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.19 apply (zenon_L610_); trivial. % 1.01/1.19 apply (zenon_L795_); trivial. % 1.01/1.19 apply (zenon_L552_); trivial. % 1.01/1.19 apply (zenon_L519_); trivial. % 1.01/1.19 (* end of lemma zenon_L803_ *) % 1.01/1.19 assert (zenon_L804_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> (c1_1 (a1168)) -> (c0_1 (a1168)) -> (~(c2_1 (a1168))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> (~(c3_1 (a1178))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_Hcd zenon_H1cf zenon_H1d9 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H74 zenon_H267 zenon_H268 zenon_H266 zenon_H132 zenon_H92 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_H5 zenon_Hab zenon_H12 zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H12b zenon_H1af zenon_H136. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.19 apply (zenon_L444_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.19 apply (zenon_L376_); trivial. % 1.01/1.19 apply (zenon_L781_); trivial. % 1.01/1.19 apply (zenon_L119_); trivial. % 1.01/1.19 (* end of lemma zenon_L804_ *) % 1.01/1.19 assert (zenon_L805_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> (~(c3_1 (a1178))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_Hdc zenon_Hda zenon_Hd8 zenon_H136 zenon_H1af zenon_H12b zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H92 zenon_H132 zenon_H266 zenon_H268 zenon_H267 zenon_H74 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_H1cf zenon_Hcd. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.19 apply (zenon_L804_); trivial. % 1.01/1.19 apply (zenon_L448_); trivial. % 1.01/1.19 (* end of lemma zenon_L805_ *) % 1.01/1.19 assert (zenon_L806_ : ((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> (~(c3_1 (a1178))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> (c0_1 (a1186)) -> (~(c3_1 (a1186))) -> (~(c2_1 (a1186))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_Hdd zenon_H21 zenon_H136 zenon_H21a zenon_H268 zenon_H267 zenon_H266 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_Hda zenon_Hd8 zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H141 zenon_H13a zenon_H139 zenon_H138 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.19 apply (zenon_L490_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.19 apply (zenon_L390_); trivial. % 1.01/1.19 apply (zenon_L533_); trivial. % 1.01/1.19 (* end of lemma zenon_L806_ *) % 1.01/1.19 assert (zenon_L807_ : ((ndr1_0)/\((c0_1 (a1186))/\((~(c2_1 (a1186)))/\(~(c3_1 (a1186)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a1187)))/\((~(c2_1 (a1187)))/\(~(c3_1 (a1187))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1190))/\((c1_1 (a1190))/\(c3_1 (a1190)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1200))/\((~(c1_1 (a1200)))/\(~(c2_1 (a1200))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/(forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c1_1 X61))\/(~(c3_1 X61))))))) -> (~(c3_1 (a1174))) -> (c0_1 (a1174)) -> (c1_1 (a1174)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp22)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp17))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c0_1 X24))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a1172)) -> (c2_1 (a1172)) -> (~(c0_1 (a1172))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(hskp5))) -> (~(c2_1 (a1169))) -> (~(c3_1 (a1169))) -> (c1_1 (a1169)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (~(c3_1 (a1178))) -> (c1_1 (a1178)) -> (c2_1 (a1178)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H145 zenon_H174 zenon_H58 zenon_H56 zenon_Hab zenon_He3 zenon_H192 zenon_Hc8 zenon_Hc7 zenon_Hcd zenon_H21 zenon_H132 zenon_H8f zenon_Hc4 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1d9 zenon_H2db zenon_H141 zenon_H143 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H92 zenon_H10c zenon_H1e8 zenon_H1f2 zenon_H214 zenon_H1f0 zenon_Hd8 zenon_Hda zenon_H294 zenon_H295 zenon_H296 zenon_Hf3 zenon_H266 zenon_H267 zenon_H268 zenon_H21a zenon_H136 zenon_Hdc. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.19 apply (zenon_L610_); trivial. % 1.01/1.19 apply (zenon_L806_); trivial. % 1.01/1.19 apply (zenon_L593_); trivial. % 1.01/1.19 (* end of lemma zenon_L807_ *) % 1.01/1.19 assert (zenon_L808_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1194))/\((~(c0_1 (a1194)))/\(~(c1_1 (a1194))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1176))) -> (c0_1 (a1176)) -> (c2_1 (a1176)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a1204))/\((~(c1_1 (a1204)))/\(~(c2_1 (a1204))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1174)) -> (c0_1 (a1174)) -> (~(c3_1 (a1174))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((hskp19)\/(hskp23))) -> (c1_1 (a1169)) -> (~(c3_1 (a1169))) -> (~(c2_1 (a1169))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a1172))) -> (c2_1 (a1172)) -> (c3_1 (a1172)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(c3_1 X4)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1218)))/\((~(c1_1 (a1218)))/\(~(c3_1 (a1218))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1211))/\((c3_1 (a1211))/\(~(c1_1 (a1211))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1182))/\((c2_1 (a1182))/\(c3_1 (a1182)))))) -> (~(c3_1 (a1178))) -> (c2_1 (a1178)) -> (c1_1 (a1178)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c0_1 X36))\/((~(c1_1 X36))\/(~(c2_1 X36)))))))) -> (~(c2_1 (a1168))) -> (c0_1 (a1168)) -> (c1_1 (a1168)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c3_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp22)\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1195))/\((~(c1_1 (a1195)))/\(~(c3_1 (a1195))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_Hdc zenon_H21a zenon_H165 zenon_H166 zenon_H167 zenon_H288 zenon_H136 zenon_H1af zenon_H12b zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hf3 zenon_H296 zenon_H295 zenon_H294 zenon_H12 zenon_Hab zenon_H1f0 zenon_H214 zenon_H1f2 zenon_H1e8 zenon_H10c zenon_H92 zenon_H132 zenon_H266 zenon_H268 zenon_H267 zenon_H74 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d9 zenon_H1cf zenon_Hcd. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.19 apply (zenon_L804_); trivial. % 1.01/1.19 apply (zenon_L282_); trivial. % 1.01/1.19 (* end of lemma zenon_L808_ *) % 1.01/1.19 apply NNPP. intro zenon_G. % 1.01/1.19 apply zenon_G. zenon_intro zenon_H2e6. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2ea. zenon_intro zenon_H2e9. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H2ec. zenon_intro zenon_H2eb. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2ee. zenon_intro zenon_H2ed. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2f0. zenon_intro zenon_H2ef. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f2. zenon_intro zenon_H2f1. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H2e5. zenon_intro zenon_H2f3. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H1cb. zenon_intro zenon_H2f4. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H173. zenon_intro zenon_H2f5. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H159. zenon_intro zenon_H2f6. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H1cc. zenon_intro zenon_H2f7. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H15a. zenon_intro zenon_H2f8. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H174. zenon_intro zenon_H2f9. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H96. zenon_intro zenon_H2fa. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_Hdc. zenon_intro zenon_H2fb. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_Hcd. zenon_intro zenon_H2fc. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H194. zenon_intro zenon_H2fd. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H21. zenon_intro zenon_H2fe. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H95. zenon_intro zenon_H2ff. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H136. zenon_intro zenon_H300. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H248. zenon_intro zenon_H301. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H21e. zenon_intro zenon_H302. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H92. zenon_intro zenon_H303. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H10c. zenon_intro zenon_H304. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H249. zenon_intro zenon_H305. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H132. zenon_intro zenon_H306. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_Hc7. zenon_intro zenon_H307. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H80. zenon_intro zenon_H308. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H38. zenon_intro zenon_H309. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H27a. zenon_intro zenon_H30a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H1c3. zenon_intro zenon_H30b. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H2e0. zenon_intro zenon_H30c. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H1cd. zenon_intro zenon_H30d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H1ad. zenon_intro zenon_H30e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H1e8. zenon_intro zenon_H30f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H311. zenon_intro zenon_H310. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H108. zenon_intro zenon_H312. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H21a. zenon_intro zenon_H313. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H315. zenon_intro zenon_H314. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_Hda. zenon_intro zenon_H316. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_He3. zenon_intro zenon_H317. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H224. zenon_intro zenon_H318. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H58. zenon_intro zenon_H319. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H31b. zenon_intro zenon_H31a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H111. zenon_intro zenon_H31c. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H77. zenon_intro zenon_H31d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H1ab. zenon_intro zenon_H31e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_Hfb. zenon_intro zenon_H31f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H192. zenon_intro zenon_H320. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H322. zenon_intro zenon_H321. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H12e. zenon_intro zenon_H323. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H8f. zenon_intro zenon_H324. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H288. zenon_intro zenon_H325. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H327. zenon_intro zenon_H326. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_Hc8. zenon_intro zenon_H328. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H2d7. zenon_intro zenon_H329. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H32b. zenon_intro zenon_H32a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H17a. zenon_intro zenon_H32c. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_Hab. zenon_intro zenon_H32d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H2cb. zenon_intro zenon_H32e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_Hc4. zenon_intro zenon_H32f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H1e. zenon_intro zenon_H330. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H1af. zenon_intro zenon_H331. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H333. zenon_intro zenon_H332. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H143. zenon_intro zenon_H334. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H54. zenon_intro zenon_H335. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H74. zenon_intro zenon_H336. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H338. zenon_intro zenon_H337. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H238. zenon_intro zenon_H339. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H33b. zenon_intro zenon_H33a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33f. zenon_intro zenon_H33e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H141. zenon_intro zenon_H340. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H2db. zenon_intro zenon_H341. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H343. zenon_intro zenon_H342. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_Hf3. zenon_intro zenon_H344. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H1d9. zenon_intro zenon_H345. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H347. zenon_intro zenon_H346. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H1cf. zenon_intro zenon_H348. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H16e. zenon_intro zenon_H349. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H34. zenon_intro zenon_H34a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H1ea. zenon_intro zenon_H34b. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H228. zenon_intro zenon_H34c. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H7. zenon_intro zenon_H34d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H24. zenon_intro zenon_H34e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_Hf. zenon_intro zenon_H34f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H17c. zenon_intro zenon_H350. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H351. zenon_intro zenon_H1ee. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H1 | zenon_intro zenon_H352 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H3 | zenon_intro zenon_H353 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_Hd | zenon_intro zenon_H354 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H355 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_L38_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H9b. zenon_intro zenon_H177. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 1.01/1.20 apply (zenon_L58_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_L89_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_L92_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_L97_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_L111_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_L94_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc3 ]. % 1.01/1.20 apply (zenon_L98_); trivial. % 1.01/1.20 apply (zenon_L113_); trivial. % 1.01/1.20 apply (zenon_L110_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H12. zenon_intro zenon_H359. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1a1. zenon_intro zenon_H35a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_L129_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_L122_); trivial. % 1.01/1.20 apply (zenon_L130_); trivial. % 1.01/1.20 apply (zenon_L161_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H12. zenon_intro zenon_H35b. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H214. zenon_intro zenon_H35c. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H355 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_L225_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_L269_); trivial. % 1.01/1.20 apply (zenon_L128_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_L184_); trivial. % 1.01/1.20 apply (zenon_L130_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L199_); trivial. % 1.01/1.20 apply (zenon_L276_); trivial. % 1.01/1.20 apply (zenon_L130_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_L4_); trivial. % 1.01/1.20 apply (zenon_L280_); trivial. % 1.01/1.20 apply (zenon_L182_); trivial. % 1.01/1.20 apply (zenon_L110_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_L4_); trivial. % 1.01/1.20 apply (zenon_L282_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H12. zenon_intro zenon_H359. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1a1. zenon_intro zenon_H35a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_L308_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_L309_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L290_); trivial. % 1.01/1.20 apply (zenon_L276_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L304_); trivial. % 1.01/1.20 apply (zenon_L110_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H12. zenon_intro zenon_H35d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H296. zenon_intro zenon_H35e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H294. zenon_intro zenon_H295. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_Hd | zenon_intro zenon_H354 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H355 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_L332_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_L321_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10d | zenon_intro zenon_H156 ]. % 1.01/1.20 apply (zenon_L347_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14a. zenon_intro zenon_H158. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H149. zenon_intro zenon_H148. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_L331_); trivial. % 1.01/1.20 apply (zenon_L351_); trivial. % 1.01/1.20 apply (zenon_L346_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H12. zenon_intro zenon_H359. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1a1. zenon_intro zenon_H35a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_L359_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_L361_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_L131_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.20 apply (zenon_L149_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H12. zenon_intro zenon_H81. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H45. zenon_intro zenon_H82. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5b. zenon_intro zenon_H43. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H107 ]. % 1.01/1.20 apply (zenon_L311_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H109. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hfe. zenon_intro zenon_H10a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hff. zenon_intro zenon_H100. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H10f | zenon_intro zenon_H12d ]. % 1.01/1.20 apply (zenon_L363_); trivial. % 1.01/1.20 apply (zenon_L366_); trivial. % 1.01/1.20 apply (zenon_L264_); trivial. % 1.01/1.20 apply (zenon_L91_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L367_); trivial. % 1.01/1.20 apply (zenon_L85_); trivial. % 1.01/1.20 apply (zenon_L370_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H12. zenon_intro zenon_H35b. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H214. zenon_intro zenon_H35c. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H355 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_L382_); trivial. % 1.01/1.20 apply (zenon_L393_); trivial. % 1.01/1.20 apply (zenon_L401_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_L374_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.20 apply (zenon_L378_); trivial. % 1.01/1.20 apply (zenon_L404_); trivial. % 1.01/1.20 apply (zenon_L381_); trivial. % 1.01/1.20 apply (zenon_L182_); trivial. % 1.01/1.20 apply (zenon_L406_); trivial. % 1.01/1.20 apply (zenon_L415_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_L382_); trivial. % 1.01/1.20 apply (zenon_L130_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L400_); trivial. % 1.01/1.20 apply (zenon_L276_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10d | zenon_intro zenon_H156 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.20 apply (zenon_L163_); trivial. % 1.01/1.20 apply (zenon_L417_); trivial. % 1.01/1.20 apply (zenon_L182_); trivial. % 1.01/1.20 apply (zenon_L422_); trivial. % 1.01/1.20 apply (zenon_L130_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14a. zenon_intro zenon_H158. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H149. zenon_intro zenon_H148. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_L374_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.20 apply (zenon_L423_); trivial. % 1.01/1.20 apply (zenon_L404_); trivial. % 1.01/1.20 apply (zenon_L381_); trivial. % 1.01/1.20 apply (zenon_L182_); trivial. % 1.01/1.20 apply (zenon_L429_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_L431_); trivial. % 1.01/1.20 apply (zenon_L381_); trivial. % 1.01/1.20 apply (zenon_L182_); trivial. % 1.01/1.20 apply (zenon_L422_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_L442_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L432_); trivial. % 1.01/1.20 apply (zenon_L443_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H12. zenon_intro zenon_H359. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1a1. zenon_intro zenon_H35a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_L447_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_L444_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.20 apply (zenon_L445_); trivial. % 1.01/1.20 apply (zenon_L387_); trivial. % 1.01/1.20 apply (zenon_L448_); trivial. % 1.01/1.20 apply (zenon_L446_); trivial. % 1.01/1.20 apply (zenon_L392_); trivial. % 1.01/1.20 apply (zenon_L450_); trivial. % 1.01/1.20 apply (zenon_L453_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_L447_); trivial. % 1.01/1.20 apply (zenon_L130_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L449_); trivial. % 1.01/1.20 apply (zenon_L276_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L452_); trivial. % 1.01/1.20 apply (zenon_L422_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H12. zenon_intro zenon_H35f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H2c3. zenon_intro zenon_H360. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H2c4. zenon_intro zenon_H2c2. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H3 | zenon_intro zenon_H353 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_Hd | zenon_intro zenon_H354 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H355 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_L520_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_L523_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_L525_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L8_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.20 apply (zenon_L527_); trivial. % 1.01/1.20 apply (zenon_L471_); trivial. % 1.01/1.20 apply (zenon_L474_); trivial. % 1.01/1.20 apply (zenon_L501_); trivial. % 1.01/1.20 apply (zenon_L483_); trivial. % 1.01/1.20 apply (zenon_L489_); trivial. % 1.01/1.20 apply (zenon_L506_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_L525_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L102_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.20 apply (zenon_L527_); trivial. % 1.01/1.20 apply (zenon_L528_); trivial. % 1.01/1.20 apply (zenon_L474_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.20 apply (zenon_L527_); trivial. % 1.01/1.20 apply (zenon_L493_); trivial. % 1.01/1.20 apply (zenon_L474_); trivial. % 1.01/1.20 apply (zenon_L514_); trivial. % 1.01/1.20 apply (zenon_L501_); trivial. % 1.01/1.20 apply (zenon_L532_); trivial. % 1.01/1.20 apply (zenon_L489_); trivial. % 1.01/1.20 apply (zenon_L537_); trivial. % 1.01/1.20 apply (zenon_L546_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_L458_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L547_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_L495_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L102_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.20 apply (zenon_L472_); trivial. % 1.01/1.20 apply (zenon_L500_); trivial. % 1.01/1.20 apply (zenon_L550_); trivial. % 1.01/1.20 apply (zenon_L83_); trivial. % 1.01/1.20 apply (zenon_L552_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L518_); trivial. % 1.01/1.20 apply (zenon_L557_); trivial. % 1.01/1.20 apply (zenon_L519_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_L523_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L8_); trivial. % 1.01/1.20 apply (zenon_L560_); trivial. % 1.01/1.20 apply (zenon_L483_); trivial. % 1.01/1.20 apply (zenon_L561_); trivial. % 1.01/1.20 apply (zenon_L563_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L102_); trivial. % 1.01/1.20 apply (zenon_L560_); trivial. % 1.01/1.20 apply (zenon_L514_); trivial. % 1.01/1.20 apply (zenon_L532_); trivial. % 1.01/1.20 apply (zenon_L561_); trivial. % 1.01/1.20 apply (zenon_L563_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_L540_); trivial. % 1.01/1.20 apply (zenon_L564_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H12. zenon_intro zenon_H359. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1a1. zenon_intro zenon_H35a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_L595_); trivial. % 1.01/1.20 apply (zenon_L604_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_L609_); trivial. % 1.01/1.20 apply (zenon_L586_); trivial. % 1.01/1.20 apply (zenon_L618_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_L621_); trivial. % 1.01/1.20 apply (zenon_L602_); trivial. % 1.01/1.20 apply (zenon_L625_); trivial. % 1.01/1.20 apply (zenon_L519_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_L595_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L633_); trivial. % 1.01/1.20 apply (zenon_L634_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L8_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.20 apply (zenon_L635_); trivial. % 1.01/1.20 apply (zenon_L608_); trivial. % 1.01/1.20 apply (zenon_L119_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb0. zenon_intro zenon_Hcc. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L8_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.20 apply (zenon_L636_); trivial. % 1.01/1.20 apply (zenon_L608_); trivial. % 1.01/1.20 apply (zenon_L119_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L8_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.20 apply (zenon_L637_); trivial. % 1.01/1.20 apply (zenon_L608_); trivial. % 1.01/1.20 apply (zenon_L119_); trivial. % 1.01/1.20 apply (zenon_L571_); trivial. % 1.01/1.20 apply (zenon_L586_); trivial. % 1.01/1.20 apply (zenon_L639_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L633_); trivial. % 1.01/1.20 apply (zenon_L641_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.20 apply (zenon_L322_); trivial. % 1.01/1.20 apply (zenon_L643_); trivial. % 1.01/1.20 apply (zenon_L644_); trivial. % 1.01/1.20 apply (zenon_L647_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L648_); trivial. % 1.01/1.20 apply (zenon_L545_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_L572_); trivial. % 1.01/1.20 apply (zenon_L649_); trivial. % 1.01/1.20 apply (zenon_L603_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L650_); trivial. % 1.01/1.20 apply (zenon_L603_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_L609_); trivial. % 1.01/1.20 apply (zenon_L649_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_L610_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L8_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.20 apply (zenon_L439_); trivial. % 1.01/1.20 apply (zenon_L651_); trivial. % 1.01/1.20 apply (zenon_L83_); trivial. % 1.01/1.20 apply (zenon_L552_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L650_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_L495_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L8_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.20 apply (zenon_L439_); trivial. % 1.01/1.20 apply (zenon_L653_); trivial. % 1.01/1.20 apply (zenon_L83_); trivial. % 1.01/1.20 apply (zenon_L552_); trivial. % 1.01/1.20 apply (zenon_L519_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L8_); trivial. % 1.01/1.20 apply (zenon_L655_); trivial. % 1.01/1.20 apply (zenon_L571_); trivial. % 1.01/1.20 apply (zenon_L657_); trivial. % 1.01/1.20 apply (zenon_L658_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_L659_); trivial. % 1.01/1.20 apply (zenon_L598_); trivial. % 1.01/1.20 apply (zenon_L658_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_L660_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L661_); trivial. % 1.01/1.20 apply (zenon_L658_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H12. zenon_intro zenon_H35b. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H214. zenon_intro zenon_H35c. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H355 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_L707_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L670_); trivial. % 1.01/1.20 apply (zenon_L603_); trivial. % 1.01/1.20 apply (zenon_L674_); trivial. % 1.01/1.20 apply (zenon_L683_); trivial. % 1.01/1.20 apply (zenon_L519_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1c5 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_L687_); trivial. % 1.01/1.20 apply (zenon_L708_); trivial. % 1.01/1.20 apply (zenon_L710_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1b2. zenon_intro zenon_H1c7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1b3. zenon_intro zenon_H1b4. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_L672_); trivial. % 1.01/1.20 apply (zenon_L711_); trivial. % 1.01/1.20 apply (zenon_L710_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L703_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_L682_); trivial. % 1.01/1.20 apply (zenon_L709_); trivial. % 1.01/1.20 apply (zenon_L716_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H12. zenon_intro zenon_H359. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1a1. zenon_intro zenon_H35a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_L298_); trivial. % 1.01/1.20 apply (zenon_L717_); trivial. % 1.01/1.20 apply (zenon_L695_); trivial. % 1.01/1.20 apply (zenon_L718_); trivial. % 1.01/1.20 apply (zenon_L721_); trivial. % 1.01/1.20 apply (zenon_L603_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L102_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.20 apply (zenon_L722_); trivial. % 1.01/1.20 apply (zenon_L119_); trivial. % 1.01/1.20 apply (zenon_L717_); trivial. % 1.01/1.20 apply (zenon_L726_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L102_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.20 apply (zenon_L727_); trivial. % 1.01/1.20 apply (zenon_L500_); trivial. % 1.01/1.20 apply (zenon_L302_); trivial. % 1.01/1.20 apply (zenon_L721_); trivial. % 1.01/1.20 apply (zenon_L728_); trivial. % 1.01/1.20 apply (zenon_L519_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_L298_); trivial. % 1.01/1.20 apply (zenon_L731_); trivial. % 1.01/1.20 apply (zenon_L695_); trivial. % 1.01/1.20 apply (zenon_L718_); trivial. % 1.01/1.20 apply (zenon_L692_); trivial. % 1.01/1.20 apply (zenon_L594_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L102_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.20 apply (zenon_L722_); trivial. % 1.01/1.20 apply (zenon_L233_); trivial. % 1.01/1.20 apply (zenon_L731_); trivial. % 1.01/1.20 apply (zenon_L726_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L102_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.20 apply (zenon_L727_); trivial. % 1.01/1.20 apply (zenon_L233_); trivial. % 1.01/1.20 apply (zenon_L302_); trivial. % 1.01/1.20 apply (zenon_L692_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_L610_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L490_); trivial. % 1.01/1.20 apply (zenon_L732_); trivial. % 1.01/1.20 apply (zenon_L505_); trivial. % 1.01/1.20 apply (zenon_L733_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_L94_); trivial. % 1.01/1.20 apply (zenon_L695_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_L94_); trivial. % 1.01/1.20 apply (zenon_L734_); trivial. % 1.01/1.20 apply (zenon_L721_); trivial. % 1.01/1.20 apply (zenon_L603_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_L94_); trivial. % 1.01/1.20 apply (zenon_L726_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hca ]. % 1.01/1.20 apply (zenon_L94_); trivial. % 1.01/1.20 apply (zenon_L735_); trivial. % 1.01/1.20 apply (zenon_L721_); trivial. % 1.01/1.20 apply (zenon_L728_); trivial. % 1.01/1.20 apply (zenon_L519_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_L659_); trivial. % 1.01/1.20 apply (zenon_L712_); trivial. % 1.01/1.20 apply (zenon_L282_); trivial. % 1.01/1.20 apply (zenon_L708_); trivial. % 1.01/1.20 apply (zenon_L736_); trivial. % 1.01/1.20 apply (zenon_L716_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H12. zenon_intro zenon_H35d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H296. zenon_intro zenon_H35e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H294. zenon_intro zenon_H295. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_Hd | zenon_intro zenon_H354 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H355 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_L749_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.20 apply (zenon_L454_); trivial. % 1.01/1.20 apply (zenon_L759_); trivial. % 1.01/1.20 apply (zenon_L766_); trivial. % 1.01/1.20 apply (zenon_L634_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_L755_); trivial. % 1.01/1.20 apply (zenon_L767_); trivial. % 1.01/1.20 apply (zenon_L759_); trivial. % 1.01/1.20 apply (zenon_L766_); trivial. % 1.01/1.20 apply (zenon_L768_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L770_); trivial. % 1.01/1.20 apply (zenon_L545_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_L745_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L744_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_L746_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H12. zenon_intro zenon_Hde. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_Hd1. zenon_intro zenon_Hdf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hcf. zenon_intro zenon_Hd0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.01/1.20 apply (zenon_L8_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H12. zenon_intro zenon_H1f. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H16. zenon_intro zenon_H20. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.20 apply (zenon_L439_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H12. zenon_intro zenon_H93. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H85. zenon_intro zenon_H94. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H86. zenon_intro zenon_H84. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hef | zenon_intro zenon_H133 ]. % 1.01/1.20 apply (zenon_L743_); trivial. % 1.01/1.20 apply (zenon_L500_); trivial. % 1.01/1.20 apply (zenon_L83_); trivial. % 1.01/1.20 apply (zenon_L552_); trivial. % 1.01/1.20 apply (zenon_L519_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H52 | zenon_intro zenon_H91 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H31 | zenon_intro zenon_H7f ]. % 1.01/1.20 apply (zenon_L771_); trivial. % 1.01/1.20 apply (zenon_L740_); trivial. % 1.01/1.20 apply (zenon_L436_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H12. zenon_intro zenon_H359. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1a1. zenon_intro zenon_H35a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_L777_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L789_); trivial. % 1.01/1.20 apply (zenon_L790_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L789_); trivial. % 1.01/1.20 apply (zenon_L647_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_L777_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L791_); trivial. % 1.01/1.20 apply (zenon_L658_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H12. zenon_intro zenon_H35b. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H214. zenon_intro zenon_H35c. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H355 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_L800_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H22 | zenon_intro zenon_H170 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L793_); trivial. % 1.01/1.20 apply (zenon_L603_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_He8. zenon_intro zenon_H172. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_He6. zenon_intro zenon_He7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L793_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_L796_); trivial. % 1.01/1.20 apply (zenon_L552_); trivial. % 1.01/1.20 apply (zenon_L519_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L432_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H8d | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_L746_); trivial. % 1.01/1.20 apply (zenon_L282_); trivial. % 1.01/1.20 apply (zenon_L709_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L432_); trivial. % 1.01/1.20 apply (zenon_L801_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H12. zenon_intro zenon_H359. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1a1. zenon_intro zenon_H35a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H356 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_L803_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L805_); trivial. % 1.01/1.20 apply (zenon_L807_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L805_); trivial. % 1.01/1.20 apply (zenon_L647_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H12. zenon_intro zenon_H357. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H166. zenon_intro zenon_H358. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H167. zenon_intro zenon_H165. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H222 | zenon_intro zenon_H2bd ]. % 1.01/1.20 apply (zenon_L803_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12. zenon_intro zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H267. zenon_intro zenon_H2bf. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H268. zenon_intro zenon_H266. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H56 | zenon_intro zenon_H1c8 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L808_); trivial. % 1.01/1.20 apply (zenon_L736_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15b. zenon_intro zenon_H1ca. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.01/1.20 apply (zenon_L808_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H12. zenon_intro zenon_H146. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H13a. zenon_intro zenon_H147. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H138. zenon_intro zenon_H139. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H5 | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_L646_); trivial. % 1.01/1.20 apply (zenon_L282_); trivial. % 1.01/1.20 Qed. % 1.01/1.20 % SZS output end Proof % 1.01/1.20 (* END-PROOF *) % 1.01/1.20 nodes searched: 35788 % 1.01/1.20 max branch formulas: 436 % 1.01/1.20 proof nodes created: 6590 % 1.01/1.20 formulas created: 38211 % 1.01/1.20 %------------------------------------------------------------------------------