%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN477+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n027.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 13:53:20 EDT 2022 % Result : Theorem 0.84s 1.05s % Output : Proof 1.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN477+1 : TPTP v8.1.0. Released v2.1.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n027.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jul 12 01:41:34 EDT 2022 % 0.12/0.33 % CPUTime : % 0.84/1.05 (* PROOF-FOUND *) % 0.84/1.05 % SZS status Theorem % 0.84/1.05 (* BEGIN-PROOF *) % 0.84/1.05 % SZS output start Proof % 0.84/1.05 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c2_1 (a1205))/\((~(c0_1 (a1205)))/\(~(c1_1 (a1205)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a1206))/\((c2_1 (a1206))/\(~(c3_1 (a1206)))))))/\(((~(hskp2))\/((ndr1_0)/\((~(c0_1 (a1207)))/\((~(c1_1 (a1207)))/\(~(c2_1 (a1207)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a1210))/\((c1_1 (a1210))/\(~(c3_1 (a1210)))))))/\(((~(hskp4))\/((ndr1_0)/\((c1_1 (a1211))/\((~(c0_1 (a1211)))/\(~(c2_1 (a1211)))))))/\(((~(hskp5))\/((ndr1_0)/\((c2_1 (a1212))/\((~(c0_1 (a1212)))/\(~(c3_1 (a1212)))))))/\(((~(hskp6))\/((ndr1_0)/\((c1_1 (a1215))/\((c2_1 (a1215))/\(~(c3_1 (a1215)))))))/\(((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1216)))/\((~(c2_1 (a1216)))/\(~(c3_1 (a1216)))))))/\(((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a1217)))/\((~(c1_1 (a1217)))/\(~(c3_1 (a1217)))))))/\(((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))))/\(((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))))/\(((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))))/\(((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233)))))))/\(((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237)))))))/\(((~(hskp18))\/((ndr1_0)/\((c2_1 (a1246))/\((c3_1 (a1246))/\(~(c1_1 (a1246)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))))/\(((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250)))))))/\(((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))))/\(((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261)))))))/\(((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208))))))/\(((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214))))))/\(((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp25)\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/(hskp26)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp25)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((hskp6)\/(hskp7)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(hskp8)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((hskp27)\/(hskp0)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp0)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp10)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11)))/\(((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12)))/\(((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12)))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10)))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68))))))))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp15)\/(hskp4)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp1)\/(hskp16)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp13)\/(hskp6)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp13)\/(hskp14)))/\(((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6)))/\(((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(hskp18)))/\(((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))/\(((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp0)))/\(((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp8)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((hskp11)\/(hskp8)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/((forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp3)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp0)\/(hskp21)))/\(((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22)))/\(((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp0)\/(hskp23)))/\(((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp1)))/\(((hskp26)\/((hskp28)\/(hskp24)))/\(((hskp26)\/((hskp25)\/(hskp1)))/\(((hskp15)\/((hskp6)\/(hskp5)))/\(((hskp3)\/((hskp24)\/(hskp7)))/\(((hskp25)\/(hskp21))/\(((hskp17)\/((hskp12)\/(hskp4)))/\(((hskp24)\/((hskp19)\/(hskp14)))/\(((hskp16)\/((hskp20)\/(hskp23)))/\(((hskp22)\/((hskp6)\/(hskp8)))/\(((hskp22)\/((hskp6)\/(hskp7)))/\(((hskp27)\/((hskp19)\/(hskp2)))/\(((hskp4)\/((hskp18)\/(hskp7)))/\(((hskp18)\/((hskp10)\/(hskp2)))/\((hskp18)\/((hskp14)\/(hskp23)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.84/1.05 Proof. % 0.84/1.05 assert (zenon_L1_ : (~(hskp15)) -> (hskp15) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1 zenon_H2. % 0.84/1.05 exact (zenon_H1 zenon_H2). % 0.84/1.05 (* end of lemma zenon_L1_ *) % 0.84/1.05 assert (zenon_L2_ : (~(hskp6)) -> (hskp6) -> False). % 0.84/1.05 do 0 intro. intros zenon_H3 zenon_H4. % 0.84/1.05 exact (zenon_H3 zenon_H4). % 0.84/1.05 (* end of lemma zenon_L2_ *) % 0.84/1.05 assert (zenon_L3_ : (~(hskp5)) -> (hskp5) -> False). % 0.84/1.05 do 0 intro. intros zenon_H5 zenon_H6. % 0.84/1.05 exact (zenon_H5 zenon_H6). % 0.84/1.05 (* end of lemma zenon_L3_ *) % 0.84/1.05 assert (zenon_L4_ : ((hskp15)\/((hskp6)\/(hskp5))) -> (~(hskp15)) -> (~(hskp6)) -> (~(hskp5)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.84/1.05 exact (zenon_H1 zenon_H2). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.84/1.05 exact (zenon_H3 zenon_H4). % 0.84/1.05 exact (zenon_H5 zenon_H6). % 0.84/1.05 (* end of lemma zenon_L4_ *) % 0.84/1.05 assert (zenon_L5_ : (~(hskp25)) -> (hskp25) -> False). % 0.84/1.05 do 0 intro. intros zenon_H9 zenon_Ha. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 (* end of lemma zenon_L5_ *) % 0.84/1.05 assert (zenon_L6_ : ((hskp25)\/(hskp21)) -> (~(hskp21)) -> (~(hskp25)) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hb zenon_Hc zenon_H9. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hb); [ zenon_intro zenon_Ha | zenon_intro zenon_Hd ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 exact (zenon_Hc zenon_Hd). % 0.84/1.05 (* end of lemma zenon_L6_ *) % 0.84/1.05 assert (zenon_L7_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.84/1.05 do 0 intro. intros zenon_He zenon_Hf. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 (* end of lemma zenon_L7_ *) % 0.84/1.05 assert (zenon_L8_ : (forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26)))))) -> (ndr1_0) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H10 zenon_Hf zenon_H11 zenon_H12 zenon_H13. % 0.84/1.05 generalize (zenon_H10 (a1233)). zenon_intro zenon_H14. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_He | zenon_intro zenon_H15 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ]. % 0.84/1.05 exact (zenon_H11 zenon_H17). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ]. % 0.84/1.05 exact (zenon_H19 zenon_H12). % 0.84/1.05 exact (zenon_H18 zenon_H13). % 0.84/1.05 (* end of lemma zenon_L8_ *) % 0.84/1.05 assert (zenon_L9_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (c0_1 (a1204)) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1a zenon_Hf zenon_H1b zenon_H1c zenon_H1d. % 0.84/1.05 generalize (zenon_H1a (a1204)). zenon_intro zenon_H1e. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_He | zenon_intro zenon_H1f ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 0.84/1.05 exact (zenon_H21 zenon_H1b). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 0.84/1.05 exact (zenon_H23 zenon_H1c). % 0.84/1.05 exact (zenon_H22 zenon_H1d). % 0.84/1.05 (* end of lemma zenon_L9_ *) % 0.84/1.05 assert (zenon_L10_ : (~(hskp10)) -> (hskp10) -> False). % 0.84/1.05 do 0 intro. intros zenon_H24 zenon_H25. % 0.84/1.05 exact (zenon_H24 zenon_H25). % 0.84/1.05 (* end of lemma zenon_L10_ *) % 0.84/1.05 assert (zenon_L11_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (~(hskp10)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H26 zenon_H27 zenon_H13 zenon_H12 zenon_H11 zenon_H24. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H10 | zenon_intro zenon_H2a ]. % 0.84/1.05 apply (zenon_L8_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H1a | zenon_intro zenon_H25 ]. % 0.84/1.05 apply (zenon_L9_); trivial. % 0.84/1.05 exact (zenon_H24 zenon_H25). % 0.84/1.05 (* end of lemma zenon_L11_ *) % 0.84/1.05 assert (zenon_L12_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H2b zenon_H27 zenon_H24 zenon_H13 zenon_H12 zenon_H11 zenon_Hc zenon_Hb. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.05 apply (zenon_L6_); trivial. % 0.84/1.05 apply (zenon_L11_); trivial. % 0.84/1.05 (* end of lemma zenon_L12_ *) % 0.84/1.05 assert (zenon_L13_ : (~(hskp22)) -> (hskp22) -> False). % 0.84/1.05 do 0 intro. intros zenon_H2c zenon_H2d. % 0.84/1.05 exact (zenon_H2c zenon_H2d). % 0.84/1.05 (* end of lemma zenon_L13_ *) % 0.84/1.05 assert (zenon_L14_ : (~(hskp7)) -> (hskp7) -> False). % 0.84/1.05 do 0 intro. intros zenon_H2e zenon_H2f. % 0.84/1.05 exact (zenon_H2e zenon_H2f). % 0.84/1.05 (* end of lemma zenon_L14_ *) % 0.84/1.05 assert (zenon_L15_ : ((hskp22)\/((hskp6)\/(hskp7))) -> (~(hskp22)) -> (~(hskp6)) -> (~(hskp7)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H30 zenon_H2c zenon_H3 zenon_H2e. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2d | zenon_intro zenon_H31 ]. % 0.84/1.05 exact (zenon_H2c zenon_H2d). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H4 | zenon_intro zenon_H2f ]. % 0.84/1.05 exact (zenon_H3 zenon_H4). % 0.84/1.05 exact (zenon_H2e zenon_H2f). % 0.84/1.05 (* end of lemma zenon_L15_ *) % 0.84/1.05 assert (zenon_L16_ : (~(hskp26)) -> (hskp26) -> False). % 0.84/1.05 do 0 intro. intros zenon_H32 zenon_H33. % 0.84/1.05 exact (zenon_H32 zenon_H33). % 0.84/1.05 (* end of lemma zenon_L16_ *) % 0.84/1.05 assert (zenon_L17_ : (~(hskp1)) -> (hskp1) -> False). % 0.84/1.05 do 0 intro. intros zenon_H34 zenon_H35. % 0.84/1.05 exact (zenon_H34 zenon_H35). % 0.84/1.05 (* end of lemma zenon_L17_ *) % 0.84/1.05 assert (zenon_L18_ : ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp26)) -> (~(hskp25)) -> (~(hskp1)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H36 zenon_H32 zenon_H9 zenon_H34. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H33 | zenon_intro zenon_H37 ]. % 0.84/1.05 exact (zenon_H32 zenon_H33). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_Ha | zenon_intro zenon_H35 ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 exact (zenon_H34 zenon_H35). % 0.84/1.05 (* end of lemma zenon_L18_ *) % 0.84/1.05 assert (zenon_L19_ : (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (~(c2_1 (a1259))) -> (~(c3_1 (a1259))) -> (c0_1 (a1259)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H38 zenon_Hf zenon_H39 zenon_H3a zenon_H3b. % 0.84/1.05 generalize (zenon_H38 (a1259)). zenon_intro zenon_H3c. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_He | zenon_intro zenon_H3d ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.84/1.05 exact (zenon_H39 zenon_H3f). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ]. % 0.84/1.05 exact (zenon_H3a zenon_H41). % 0.84/1.05 exact (zenon_H40 zenon_H3b). % 0.84/1.05 (* end of lemma zenon_L19_ *) % 0.84/1.05 assert (zenon_L20_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (c0_1 (a1208)) -> (c1_1 (a1208)) -> (c2_1 (a1208)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H42 zenon_Hf zenon_H43 zenon_H44 zenon_H45. % 0.84/1.05 generalize (zenon_H42 (a1208)). zenon_intro zenon_H46. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_He | zenon_intro zenon_H47 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ]. % 0.84/1.05 exact (zenon_H49 zenon_H43). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ]. % 0.84/1.05 exact (zenon_H4b zenon_H44). % 0.84/1.05 exact (zenon_H4a zenon_H45). % 0.84/1.05 (* end of lemma zenon_L20_ *) % 0.84/1.05 assert (zenon_L21_ : ((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c0_1 (a1259)) -> (~(c3_1 (a1259))) -> (~(c2_1 (a1259))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H4c zenon_H4d zenon_H3b zenon_H3a zenon_H39. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H38 | zenon_intro zenon_H42 ]. % 0.84/1.05 apply (zenon_L19_); trivial. % 0.84/1.05 apply (zenon_L20_); trivial. % 0.84/1.05 (* end of lemma zenon_L21_ *) % 0.84/1.05 assert (zenon_L22_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c0_1 (a1259)) -> (~(c3_1 (a1259))) -> (~(c2_1 (a1259))) -> (~(hskp25)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H50 zenon_H4d zenon_H3b zenon_H3a zenon_H39 zenon_H9 zenon_H34 zenon_H36. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.84/1.05 apply (zenon_L18_); trivial. % 0.84/1.05 apply (zenon_L21_); trivial. % 0.84/1.05 (* end of lemma zenon_L22_ *) % 0.84/1.05 assert (zenon_L23_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a1257))) -> (~(c1_1 (a1257))) -> (c3_1 (a1257)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H51 zenon_Hf zenon_H52 zenon_H53 zenon_H54. % 0.84/1.05 generalize (zenon_H51 (a1257)). zenon_intro zenon_H55. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H55); [ zenon_intro zenon_He | zenon_intro zenon_H56 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 0.84/1.05 exact (zenon_H52 zenon_H58). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H5a | zenon_intro zenon_H59 ]. % 0.84/1.05 exact (zenon_H53 zenon_H5a). % 0.84/1.05 exact (zenon_H59 zenon_H54). % 0.84/1.05 (* end of lemma zenon_L23_ *) % 0.84/1.05 assert (zenon_L24_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (c0_1 (a1259)) -> (~(c3_1 (a1259))) -> (~(c2_1 (a1259))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H26 zenon_H5b zenon_H54 zenon_H53 zenon_H52 zenon_H3b zenon_H3a zenon_H39. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.84/1.05 apply (zenon_L23_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.84/1.05 apply (zenon_L19_); trivial. % 0.84/1.05 apply (zenon_L9_); trivial. % 0.84/1.05 (* end of lemma zenon_L24_ *) % 0.84/1.05 assert (zenon_L25_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H5d zenon_H2b zenon_H5b zenon_H54 zenon_H53 zenon_H52 zenon_H36 zenon_H34 zenon_H4d zenon_H50. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.05 apply (zenon_L22_); trivial. % 0.84/1.05 apply (zenon_L24_); trivial. % 0.84/1.05 (* end of lemma zenon_L25_ *) % 0.84/1.05 assert (zenon_L26_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp6)) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H60 zenon_H61 zenon_H2b zenon_H5b zenon_H36 zenon_H34 zenon_H4d zenon_H50 zenon_H3 zenon_H2e zenon_H30. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.84/1.05 apply (zenon_L15_); trivial. % 0.84/1.05 apply (zenon_L25_); trivial. % 0.84/1.05 (* end of lemma zenon_L26_ *) % 0.84/1.05 assert (zenon_L27_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp6)) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((hskp25)\/(hskp21)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H64 zenon_H61 zenon_H5b zenon_H36 zenon_H34 zenon_H4d zenon_H50 zenon_H3 zenon_H2e zenon_H30 zenon_Hb zenon_H11 zenon_H12 zenon_H13 zenon_H24 zenon_H27 zenon_H2b. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.05 apply (zenon_L12_); trivial. % 0.84/1.05 apply (zenon_L26_); trivial. % 0.84/1.05 (* end of lemma zenon_L27_ *) % 0.84/1.05 assert (zenon_L28_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H65 zenon_Hf zenon_H66 zenon_H67 zenon_H68 zenon_H69. % 0.84/1.05 generalize (zenon_H65 (a1223)). zenon_intro zenon_H6a. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H6a); [ zenon_intro zenon_He | zenon_intro zenon_H6b ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 0.84/1.05 generalize (zenon_H66 (a1223)). zenon_intro zenon_H6e. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H6e); [ zenon_intro zenon_He | zenon_intro zenon_H6f ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H71 | zenon_intro zenon_H70 ]. % 0.84/1.05 exact (zenon_H67 zenon_H71). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 0.84/1.05 exact (zenon_H68 zenon_H73). % 0.84/1.05 exact (zenon_H72 zenon_H6d). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H73 | zenon_intro zenon_H74 ]. % 0.84/1.05 exact (zenon_H68 zenon_H73). % 0.84/1.05 exact (zenon_H74 zenon_H69). % 0.84/1.05 (* end of lemma zenon_L28_ *) % 0.84/1.05 assert (zenon_L29_ : (~(hskp17)) -> (hskp17) -> False). % 0.84/1.05 do 0 intro. intros zenon_H75 zenon_H76. % 0.84/1.05 exact (zenon_H75 zenon_H76). % 0.84/1.05 (* end of lemma zenon_L29_ *) % 0.84/1.05 assert (zenon_L30_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (c2_1 (a1223)) -> (~(c3_1 (a1223))) -> (~(c1_1 (a1223))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (~(hskp17)) -> (~(hskp5)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H77 zenon_H69 zenon_H68 zenon_H67 zenon_Hf zenon_H65 zenon_H75 zenon_H5. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H66 | zenon_intro zenon_H78 ]. % 0.84/1.05 apply (zenon_L28_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H76 | zenon_intro zenon_H6 ]. % 0.84/1.05 exact (zenon_H75 zenon_H76). % 0.84/1.05 exact (zenon_H5 zenon_H6). % 0.84/1.05 (* end of lemma zenon_L30_ *) % 0.84/1.05 assert (zenon_L31_ : (~(hskp11)) -> (hskp11) -> False). % 0.84/1.05 do 0 intro. intros zenon_H79 zenon_H7a. % 0.84/1.05 exact (zenon_H79 zenon_H7a). % 0.84/1.05 (* end of lemma zenon_L31_ *) % 0.84/1.05 assert (zenon_L32_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> (~(hskp17)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H7b zenon_H79 zenon_Hf zenon_H67 zenon_H68 zenon_H69 zenon_H75 zenon_H5 zenon_H77. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H65 | zenon_intro zenon_H7a ]. % 0.84/1.05 apply (zenon_L30_); trivial. % 0.84/1.05 exact (zenon_H79 zenon_H7a). % 0.84/1.05 (* end of lemma zenon_L32_ *) % 0.84/1.05 assert (zenon_L33_ : (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74)))))) -> (ndr1_0) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H7c zenon_Hf zenon_H67 zenon_H68 zenon_H69. % 0.84/1.05 generalize (zenon_H7c (a1223)). zenon_intro zenon_H7d. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H7d); [ zenon_intro zenon_He | zenon_intro zenon_H7e ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H71 | zenon_intro zenon_H6c ]. % 0.84/1.05 exact (zenon_H67 zenon_H71). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H73 | zenon_intro zenon_H74 ]. % 0.84/1.05 exact (zenon_H68 zenon_H73). % 0.84/1.05 exact (zenon_H74 zenon_H69). % 0.84/1.05 (* end of lemma zenon_L33_ *) % 0.84/1.05 assert (zenon_L34_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a1237))) -> (c0_1 (a1237)) -> (c3_1 (a1237)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H7f zenon_Hf zenon_H80 zenon_H81 zenon_H82. % 0.84/1.05 generalize (zenon_H7f (a1237)). zenon_intro zenon_H83. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H83); [ zenon_intro zenon_He | zenon_intro zenon_H84 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H86 | zenon_intro zenon_H85 ]. % 0.84/1.05 exact (zenon_H80 zenon_H86). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H88 | zenon_intro zenon_H87 ]. % 0.84/1.05 exact (zenon_H88 zenon_H81). % 0.84/1.05 exact (zenon_H87 zenon_H82). % 0.84/1.05 (* end of lemma zenon_L34_ *) % 0.84/1.05 assert (zenon_L35_ : (~(hskp9)) -> (hskp9) -> False). % 0.84/1.05 do 0 intro. intros zenon_H89 zenon_H8a. % 0.84/1.05 exact (zenon_H89 zenon_H8a). % 0.84/1.05 (* end of lemma zenon_L35_ *) % 0.84/1.05 assert (zenon_L36_ : ((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (c2_1 (a1223)) -> (~(c3_1 (a1223))) -> (~(c1_1 (a1223))) -> (~(hskp9)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H8b zenon_H8c zenon_H69 zenon_H68 zenon_H67 zenon_H89. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.84/1.05 apply (zenon_L33_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.84/1.05 apply (zenon_L34_); trivial. % 0.84/1.05 exact (zenon_H89 zenon_H8a). % 0.84/1.05 (* end of lemma zenon_L36_ *) % 0.84/1.05 assert (zenon_L37_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1223)) -> (~(c3_1 (a1223))) -> (~(c1_1 (a1223))) -> (ndr1_0) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H90 zenon_H8c zenon_H89 zenon_H77 zenon_H5 zenon_H69 zenon_H68 zenon_H67 zenon_Hf zenon_H79 zenon_H7b. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.84/1.05 apply (zenon_L32_); trivial. % 0.84/1.05 apply (zenon_L36_); trivial. % 0.84/1.05 (* end of lemma zenon_L37_ *) % 0.84/1.05 assert (zenon_L38_ : (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37)))))) -> (ndr1_0) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H91 zenon_Hf zenon_H92 zenon_H93 zenon_H94. % 0.84/1.05 generalize (zenon_H91 (a1224)). zenon_intro zenon_H95. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H95); [ zenon_intro zenon_He | zenon_intro zenon_H96 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ]. % 0.84/1.05 exact (zenon_H92 zenon_H98). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ]. % 0.84/1.05 exact (zenon_H9a zenon_H93). % 0.84/1.05 exact (zenon_H99 zenon_H94). % 0.84/1.05 (* end of lemma zenon_L38_ *) % 0.84/1.05 assert (zenon_L39_ : (~(hskp14)) -> (hskp14) -> False). % 0.84/1.05 do 0 intro. intros zenon_H9b zenon_H9c. % 0.84/1.05 exact (zenon_H9b zenon_H9c). % 0.84/1.05 (* end of lemma zenon_L39_ *) % 0.84/1.05 assert (zenon_L40_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (c2_1 (a1223)) -> (~(c3_1 (a1223))) -> (~(c1_1 (a1223))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H9d zenon_H69 zenon_H68 zenon_H67 zenon_H94 zenon_H93 zenon_H92 zenon_Hf zenon_H9b. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H7c | zenon_intro zenon_H9e ]. % 0.84/1.05 apply (zenon_L33_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H91 | zenon_intro zenon_H9c ]. % 0.84/1.05 apply (zenon_L38_); trivial. % 0.84/1.05 exact (zenon_H9b zenon_H9c). % 0.84/1.05 (* end of lemma zenon_L40_ *) % 0.84/1.05 assert (zenon_L41_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H9f zenon_Hf zenon_Ha0 zenon_Ha1 zenon_Ha2. % 0.84/1.05 generalize (zenon_H9f (a1232)). zenon_intro zenon_Ha3. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_Ha3); [ zenon_intro zenon_He | zenon_intro zenon_Ha4 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha5 ]. % 0.84/1.05 exact (zenon_Ha0 zenon_Ha6). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ]. % 0.84/1.05 exact (zenon_Ha1 zenon_Ha8). % 0.84/1.05 exact (zenon_Ha7 zenon_Ha2). % 0.84/1.05 (* end of lemma zenon_L41_ *) % 0.84/1.05 assert (zenon_L42_ : ((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H4c zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H94 zenon_H93 zenon_H92. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.84/1.05 apply (zenon_L41_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.84/1.05 apply (zenon_L38_); trivial. % 0.84/1.05 apply (zenon_L20_); trivial. % 0.84/1.05 (* end of lemma zenon_L42_ *) % 0.84/1.05 assert (zenon_L43_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(hskp25)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H50 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H9 zenon_H34 zenon_H36. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.84/1.05 apply (zenon_L18_); trivial. % 0.84/1.05 apply (zenon_L42_); trivial. % 0.84/1.05 (* end of lemma zenon_L43_ *) % 0.84/1.05 assert (zenon_L44_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a1204))) -> (c0_1 (a1204)) -> (c3_1 (a1204)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H7f zenon_Hf zenon_Hab zenon_H1b zenon_H1d. % 0.84/1.05 generalize (zenon_H7f (a1204)). zenon_intro zenon_Hac. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_Hac); [ zenon_intro zenon_He | zenon_intro zenon_Had ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_Haf | zenon_intro zenon_Hae ]. % 0.84/1.05 exact (zenon_Hab zenon_Haf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ]. % 0.84/1.05 exact (zenon_H21 zenon_H1b). % 0.84/1.05 exact (zenon_H22 zenon_H1d). % 0.84/1.05 (* end of lemma zenon_L44_ *) % 0.84/1.05 assert (zenon_L45_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (c0_1 (a1204)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H42 zenon_Hf zenon_H1b zenon_H7f zenon_H1d zenon_H1c. % 0.84/1.05 generalize (zenon_H42 (a1204)). zenon_intro zenon_Hb0. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_Hb0); [ zenon_intro zenon_He | zenon_intro zenon_Hb1 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H21 | zenon_intro zenon_Hb2 ]. % 0.84/1.05 exact (zenon_H21 zenon_H1b). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hab | zenon_intro zenon_H23 ]. % 0.84/1.05 apply (zenon_L44_); trivial. % 0.84/1.05 exact (zenon_H23 zenon_H1c). % 0.84/1.05 (* end of lemma zenon_L45_ *) % 0.84/1.05 assert (zenon_L46_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (c2_1 (a1223)) -> (~(c3_1 (a1223))) -> (~(c1_1 (a1223))) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> (c0_1 (a1204)) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (~(hskp9)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H8c zenon_H69 zenon_H68 zenon_H67 zenon_H1c zenon_H1d zenon_H1b zenon_Hf zenon_H42 zenon_H89. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.84/1.05 apply (zenon_L33_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.84/1.05 apply (zenon_L45_); trivial. % 0.84/1.05 exact (zenon_H89 zenon_H8a). % 0.84/1.05 (* end of lemma zenon_L46_ *) % 0.84/1.05 assert (zenon_L47_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (c2_1 (a1223)) -> (~(c3_1 (a1223))) -> (~(c1_1 (a1223))) -> (~(hskp9)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H26 zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H94 zenon_H93 zenon_H92 zenon_H8c zenon_H69 zenon_H68 zenon_H67 zenon_H89. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.84/1.05 apply (zenon_L41_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.84/1.05 apply (zenon_L38_); trivial. % 0.84/1.05 apply (zenon_L46_); trivial. % 0.84/1.05 (* end of lemma zenon_L47_ *) % 0.84/1.05 assert (zenon_L48_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_H2b zenon_H89 zenon_H8c zenon_H36 zenon_H34 zenon_Ha9 zenon_H50 zenon_H67 zenon_H68 zenon_H69 zenon_H9d. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.84/1.05 apply (zenon_L40_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.05 apply (zenon_L43_); trivial. % 0.84/1.05 apply (zenon_L47_); trivial. % 0.84/1.05 (* end of lemma zenon_L48_ *) % 0.84/1.05 assert (zenon_L49_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (ndr1_0) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hba zenon_Hb4 zenon_H2b zenon_H36 zenon_H34 zenon_Ha9 zenon_H50 zenon_H9d zenon_H7b zenon_Hf zenon_H67 zenon_H68 zenon_H69 zenon_H5 zenon_H77 zenon_H89 zenon_H8c zenon_H90. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.84/1.05 apply (zenon_L37_); trivial. % 0.84/1.05 apply (zenon_L48_); trivial. % 0.84/1.05 (* end of lemma zenon_L49_ *) % 0.84/1.05 assert (zenon_L50_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hbb zenon_Hf zenon_Hbc zenon_Hbd zenon_Hbe. % 0.84/1.05 generalize (zenon_Hbb (a1219)). zenon_intro zenon_Hbf. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_Hbf); [ zenon_intro zenon_He | zenon_intro zenon_Hc0 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hc1 ]. % 0.84/1.05 exact (zenon_Hbc zenon_Hc2). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ]. % 0.84/1.05 exact (zenon_Hc4 zenon_Hbd). % 0.84/1.05 exact (zenon_Hc3 zenon_Hbe). % 0.84/1.05 (* end of lemma zenon_L50_ *) % 0.84/1.05 assert (zenon_L51_ : ((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(hskp1)) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hc5 zenon_Hc6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H34. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc9 ]. % 0.84/1.05 apply (zenon_L50_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H10 | zenon_intro zenon_H35 ]. % 0.84/1.05 apply (zenon_L8_); trivial. % 0.84/1.05 exact (zenon_H34 zenon_H35). % 0.84/1.05 (* end of lemma zenon_L51_ *) % 0.84/1.05 assert (zenon_L52_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hca zenon_Hc6 zenon_H34 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H3 zenon_H5 zenon_H7. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.84/1.05 apply (zenon_L4_); trivial. % 0.84/1.05 apply (zenon_L51_); trivial. % 0.84/1.05 (* end of lemma zenon_L52_ *) % 0.84/1.05 assert (zenon_L53_ : (forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61))))) -> (ndr1_0) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hcb zenon_Hf zenon_Hcc zenon_Hcd zenon_Hce. % 0.84/1.05 generalize (zenon_Hcb (a1216)). zenon_intro zenon_Hcf. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_Hcf); [ zenon_intro zenon_He | zenon_intro zenon_Hd0 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd1 ]. % 0.84/1.05 exact (zenon_Hcc zenon_Hd2). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.84/1.05 exact (zenon_Hcd zenon_Hd4). % 0.84/1.05 exact (zenon_Hce zenon_Hd3). % 0.84/1.05 (* end of lemma zenon_L53_ *) % 0.84/1.05 assert (zenon_L54_ : (~(hskp13)) -> (hskp13) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hd5 zenon_Hd6. % 0.84/1.05 exact (zenon_Hd5 zenon_Hd6). % 0.84/1.05 (* end of lemma zenon_L54_ *) % 0.84/1.05 assert (zenon_L55_ : (~(hskp12)) -> (hskp12) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hd7 zenon_Hd8. % 0.84/1.05 exact (zenon_Hd7 zenon_Hd8). % 0.84/1.05 (* end of lemma zenon_L55_ *) % 0.84/1.05 assert (zenon_L56_ : ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp12)) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hd9 zenon_Hce zenon_Hcd zenon_Hcc zenon_Hf zenon_Hd5 zenon_Hd7. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hda ]. % 0.84/1.05 apply (zenon_L53_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hd8 ]. % 0.84/1.05 exact (zenon_Hd5 zenon_Hd6). % 0.84/1.05 exact (zenon_Hd7 zenon_Hd8). % 0.84/1.05 (* end of lemma zenon_L56_ *) % 0.84/1.05 assert (zenon_L57_ : (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74)))))) -> (ndr1_0) -> (~(c1_1 (a1229))) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H7c zenon_Hf zenon_Hdb zenon_H1a zenon_Hdc zenon_Hdd. % 0.84/1.05 generalize (zenon_H7c (a1229)). zenon_intro zenon_Hde. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_Hde); [ zenon_intro zenon_He | zenon_intro zenon_Hdf ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_He1 | zenon_intro zenon_He0 ]. % 0.84/1.05 exact (zenon_Hdb zenon_He1). % 0.84/1.05 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 0.84/1.05 generalize (zenon_H1a (a1229)). zenon_intro zenon_He4. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_He4); [ zenon_intro zenon_He | zenon_intro zenon_He5 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ]. % 0.84/1.05 exact (zenon_He7 zenon_Hdc). % 0.84/1.05 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He2 | zenon_intro zenon_He8 ]. % 0.84/1.05 exact (zenon_He2 zenon_Hdd). % 0.84/1.05 exact (zenon_He8 zenon_He3). % 0.84/1.05 exact (zenon_He2 zenon_Hdd). % 0.84/1.05 (* end of lemma zenon_L57_ *) % 0.84/1.05 assert (zenon_L58_ : ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (ndr1_0) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74)))))) -> (~(hskp10)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H27 zenon_H13 zenon_H12 zenon_H11 zenon_Hdd zenon_Hdc zenon_Hdb zenon_Hf zenon_H7c zenon_H24. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H10 | zenon_intro zenon_H2a ]. % 0.84/1.05 apply (zenon_L8_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H1a | zenon_intro zenon_H25 ]. % 0.84/1.05 apply (zenon_L57_); trivial. % 0.84/1.05 exact (zenon_H24 zenon_H25). % 0.84/1.05 (* end of lemma zenon_L58_ *) % 0.84/1.05 assert (zenon_L59_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c3_1 (a1229)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H7f zenon_Hf zenon_Hdb zenon_Hdc zenon_He3. % 0.84/1.05 generalize (zenon_H7f (a1229)). zenon_intro zenon_He9. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_He9); [ zenon_intro zenon_He | zenon_intro zenon_Hea ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_He1 | zenon_intro zenon_Heb ]. % 0.84/1.05 exact (zenon_Hdb zenon_He1). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He7 | zenon_intro zenon_He8 ]. % 0.84/1.05 exact (zenon_He7 zenon_Hdc). % 0.84/1.05 exact (zenon_He8 zenon_He3). % 0.84/1.05 (* end of lemma zenon_L59_ *) % 0.84/1.05 assert (zenon_L60_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a1229))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c0_1 (a1229)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H66 zenon_Hf zenon_Hdb zenon_H7f zenon_Hdc. % 0.84/1.05 generalize (zenon_H66 (a1229)). zenon_intro zenon_Hec. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_Hec); [ zenon_intro zenon_He | zenon_intro zenon_Hed ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_He1 | zenon_intro zenon_Hee ]. % 0.84/1.05 exact (zenon_Hdb zenon_He1). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 0.84/1.05 apply (zenon_L59_); trivial. % 0.84/1.05 exact (zenon_He7 zenon_Hdc). % 0.84/1.05 (* end of lemma zenon_L60_ *) % 0.84/1.05 assert (zenon_L61_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp10)) -> (c2_1 (a1229)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (~(hskp9)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H8c zenon_H24 zenon_Hdd zenon_H11 zenon_H12 zenon_H13 zenon_H27 zenon_Hdc zenon_Hdb zenon_Hf zenon_H66 zenon_H89. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.84/1.05 apply (zenon_L58_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.84/1.05 apply (zenon_L60_); trivial. % 0.84/1.05 exact (zenon_H89 zenon_H8a). % 0.84/1.05 (* end of lemma zenon_L61_ *) % 0.84/1.05 assert (zenon_L62_ : ((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp10)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp9)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H8b zenon_H8c zenon_H24 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H11 zenon_H12 zenon_H13 zenon_H27 zenon_H89. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.84/1.05 apply (zenon_L58_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.84/1.05 apply (zenon_L34_); trivial. % 0.84/1.05 exact (zenon_H89 zenon_H8a). % 0.84/1.05 (* end of lemma zenon_L62_ *) % 0.84/1.05 assert (zenon_L63_ : ((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hc5 zenon_H90 zenon_H8c zenon_H89 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H24 zenon_H27 zenon_H5 zenon_H77. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H66 | zenon_intro zenon_H78 ]. % 0.84/1.05 apply (zenon_L61_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H76 | zenon_intro zenon_H6 ]. % 0.84/1.05 exact (zenon_H75 zenon_H76). % 0.84/1.05 exact (zenon_H5 zenon_H6). % 0.84/1.05 apply (zenon_L62_); trivial. % 0.84/1.05 (* end of lemma zenon_L63_ *) % 0.84/1.05 assert (zenon_L64_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hca zenon_H90 zenon_H8c zenon_H89 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H24 zenon_H27 zenon_H77 zenon_H3 zenon_H5 zenon_H7. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.84/1.05 apply (zenon_L4_); trivial. % 0.84/1.05 apply (zenon_L63_); trivial. % 0.84/1.05 (* end of lemma zenon_L64_ *) % 0.84/1.05 assert (zenon_L65_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hef zenon_Hca zenon_H90 zenon_H8c zenon_H89 zenon_H24 zenon_H27 zenon_H77 zenon_H3 zenon_H5 zenon_H7. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.84/1.05 apply (zenon_L64_); trivial. % 0.84/1.05 (* end of lemma zenon_L65_ *) % 0.84/1.05 assert (zenon_L66_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> (ndr1_0) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hf2 zenon_Hca zenon_H90 zenon_H8c zenon_H89 zenon_H24 zenon_H27 zenon_H77 zenon_H3 zenon_H5 zenon_H7 zenon_Hf zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd7 zenon_Hd9. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.84/1.05 apply (zenon_L56_); trivial. % 0.84/1.05 apply (zenon_L65_); trivial. % 0.84/1.05 (* end of lemma zenon_L66_ *) % 0.84/1.05 assert (zenon_L67_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c0_1 (a1228)) -> (forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7)))))) -> (~(c2_1 (a1228))) -> (c3_1 (a1228)) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hf3 zenon_Hf zenon_Hf4 zenon_Hf5 zenon_Hf6 zenon_Hf7. % 0.84/1.05 generalize (zenon_Hf3 (a1228)). zenon_intro zenon_Hf8. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_Hf8); [ zenon_intro zenon_He | zenon_intro zenon_Hf9 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ]. % 0.84/1.05 exact (zenon_Hfb zenon_Hf4). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hfd | zenon_intro zenon_Hfc ]. % 0.84/1.05 generalize (zenon_Hf5 (a1228)). zenon_intro zenon_Hfe. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_Hfe); [ zenon_intro zenon_He | zenon_intro zenon_Hff ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H101 | zenon_intro zenon_H100 ]. % 0.84/1.05 exact (zenon_Hfd zenon_H101). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H102 | zenon_intro zenon_Hfc ]. % 0.84/1.05 exact (zenon_Hf6 zenon_H102). % 0.84/1.05 exact (zenon_Hfc zenon_Hf7). % 0.84/1.05 exact (zenon_Hfc zenon_Hf7). % 0.84/1.05 (* end of lemma zenon_L67_ *) % 0.84/1.05 assert (zenon_L68_ : (~(hskp16)) -> (hskp16) -> False). % 0.84/1.05 do 0 intro. intros zenon_H103 zenon_H104. % 0.84/1.05 exact (zenon_H103 zenon_H104). % 0.84/1.05 (* end of lemma zenon_L68_ *) % 0.84/1.05 assert (zenon_L69_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp1)\/(hskp16))) -> (c3_1 (a1228)) -> (~(c2_1 (a1228))) -> (c0_1 (a1228)) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (~(hskp1)) -> (~(hskp16)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H105 zenon_Hf7 zenon_Hf6 zenon_Hf4 zenon_Hf zenon_Hf3 zenon_H34 zenon_H103. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H106 ]. % 0.84/1.05 apply (zenon_L67_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H35 | zenon_intro zenon_H104 ]. % 0.84/1.05 exact (zenon_H34 zenon_H35). % 0.84/1.05 exact (zenon_H103 zenon_H104). % 0.84/1.05 (* end of lemma zenon_L69_ *) % 0.84/1.05 assert (zenon_L70_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (~(hskp16)) -> (~(hskp1)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (c3_1 (a1228)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp1)\/(hskp16))) -> (~(hskp5)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H60 zenon_H107 zenon_H103 zenon_H34 zenon_Hf4 zenon_Hf6 zenon_Hf7 zenon_H105 zenon_H5. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H51 | zenon_intro zenon_H108 ]. % 0.84/1.05 apply (zenon_L23_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H6 ]. % 0.84/1.05 apply (zenon_L69_); trivial. % 0.84/1.05 exact (zenon_H5 zenon_H6). % 0.84/1.05 (* end of lemma zenon_L70_ *) % 0.84/1.05 assert (zenon_L71_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (c3_1 (a1228)) -> (~(hskp1)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp1)\/(hskp16))) -> ((hskp25)\/(hskp21)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H64 zenon_H107 zenon_H5 zenon_Hf4 zenon_Hf6 zenon_Hf7 zenon_H34 zenon_H103 zenon_H105 zenon_Hb zenon_H11 zenon_H12 zenon_H13 zenon_H24 zenon_H27 zenon_H2b. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.05 apply (zenon_L12_); trivial. % 0.84/1.05 apply (zenon_L70_); trivial. % 0.84/1.05 (* end of lemma zenon_L71_ *) % 0.84/1.05 assert (zenon_L72_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H66 zenon_Hf zenon_H109 zenon_H10a zenon_H10b. % 0.84/1.05 generalize (zenon_H66 (a1236)). zenon_intro zenon_H10c. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H10c); [ zenon_intro zenon_He | zenon_intro zenon_H10d ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H10f | zenon_intro zenon_H10e ]. % 0.84/1.05 exact (zenon_H109 zenon_H10f). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H111 | zenon_intro zenon_H110 ]. % 0.84/1.05 exact (zenon_H10a zenon_H111). % 0.84/1.05 exact (zenon_H110 zenon_H10b). % 0.84/1.05 (* end of lemma zenon_L72_ *) % 0.84/1.05 assert (zenon_L73_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp5)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H77 zenon_H10b zenon_H10a zenon_H109 zenon_Hf zenon_H75 zenon_H5. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H66 | zenon_intro zenon_H78 ]. % 0.84/1.05 apply (zenon_L72_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H76 | zenon_intro zenon_H6 ]. % 0.84/1.05 exact (zenon_H75 zenon_H76). % 0.84/1.05 exact (zenon_H5 zenon_H6). % 0.84/1.05 (* end of lemma zenon_L73_ *) % 0.84/1.05 assert (zenon_L74_ : ((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp22)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H4c zenon_H112 zenon_Hd5 zenon_H2c. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H42 | zenon_intro zenon_H113 ]. % 0.84/1.05 apply (zenon_L20_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H2d ]. % 0.84/1.05 exact (zenon_Hd5 zenon_Hd6). % 0.84/1.05 exact (zenon_H2c zenon_H2d). % 0.84/1.05 (* end of lemma zenon_L74_ *) % 0.84/1.05 assert (zenon_L75_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp22)) -> (~(hskp13)) -> (~(hskp25)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H50 zenon_H112 zenon_H2c zenon_Hd5 zenon_H9 zenon_H34 zenon_H36. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.84/1.05 apply (zenon_L18_); trivial. % 0.84/1.05 apply (zenon_L74_); trivial. % 0.84/1.05 (* end of lemma zenon_L75_ *) % 0.84/1.05 assert (zenon_L76_ : (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74)))))) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H38 zenon_Hf zenon_H7c zenon_H109 zenon_H10a zenon_H10b. % 0.84/1.05 generalize (zenon_H38 (a1236)). zenon_intro zenon_H114. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H114); [ zenon_intro zenon_He | zenon_intro zenon_H115 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H116 | zenon_intro zenon_H10e ]. % 0.84/1.05 generalize (zenon_H7c (a1236)). zenon_intro zenon_H117. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H117); [ zenon_intro zenon_He | zenon_intro zenon_H118 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10f | zenon_intro zenon_H119 ]. % 0.84/1.05 exact (zenon_H109 zenon_H10f). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H111 | zenon_intro zenon_H11a ]. % 0.84/1.05 exact (zenon_H10a zenon_H111). % 0.84/1.05 exact (zenon_H11a zenon_H116). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H111 | zenon_intro zenon_H110 ]. % 0.84/1.05 exact (zenon_H10a zenon_H111). % 0.84/1.05 exact (zenon_H110 zenon_H10b). % 0.84/1.05 (* end of lemma zenon_L76_ *) % 0.84/1.05 assert (zenon_L77_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H8c zenon_H10b zenon_H10a zenon_H109 zenon_H38 zenon_H82 zenon_H81 zenon_H80 zenon_Hf zenon_H89. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.84/1.05 apply (zenon_L76_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.84/1.05 apply (zenon_L34_); trivial. % 0.84/1.05 exact (zenon_H89 zenon_H8a). % 0.84/1.05 (* end of lemma zenon_L77_ *) % 0.84/1.05 assert (zenon_L78_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(hskp9)) -> (~(c1_1 (a1237))) -> (c0_1 (a1237)) -> (c3_1 (a1237)) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H26 zenon_H5b zenon_H54 zenon_H53 zenon_H52 zenon_H89 zenon_H80 zenon_H81 zenon_H82 zenon_H109 zenon_H10a zenon_H10b zenon_H8c. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.84/1.05 apply (zenon_L23_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.84/1.05 apply (zenon_L77_); trivial. % 0.84/1.05 apply (zenon_L9_); trivial. % 0.84/1.05 (* end of lemma zenon_L78_ *) % 0.84/1.05 assert (zenon_L79_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H60 zenon_H61 zenon_H4d zenon_H50 zenon_H112 zenon_Hd5 zenon_H34 zenon_H36 zenon_H8c zenon_H89 zenon_H82 zenon_H81 zenon_H80 zenon_H10b zenon_H10a zenon_H109 zenon_H5b zenon_H2b. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.05 apply (zenon_L75_); trivial. % 0.84/1.05 apply (zenon_L78_); trivial. % 0.84/1.05 apply (zenon_L25_); trivial. % 0.84/1.05 (* end of lemma zenon_L79_ *) % 0.84/1.05 assert (zenon_L80_ : ((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp25)\/(hskp21)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H8b zenon_H64 zenon_H61 zenon_H4d zenon_H50 zenon_H112 zenon_Hd5 zenon_H34 zenon_H36 zenon_H8c zenon_H89 zenon_H10b zenon_H10a zenon_H109 zenon_H5b zenon_Hb zenon_H11 zenon_H12 zenon_H13 zenon_H24 zenon_H27 zenon_H2b. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.05 apply (zenon_L12_); trivial. % 0.84/1.05 apply (zenon_L79_); trivial. % 0.84/1.05 (* end of lemma zenon_L80_ *) % 0.84/1.05 assert (zenon_L81_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp25)\/(hskp21)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H11b zenon_H90 zenon_H64 zenon_H61 zenon_H4d zenon_H50 zenon_H112 zenon_Hd5 zenon_H34 zenon_H36 zenon_H8c zenon_H89 zenon_H5b zenon_Hb zenon_H11 zenon_H12 zenon_H13 zenon_H24 zenon_H27 zenon_H2b zenon_H5 zenon_H77. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.84/1.05 apply (zenon_L73_); trivial. % 0.84/1.05 apply (zenon_L80_); trivial. % 0.84/1.05 (* end of lemma zenon_L81_ *) % 0.84/1.05 assert (zenon_L82_ : ((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp25)\/(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> (c3_1 (a1228)) -> (~(c2_1 (a1228))) -> (c0_1 (a1228)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hc5 zenon_H11e zenon_H90 zenon_H61 zenon_H4d zenon_H50 zenon_H112 zenon_Hd5 zenon_H36 zenon_H8c zenon_H89 zenon_H5b zenon_H77 zenon_H2b zenon_H27 zenon_H24 zenon_Hb zenon_H105 zenon_H34 zenon_Hf7 zenon_Hf6 zenon_Hf4 zenon_H5 zenon_H107 zenon_H64. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.84/1.05 apply (zenon_L71_); trivial. % 0.84/1.05 apply (zenon_L81_); trivial. % 0.84/1.05 (* end of lemma zenon_L82_ *) % 0.84/1.05 assert (zenon_L83_ : (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80)))))) -> (ndr1_0) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H11f zenon_Hf zenon_Hdb zenon_Hdc zenon_Hdd. % 0.84/1.05 generalize (zenon_H11f (a1229)). zenon_intro zenon_H120. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H120); [ zenon_intro zenon_He | zenon_intro zenon_H121 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_He1 | zenon_intro zenon_H122 ]. % 0.84/1.05 exact (zenon_Hdb zenon_He1). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He7 | zenon_intro zenon_He2 ]. % 0.84/1.05 exact (zenon_He7 zenon_Hdc). % 0.84/1.05 exact (zenon_He2 zenon_Hdd). % 0.84/1.05 (* end of lemma zenon_L83_ *) % 0.84/1.05 assert (zenon_L84_ : (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (~(c2_1 (a1228))) -> (c0_1 (a1228)) -> (c3_1 (a1228)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H123 zenon_Hf zenon_Hf6 zenon_Hf4 zenon_Hf7. % 0.84/1.05 generalize (zenon_H123 (a1228)). zenon_intro zenon_H124. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H124); [ zenon_intro zenon_He | zenon_intro zenon_H125 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H102 | zenon_intro zenon_H126 ]. % 0.84/1.05 exact (zenon_Hf6 zenon_H102). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ]. % 0.84/1.05 exact (zenon_Hfb zenon_Hf4). % 0.84/1.05 exact (zenon_Hfc zenon_Hf7). % 0.84/1.05 (* end of lemma zenon_L84_ *) % 0.84/1.05 assert (zenon_L85_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (~(hskp6)) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hef zenon_H127 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_H3. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.84/1.05 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H11f | zenon_intro zenon_H128 ]. % 0.84/1.05 apply (zenon_L83_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H4 ]. % 0.84/1.05 apply (zenon_L84_); trivial. % 0.84/1.05 exact (zenon_H3 zenon_H4). % 0.84/1.05 (* end of lemma zenon_L85_ *) % 0.84/1.05 assert (zenon_L86_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((hskp15)\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (c3_1 (a1228)) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp1)\/(hskp16))) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hf2 zenon_H127 zenon_H7 zenon_H5 zenon_H3 zenon_H64 zenon_H107 zenon_Hf4 zenon_Hf6 zenon_Hf7 zenon_H34 zenon_H105 zenon_Hb zenon_H24 zenon_H27 zenon_H2b zenon_H77 zenon_H5b zenon_H89 zenon_H8c zenon_H36 zenon_H112 zenon_H50 zenon_H4d zenon_H61 zenon_H90 zenon_H11e zenon_Hca. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.84/1.05 apply (zenon_L4_); trivial. % 0.84/1.05 apply (zenon_L82_); trivial. % 0.84/1.05 apply (zenon_L85_); trivial. % 0.84/1.05 (* end of lemma zenon_L86_ *) % 0.84/1.05 assert (zenon_L87_ : ((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((hskp15)\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp1)\/(hskp16))) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H129 zenon_Hf2 zenon_H127 zenon_H7 zenon_H5 zenon_H3 zenon_H64 zenon_H107 zenon_H34 zenon_H105 zenon_Hb zenon_H24 zenon_H27 zenon_H2b zenon_H77 zenon_H5b zenon_H89 zenon_H8c zenon_H36 zenon_H112 zenon_H50 zenon_H4d zenon_H61 zenon_H90 zenon_H11e zenon_Hca. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.84/1.05 apply (zenon_L86_); trivial. % 0.84/1.05 (* end of lemma zenon_L87_ *) % 0.84/1.05 assert (zenon_L88_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp1)\/(hskp16))) -> ((hskp25)\/(hskp21)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (ndr1_0) -> ((hskp15)\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H12c zenon_H127 zenon_H64 zenon_H107 zenon_H34 zenon_H105 zenon_Hb zenon_H2b zenon_H5b zenon_H36 zenon_H112 zenon_H50 zenon_H4d zenon_H61 zenon_H11e zenon_Hd9 zenon_Hce zenon_Hcd zenon_Hcc zenon_Hf zenon_H7 zenon_H5 zenon_H3 zenon_H77 zenon_H27 zenon_H24 zenon_H89 zenon_H8c zenon_H90 zenon_Hca zenon_Hf2. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.84/1.05 apply (zenon_L66_); trivial. % 0.84/1.05 apply (zenon_L87_); trivial. % 0.84/1.05 (* end of lemma zenon_L88_ *) % 0.84/1.05 assert (zenon_L89_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H2b zenon_H36 zenon_H34 zenon_Ha9 zenon_H50 zenon_H9d zenon_H7b zenon_H5 zenon_H77 zenon_H89 zenon_H8c zenon_H90. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.84/1.05 apply (zenon_L49_); trivial. % 0.84/1.05 (* end of lemma zenon_L89_ *) % 0.84/1.05 assert (zenon_L90_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H130 zenon_Hca zenon_Hc6 zenon_H34 zenon_H3 zenon_H5 zenon_H7. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.84/1.05 apply (zenon_L52_); trivial. % 0.84/1.05 (* end of lemma zenon_L90_ *) % 0.84/1.05 assert (zenon_L91_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp1)\/(hskp16))) -> ((hskp25)\/(hskp21)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (ndr1_0) -> ((hskp15)\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H133 zenon_Hc6 zenon_H12c zenon_H127 zenon_H64 zenon_H107 zenon_H34 zenon_H105 zenon_Hb zenon_H2b zenon_H5b zenon_H36 zenon_H112 zenon_H50 zenon_H4d zenon_H61 zenon_H11e zenon_Hd9 zenon_Hce zenon_Hcd zenon_Hcc zenon_Hf zenon_H7 zenon_H5 zenon_H3 zenon_H77 zenon_H27 zenon_H8c zenon_H90 zenon_Hca zenon_Hf2 zenon_H7b zenon_H9d zenon_Ha9 zenon_Hb4 zenon_Hba zenon_H134. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.84/1.05 apply (zenon_L88_); trivial. % 0.84/1.05 apply (zenon_L89_); trivial. % 0.84/1.05 apply (zenon_L90_); trivial. % 0.84/1.05 (* end of lemma zenon_L91_ *) % 0.84/1.05 assert (zenon_L92_ : (~(hskp24)) -> (hskp24) -> False). % 0.84/1.05 do 0 intro. intros zenon_H135 zenon_H136. % 0.84/1.05 exact (zenon_H135 zenon_H136). % 0.84/1.05 (* end of lemma zenon_L92_ *) % 0.84/1.05 assert (zenon_L93_ : (~(hskp19)) -> (hskp19) -> False). % 0.84/1.05 do 0 intro. intros zenon_H137 zenon_H138. % 0.84/1.05 exact (zenon_H137 zenon_H138). % 0.84/1.05 (* end of lemma zenon_L93_ *) % 0.84/1.05 assert (zenon_L94_ : ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp24)) -> (~(hskp19)) -> (~(hskp14)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H139 zenon_H135 zenon_H137 zenon_H9b. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H136 | zenon_intro zenon_H13a ]. % 0.84/1.05 exact (zenon_H135 zenon_H136). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H138 | zenon_intro zenon_H9c ]. % 0.84/1.05 exact (zenon_H137 zenon_H138). % 0.84/1.05 exact (zenon_H9b zenon_H9c). % 0.84/1.05 (* end of lemma zenon_L94_ *) % 0.84/1.05 assert (zenon_L95_ : (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))) -> (ndr1_0) -> (~(c1_1 (a1267))) -> (~(c2_1 (a1267))) -> (c0_1 (a1267)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H13b zenon_Hf zenon_H13c zenon_H13d zenon_H13e. % 0.84/1.05 generalize (zenon_H13b (a1267)). zenon_intro zenon_H13f. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H13f); [ zenon_intro zenon_He | zenon_intro zenon_H140 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 0.84/1.05 exact (zenon_H13c zenon_H142). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 0.84/1.05 exact (zenon_H13d zenon_H144). % 0.84/1.05 exact (zenon_H143 zenon_H13e). % 0.84/1.05 (* end of lemma zenon_L95_ *) % 0.84/1.05 assert (zenon_L96_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1215))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H145 zenon_Hf zenon_H146 zenon_H147 zenon_H148. % 0.84/1.05 generalize (zenon_H145 (a1215)). zenon_intro zenon_H149. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H149); [ zenon_intro zenon_He | zenon_intro zenon_H14a ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H14c | zenon_intro zenon_H14b ]. % 0.84/1.05 exact (zenon_H146 zenon_H14c). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14e | zenon_intro zenon_H14d ]. % 0.84/1.05 exact (zenon_H147 zenon_H14e). % 0.84/1.05 exact (zenon_H14d zenon_H148). % 0.84/1.05 (* end of lemma zenon_L96_ *) % 0.84/1.05 assert (zenon_L97_ : (forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))) -> (ndr1_0) -> (~(c3_1 (a1215))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H14f zenon_Hf zenon_H147 zenon_H145 zenon_H148 zenon_H150. % 0.84/1.05 generalize (zenon_H14f (a1215)). zenon_intro zenon_H151. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H151); [ zenon_intro zenon_He | zenon_intro zenon_H152 ]. % 0.84/1.05 exact (zenon_He zenon_Hf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H14e | zenon_intro zenon_H153 ]. % 0.84/1.05 exact (zenon_H147 zenon_H14e). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 0.84/1.05 apply (zenon_L96_); trivial. % 0.84/1.05 exact (zenon_H154 zenon_H150). % 0.84/1.05 (* end of lemma zenon_L97_ *) % 0.84/1.05 assert (zenon_L98_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c0_1 (a1267)) -> (~(c2_1 (a1267))) -> (~(c1_1 (a1267))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (~(c3_1 (a1215))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H155 zenon_H13e zenon_H13d zenon_H13c zenon_H150 zenon_H148 zenon_H145 zenon_H147 zenon_Hf zenon_H9b. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H13b | zenon_intro zenon_H156 ]. % 0.84/1.05 apply (zenon_L95_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H9c ]. % 0.84/1.05 apply (zenon_L97_); trivial. % 0.84/1.05 exact (zenon_H9b zenon_H9c). % 0.84/1.05 (* end of lemma zenon_L98_ *) % 0.84/1.05 assert (zenon_L99_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp14)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (~(c1_1 (a1267))) -> (~(c2_1 (a1267))) -> (c0_1 (a1267)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (~(hskp9)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H26 zenon_H157 zenon_H9b zenon_H147 zenon_H148 zenon_H150 zenon_H13c zenon_H13d zenon_H13e zenon_H155 zenon_H89. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H145 | zenon_intro zenon_H158 ]. % 0.84/1.06 apply (zenon_L98_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H1a | zenon_intro zenon_H8a ]. % 0.84/1.06 apply (zenon_L9_); trivial. % 0.84/1.06 exact (zenon_H89 zenon_H8a). % 0.84/1.06 (* end of lemma zenon_L99_ *) % 0.84/1.06 assert (zenon_L100_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> (~(hskp19)) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H159 zenon_H2b zenon_H157 zenon_H89 zenon_H147 zenon_H148 zenon_H150 zenon_H155 zenon_Hc zenon_Hb zenon_H137 zenon_H9b zenon_H139. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.84/1.06 apply (zenon_L94_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.06 apply (zenon_L6_); trivial. % 0.84/1.06 apply (zenon_L99_); trivial. % 0.84/1.06 (* end of lemma zenon_L100_ *) % 0.84/1.06 assert (zenon_L101_ : (~(hskp4)) -> (hskp4) -> False). % 0.84/1.06 do 0 intro. intros zenon_H15d zenon_H15e. % 0.84/1.06 exact (zenon_H15d zenon_H15e). % 0.84/1.06 (* end of lemma zenon_L101_ *) % 0.84/1.06 assert (zenon_L102_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(hskp4)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H5d zenon_H15f zenon_H54 zenon_H53 zenon_H52 zenon_H15d. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H51 | zenon_intro zenon_H160 ]. % 0.84/1.06 apply (zenon_L23_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H38 | zenon_intro zenon_H15e ]. % 0.84/1.06 apply (zenon_L19_); trivial. % 0.84/1.06 exact (zenon_H15d zenon_H15e). % 0.84/1.06 (* end of lemma zenon_L102_ *) % 0.84/1.06 assert (zenon_L103_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (ndr1_0) -> (~(c0_1 (a1247))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H161 zenon_Hf zenon_H162 zenon_H163 zenon_H164. % 0.84/1.06 generalize (zenon_H161 (a1247)). zenon_intro zenon_H165. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H165); [ zenon_intro zenon_He | zenon_intro zenon_H166 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H168 | zenon_intro zenon_H167 ]. % 0.84/1.06 exact (zenon_H162 zenon_H168). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H16a | zenon_intro zenon_H169 ]. % 0.84/1.06 exact (zenon_H163 zenon_H16a). % 0.84/1.06 exact (zenon_H164 zenon_H169). % 0.84/1.06 (* end of lemma zenon_L103_ *) % 0.84/1.06 assert (zenon_L104_ : (forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26)))))) -> (ndr1_0) -> (~(c2_1 (a1247))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H10 zenon_Hf zenon_H163 zenon_H161 zenon_H164 zenon_H16b. % 0.84/1.06 generalize (zenon_H10 (a1247)). zenon_intro zenon_H16c. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H16c); [ zenon_intro zenon_He | zenon_intro zenon_H16d ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H16a | zenon_intro zenon_H16e ]. % 0.84/1.06 exact (zenon_H163 zenon_H16a). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H162 | zenon_intro zenon_H16f ]. % 0.84/1.06 apply (zenon_L103_); trivial. % 0.84/1.06 exact (zenon_H16f zenon_H16b). % 0.84/1.06 (* end of lemma zenon_L104_ *) % 0.84/1.06 assert (zenon_L105_ : ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c2_1 (a1247))) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H27 zenon_H16b zenon_H164 zenon_H161 zenon_H163 zenon_H1d zenon_H1c zenon_H1b zenon_Hf zenon_H24. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H10 | zenon_intro zenon_H2a ]. % 0.84/1.06 apply (zenon_L104_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H1a | zenon_intro zenon_H25 ]. % 0.84/1.06 apply (zenon_L9_); trivial. % 0.84/1.06 exact (zenon_H24 zenon_H25). % 0.84/1.06 (* end of lemma zenon_L105_ *) % 0.84/1.06 assert (zenon_L106_ : (~(hskp28)) -> (hskp28) -> False). % 0.84/1.06 do 0 intro. intros zenon_H170 zenon_H171. % 0.84/1.06 exact (zenon_H170 zenon_H171). % 0.84/1.06 (* end of lemma zenon_L106_ *) % 0.84/1.06 assert (zenon_L107_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp28)) -> (ndr1_0) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (c0_1 (a1204)) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H172 zenon_H170 zenon_Hf zenon_H163 zenon_H164 zenon_H16b zenon_H1b zenon_H1c zenon_H1d zenon_H24 zenon_H27. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H161 | zenon_intro zenon_H171 ]. % 0.84/1.06 apply (zenon_L105_); trivial. % 0.84/1.06 exact (zenon_H170 zenon_H171). % 0.84/1.06 (* end of lemma zenon_L107_ *) % 0.84/1.06 assert (zenon_L108_ : (forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H173 zenon_Hf zenon_H147 zenon_H148 zenon_H150. % 0.84/1.06 generalize (zenon_H173 (a1215)). zenon_intro zenon_H174. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H174); [ zenon_intro zenon_He | zenon_intro zenon_H175 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H14e | zenon_intro zenon_H176 ]. % 0.84/1.06 exact (zenon_H147 zenon_H14e). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H14d | zenon_intro zenon_H154 ]. % 0.84/1.06 exact (zenon_H14d zenon_H148). % 0.84/1.06 exact (zenon_H154 zenon_H150). % 0.84/1.06 (* end of lemma zenon_L108_ *) % 0.84/1.06 assert (zenon_L109_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c0_1 (a1214)) -> (c1_1 (a1214)) -> (c3_1 (a1214)) -> False). % 0.84/1.06 do 0 intro. intros zenon_Hf3 zenon_Hf zenon_H177 zenon_H178 zenon_H179. % 0.84/1.06 generalize (zenon_Hf3 (a1214)). zenon_intro zenon_H17a. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H17a); [ zenon_intro zenon_He | zenon_intro zenon_H17b ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H17d | zenon_intro zenon_H17c ]. % 0.84/1.06 exact (zenon_H17d zenon_H177). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H17f | zenon_intro zenon_H17e ]. % 0.84/1.06 exact (zenon_H17f zenon_H178). % 0.84/1.06 exact (zenon_H17e zenon_H179). % 0.84/1.06 (* end of lemma zenon_L109_ *) % 0.84/1.06 assert (zenon_L110_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H26 zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H27 zenon_H24 zenon_H16b zenon_H164 zenon_H163 zenon_H172. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.06 apply (zenon_L107_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H161 | zenon_intro zenon_H185 ]. % 0.84/1.06 apply (zenon_L105_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H173 | zenon_intro zenon_Hf3 ]. % 0.84/1.06 apply (zenon_L108_); trivial. % 0.84/1.06 apply (zenon_L109_); trivial. % 0.84/1.06 (* end of lemma zenon_L110_ *) % 0.84/1.06 assert (zenon_L111_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H2b zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H27 zenon_H24 zenon_H16b zenon_H164 zenon_H163 zenon_H172 zenon_Hc zenon_Hb. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.06 apply (zenon_L6_); trivial. % 0.84/1.06 apply (zenon_L110_); trivial. % 0.84/1.06 (* end of lemma zenon_L111_ *) % 0.84/1.06 assert (zenon_L112_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> (~(hskp22)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H2b zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H27 zenon_H24 zenon_H16b zenon_H164 zenon_H163 zenon_H172 zenon_H36 zenon_H34 zenon_Hd5 zenon_H2c zenon_H112 zenon_H50. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.06 apply (zenon_L75_); trivial. % 0.84/1.06 apply (zenon_L110_); trivial. % 0.84/1.06 (* end of lemma zenon_L112_ *) % 0.84/1.06 assert (zenon_L113_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H186 zenon_H64 zenon_H61 zenon_H5b zenon_H4d zenon_H50 zenon_H112 zenon_Hd5 zenon_H34 zenon_H36 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.06 apply (zenon_L111_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.84/1.06 apply (zenon_L112_); trivial. % 0.84/1.06 apply (zenon_L25_); trivial. % 0.84/1.06 (* end of lemma zenon_L113_ *) % 0.84/1.06 assert (zenon_L114_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((hskp25)\/(hskp21)) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H189 zenon_H5b zenon_H4d zenon_H172 zenon_H24 zenon_H27 zenon_H181 zenon_H180 zenon_H159 zenon_H2b zenon_H157 zenon_H89 zenon_H147 zenon_H148 zenon_H150 zenon_H155 zenon_Hb zenon_H9b zenon_H139 zenon_H36 zenon_H34 zenon_Hd5 zenon_H112 zenon_H50 zenon_H15d zenon_H15f zenon_H61 zenon_H64. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.06 apply (zenon_L100_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.84/1.06 apply (zenon_L94_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.06 apply (zenon_L75_); trivial. % 0.84/1.06 apply (zenon_L99_); trivial. % 0.84/1.06 apply (zenon_L102_); trivial. % 0.84/1.06 apply (zenon_L113_); trivial. % 0.84/1.06 (* end of lemma zenon_L114_ *) % 0.84/1.06 assert (zenon_L115_ : (forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7)))))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (~(c0_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> False). % 0.84/1.06 do 0 intro. intros zenon_Hf5 zenon_Hf zenon_H18a zenon_Ha0 zenon_Ha2 zenon_Ha1. % 0.84/1.06 generalize (zenon_Hf5 (a1232)). zenon_intro zenon_H18b. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H18b); [ zenon_intro zenon_He | zenon_intro zenon_H18c ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H18d | zenon_intro zenon_Ha5 ]. % 0.84/1.06 generalize (zenon_H18a (a1232)). zenon_intro zenon_H18e. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H18e); [ zenon_intro zenon_He | zenon_intro zenon_H18f ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H190 ]. % 0.84/1.06 exact (zenon_Ha0 zenon_Ha6). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H191 | zenon_intro zenon_Ha7 ]. % 0.84/1.06 exact (zenon_H191 zenon_H18d). % 0.84/1.06 exact (zenon_Ha7 zenon_Ha2). % 0.84/1.06 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ]. % 0.84/1.06 exact (zenon_Ha1 zenon_Ha8). % 0.84/1.06 exact (zenon_Ha7 zenon_Ha2). % 0.84/1.06 (* end of lemma zenon_L115_ *) % 0.84/1.06 assert (zenon_L116_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (~(hskp4)) -> (~(hskp15)) -> (~(c0_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp15)\/(hskp4))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H192 zenon_H15d zenon_H1 zenon_Ha0 zenon_Ha2 zenon_Ha1 zenon_H193 zenon_H150 zenon_H148 zenon_H147 zenon_Hf zenon_H79. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H18a | zenon_intro zenon_H194 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H195 ]. % 0.84/1.06 apply (zenon_L115_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H2 | zenon_intro zenon_H15e ]. % 0.84/1.06 exact (zenon_H1 zenon_H2). % 0.84/1.06 exact (zenon_H15d zenon_H15e). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H173 | zenon_intro zenon_H7a ]. % 0.84/1.06 apply (zenon_L108_); trivial. % 0.84/1.06 exact (zenon_H79 zenon_H7a). % 0.84/1.06 (* end of lemma zenon_L116_ *) % 0.84/1.06 assert (zenon_L117_ : (~(hskp20)) -> (hskp20) -> False). % 0.84/1.06 do 0 intro. intros zenon_H196 zenon_H197. % 0.84/1.06 exact (zenon_H196 zenon_H197). % 0.84/1.06 (* end of lemma zenon_L117_ *) % 0.84/1.06 assert (zenon_L118_ : (~(hskp23)) -> (hskp23) -> False). % 0.84/1.06 do 0 intro. intros zenon_H198 zenon_H199. % 0.84/1.06 exact (zenon_H198 zenon_H199). % 0.84/1.06 (* end of lemma zenon_L118_ *) % 0.84/1.06 assert (zenon_L119_ : ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp16)) -> (~(hskp20)) -> (~(hskp23)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H19a zenon_H103 zenon_H196 zenon_H198. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H104 | zenon_intro zenon_H19b ]. % 0.84/1.06 exact (zenon_H103 zenon_H104). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H197 | zenon_intro zenon_H199 ]. % 0.84/1.06 exact (zenon_H196 zenon_H197). % 0.84/1.06 exact (zenon_H198 zenon_H199). % 0.84/1.06 (* end of lemma zenon_L119_ *) % 0.84/1.06 assert (zenon_L120_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (ndr1_0) -> (~(c0_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c3_1 (a1261))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H161 zenon_Hf zenon_H19c zenon_H19d zenon_H19e. % 0.84/1.06 generalize (zenon_H161 (a1261)). zenon_intro zenon_H19f. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H19f); [ zenon_intro zenon_He | zenon_intro zenon_H1a0 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a1 ]. % 0.84/1.06 exact (zenon_H19c zenon_H1a2). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a3 ]. % 0.84/1.06 exact (zenon_H19d zenon_H1a4). % 0.84/1.06 exact (zenon_H19e zenon_H1a3). % 0.84/1.06 (* end of lemma zenon_L120_ *) % 0.84/1.06 assert (zenon_L121_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp28)) -> (~(c3_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c0_1 (a1261))) -> (ndr1_0) -> False). % 0.84/1.06 do 0 intro. intros zenon_H172 zenon_H170 zenon_H19e zenon_H19d zenon_H19c zenon_Hf. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H161 | zenon_intro zenon_H171 ]. % 0.84/1.06 apply (zenon_L120_); trivial. % 0.84/1.06 exact (zenon_H170 zenon_H171). % 0.84/1.06 (* end of lemma zenon_L121_ *) % 0.84/1.06 assert (zenon_L122_ : ((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1a5 zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H172. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.06 apply (zenon_L121_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H161 | zenon_intro zenon_H185 ]. % 0.84/1.06 apply (zenon_L120_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H173 | zenon_intro zenon_Hf3 ]. % 0.84/1.06 apply (zenon_L108_); trivial. % 0.84/1.06 apply (zenon_L109_); trivial. % 0.84/1.06 (* end of lemma zenon_L122_ *) % 0.84/1.06 assert (zenon_L123_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp16)) -> (~(hskp20)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1a8 zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H172 zenon_H103 zenon_H196 zenon_H19a. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.84/1.06 apply (zenon_L119_); trivial. % 0.84/1.06 apply (zenon_L122_); trivial. % 0.84/1.06 (* end of lemma zenon_L123_ *) % 0.84/1.06 assert (zenon_L124_ : (forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82)))))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (~(c0_1 (a1250))) -> (c3_1 (a1250)) -> (c2_1 (a1250)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1a9 zenon_Hf zenon_H18a zenon_H1aa zenon_H1ab zenon_H1ac. % 0.84/1.06 generalize (zenon_H1a9 (a1250)). zenon_intro zenon_H1ad. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H1ad); [ zenon_intro zenon_He | zenon_intro zenon_H1ae ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1af ]. % 0.84/1.06 generalize (zenon_H18a (a1250)). zenon_intro zenon_H1b1. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H1b1); [ zenon_intro zenon_He | zenon_intro zenon_H1b2 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1b3 ]. % 0.84/1.06 exact (zenon_H1aa zenon_H1b4). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b5 ]. % 0.84/1.06 exact (zenon_H1b6 zenon_H1b0). % 0.84/1.06 exact (zenon_H1b5 zenon_H1ab). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b5 ]. % 0.84/1.06 exact (zenon_H1b7 zenon_H1ac). % 0.84/1.06 exact (zenon_H1b5 zenon_H1ab). % 0.84/1.06 (* end of lemma zenon_L124_ *) % 0.84/1.06 assert (zenon_L125_ : ((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (~(hskp19)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(hskp11)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1b8 zenon_H192 zenon_H137 zenon_H11 zenon_H12 zenon_H13 zenon_H1b9 zenon_H150 zenon_H148 zenon_H147 zenon_H79. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H18a | zenon_intro zenon_H194 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1bc ]. % 0.84/1.06 apply (zenon_L124_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H10 | zenon_intro zenon_H138 ]. % 0.84/1.06 apply (zenon_L8_); trivial. % 0.84/1.06 exact (zenon_H137 zenon_H138). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H173 | zenon_intro zenon_H7a ]. % 0.84/1.06 apply (zenon_L108_); trivial. % 0.84/1.06 exact (zenon_H79 zenon_H7a). % 0.84/1.06 (* end of lemma zenon_L125_ *) % 0.84/1.06 assert (zenon_L126_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (~(hskp19)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1bd zenon_H192 zenon_H79 zenon_H11 zenon_H12 zenon_H13 zenon_H137 zenon_H1b9 zenon_H19a zenon_H103 zenon_H172 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H1a8. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.84/1.06 apply (zenon_L123_); trivial. % 0.84/1.06 apply (zenon_L125_); trivial. % 0.84/1.06 (* end of lemma zenon_L126_ *) % 0.84/1.06 assert (zenon_L127_ : ((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp25)\/(hskp21)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_Hc5 zenon_H11e zenon_H90 zenon_H8c zenon_H89 zenon_H5 zenon_H77 zenon_H1bd zenon_H192 zenon_H79 zenon_H1b9 zenon_H19a zenon_H172 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H1a8 zenon_H2b zenon_H27 zenon_H24 zenon_Hb zenon_H36 zenon_H34 zenon_Hd5 zenon_H112 zenon_H50 zenon_H4d zenon_H5b zenon_H61 zenon_H64 zenon_H189. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.84/1.06 apply (zenon_L126_); trivial. % 0.84/1.06 apply (zenon_L113_); trivial. % 0.84/1.06 apply (zenon_L81_); trivial. % 0.84/1.06 (* end of lemma zenon_L127_ *) % 0.84/1.06 assert (zenon_L128_ : (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (~(c2_1 (a1267))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a1267))) -> (c0_1 (a1267)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H38 zenon_Hf zenon_H13d zenon_H7f zenon_H13c zenon_H13e. % 0.84/1.06 generalize (zenon_H38 (a1267)). zenon_intro zenon_H1be. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H1be); [ zenon_intro zenon_He | zenon_intro zenon_H1bf ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H144 | zenon_intro zenon_H1c0 ]. % 0.84/1.06 exact (zenon_H13d zenon_H144). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H143 ]. % 0.84/1.06 generalize (zenon_H7f (a1267)). zenon_intro zenon_H1c2. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H1c2); [ zenon_intro zenon_He | zenon_intro zenon_H1c3 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H142 | zenon_intro zenon_H1c4 ]. % 0.84/1.06 exact (zenon_H13c zenon_H142). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H143 | zenon_intro zenon_H1c5 ]. % 0.84/1.06 exact (zenon_H143 zenon_H13e). % 0.84/1.06 exact (zenon_H1c5 zenon_H1c1). % 0.84/1.06 exact (zenon_H143 zenon_H13e). % 0.84/1.06 (* end of lemma zenon_L128_ *) % 0.84/1.06 assert (zenon_L129_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c1_1 (a1229))) -> (c0_1 (a1267)) -> (~(c1_1 (a1267))) -> (~(c2_1 (a1267))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (~(hskp9)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H8c zenon_Hdd zenon_Hdc zenon_H1a zenon_Hdb zenon_H13e zenon_H13c zenon_H13d zenon_Hf zenon_H38 zenon_H89. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.84/1.06 apply (zenon_L57_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.84/1.06 apply (zenon_L128_); trivial. % 0.84/1.06 exact (zenon_H89 zenon_H8a). % 0.84/1.06 (* end of lemma zenon_L129_ *) % 0.84/1.06 assert (zenon_L130_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp9)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp10)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H15a zenon_H5b zenon_H54 zenon_H53 zenon_H52 zenon_H155 zenon_H150 zenon_H148 zenon_H147 zenon_H9b zenon_H157 zenon_H1c6 zenon_H89 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H8c zenon_H24. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.84/1.06 apply (zenon_L23_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H145 | zenon_intro zenon_H158 ]. % 0.84/1.06 apply (zenon_L98_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H1a | zenon_intro zenon_H8a ]. % 0.84/1.06 apply (zenon_L129_); trivial. % 0.84/1.06 exact (zenon_H89 zenon_H8a). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H13b | zenon_intro zenon_H1c7 ]. % 0.84/1.06 apply (zenon_L95_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H38 | zenon_intro zenon_H25 ]. % 0.84/1.06 apply (zenon_L129_); trivial. % 0.84/1.06 exact (zenon_H24 zenon_H25). % 0.84/1.06 (* end of lemma zenon_L130_ *) % 0.84/1.06 assert (zenon_L131_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H64 zenon_H5b zenon_H24 zenon_H1c6 zenon_H8c zenon_Hdd zenon_Hdc zenon_Hdb zenon_H139 zenon_H9b zenon_H137 zenon_Hb zenon_H155 zenon_H150 zenon_H148 zenon_H147 zenon_H89 zenon_H157 zenon_H2b zenon_H159. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.06 apply (zenon_L100_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.84/1.06 apply (zenon_L94_); trivial. % 0.84/1.06 apply (zenon_L130_); trivial. % 0.84/1.06 (* end of lemma zenon_L131_ *) % 0.84/1.06 assert (zenon_L132_ : ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c2_1 (a1247))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (ndr1_0) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74)))))) -> (~(hskp10)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H27 zenon_H16b zenon_H164 zenon_H161 zenon_H163 zenon_Hdd zenon_Hdc zenon_Hdb zenon_Hf zenon_H7c zenon_H24. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H10 | zenon_intro zenon_H2a ]. % 0.84/1.06 apply (zenon_L104_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H1a | zenon_intro zenon_H25 ]. % 0.84/1.06 apply (zenon_L57_); trivial. % 0.84/1.06 exact (zenon_H24 zenon_H25). % 0.84/1.06 (* end of lemma zenon_L132_ *) % 0.84/1.06 assert (zenon_L133_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp10)) -> (c2_1 (a1229)) -> (~(c2_1 (a1247))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (~(hskp9)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H8c zenon_H24 zenon_Hdd zenon_H163 zenon_H161 zenon_H164 zenon_H16b zenon_H27 zenon_Hdc zenon_Hdb zenon_Hf zenon_H66 zenon_H89. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.84/1.06 apply (zenon_L132_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.84/1.06 apply (zenon_L60_); trivial. % 0.84/1.06 exact (zenon_H89 zenon_H8a). % 0.84/1.06 (* end of lemma zenon_L133_ *) % 0.84/1.06 assert (zenon_L134_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c2_1 (a1247))) -> (c2_1 (a1229)) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp17)) -> (~(hskp5)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H77 zenon_H89 zenon_Hf zenon_Hdb zenon_Hdc zenon_H27 zenon_H16b zenon_H164 zenon_H161 zenon_H163 zenon_Hdd zenon_H24 zenon_H8c zenon_H75 zenon_H5. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H66 | zenon_intro zenon_H78 ]. % 0.84/1.06 apply (zenon_L133_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H76 | zenon_intro zenon_H6 ]. % 0.84/1.06 exact (zenon_H75 zenon_H76). % 0.84/1.06 exact (zenon_H5 zenon_H6). % 0.84/1.06 (* end of lemma zenon_L134_ *) % 0.84/1.06 assert (zenon_L135_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp28)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (ndr1_0) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp17)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H172 zenon_H170 zenon_H8c zenon_H89 zenon_Hf zenon_H163 zenon_H164 zenon_H16b zenon_Hdb zenon_Hdc zenon_Hdd zenon_H24 zenon_H27 zenon_H75 zenon_H5 zenon_H77. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H161 | zenon_intro zenon_H171 ]. % 0.84/1.06 apply (zenon_L134_); trivial. % 0.84/1.06 exact (zenon_H170 zenon_H171). % 0.84/1.06 (* end of lemma zenon_L135_ *) % 0.84/1.06 assert (zenon_L136_ : ((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(hskp5)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H182 zenon_H107 zenon_H54 zenon_H53 zenon_H52 zenon_H5. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H51 | zenon_intro zenon_H108 ]. % 0.84/1.06 apply (zenon_L23_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H6 ]. % 0.84/1.06 apply (zenon_L109_); trivial. % 0.84/1.06 exact (zenon_H5 zenon_H6). % 0.84/1.06 (* end of lemma zenon_L136_ *) % 0.84/1.06 assert (zenon_L137_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (~(hskp17)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H186 zenon_H64 zenon_H107 zenon_H77 zenon_H5 zenon_H75 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H89 zenon_H8c zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.06 apply (zenon_L111_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.06 apply (zenon_L135_); trivial. % 0.84/1.06 apply (zenon_L136_); trivial. % 0.84/1.06 (* end of lemma zenon_L137_ *) % 0.84/1.06 assert (zenon_L138_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c1_1 (a1229))) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H8c zenon_Hdd zenon_Hdc zenon_H1a zenon_Hdb zenon_H82 zenon_H81 zenon_H80 zenon_Hf zenon_H89. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.84/1.06 apply (zenon_L57_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.84/1.06 apply (zenon_L34_); trivial. % 0.84/1.06 exact (zenon_H89 zenon_H8a). % 0.84/1.06 (* end of lemma zenon_L138_ *) % 0.84/1.06 assert (zenon_L139_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(c1_1 (a1237))) -> (c0_1 (a1237)) -> (c3_1 (a1237)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (~(hskp19)) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H159 zenon_H157 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H80 zenon_H81 zenon_H82 zenon_H89 zenon_H8c zenon_H147 zenon_H148 zenon_H150 zenon_H155 zenon_H137 zenon_H9b zenon_H139. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.84/1.06 apply (zenon_L94_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H145 | zenon_intro zenon_H158 ]. % 0.84/1.06 apply (zenon_L98_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H1a | zenon_intro zenon_H8a ]. % 0.84/1.06 apply (zenon_L138_); trivial. % 0.84/1.06 exact (zenon_H89 zenon_H8a). % 0.84/1.06 (* end of lemma zenon_L139_ *) % 0.84/1.06 assert (zenon_L140_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp10)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(c2_1 (a1247))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H8c zenon_H24 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H163 zenon_H161 zenon_H164 zenon_H16b zenon_H27 zenon_H82 zenon_H81 zenon_H80 zenon_Hf zenon_H89. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.84/1.06 apply (zenon_L132_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.84/1.06 apply (zenon_L34_); trivial. % 0.84/1.06 exact (zenon_H89 zenon_H8a). % 0.84/1.06 (* end of lemma zenon_L140_ *) % 0.84/1.06 assert (zenon_L141_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp28)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (ndr1_0) -> (~(c1_1 (a1237))) -> (c0_1 (a1237)) -> (c3_1 (a1237)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H172 zenon_H170 zenon_H27 zenon_H24 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H16b zenon_H164 zenon_H163 zenon_Hf zenon_H80 zenon_H81 zenon_H82 zenon_H89 zenon_H8c. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H161 | zenon_intro zenon_H171 ]. % 0.84/1.06 apply (zenon_L140_); trivial. % 0.84/1.06 exact (zenon_H170 zenon_H171). % 0.84/1.06 (* end of lemma zenon_L141_ *) % 0.84/1.06 assert (zenon_L142_ : ((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H8b zenon_H189 zenon_H64 zenon_H107 zenon_H5 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H9b zenon_H155 zenon_H150 zenon_H148 zenon_H147 zenon_H8c zenon_H89 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H157 zenon_H159. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.84/1.06 apply (zenon_L139_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.06 apply (zenon_L111_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.06 apply (zenon_L141_); trivial. % 0.84/1.06 apply (zenon_L136_); trivial. % 0.84/1.06 (* end of lemma zenon_L142_ *) % 0.84/1.06 assert (zenon_L143_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H90 zenon_H64 zenon_H5b zenon_H24 zenon_H1c6 zenon_H8c zenon_Hdd zenon_Hdc zenon_Hdb zenon_H139 zenon_H9b zenon_Hb zenon_H155 zenon_H150 zenon_H148 zenon_H147 zenon_H89 zenon_H157 zenon_H2b zenon_H159 zenon_H180 zenon_H181 zenon_H27 zenon_H172 zenon_H5 zenon_H77 zenon_H107 zenon_H189. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.84/1.06 apply (zenon_L131_); trivial. % 0.84/1.06 apply (zenon_L137_); trivial. % 0.84/1.06 apply (zenon_L142_); trivial. % 0.84/1.06 (* end of lemma zenon_L143_ *) % 0.84/1.06 assert (zenon_L144_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp15)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> False). % 0.84/1.06 do 0 intro. intros zenon_Hb7 zenon_Hca zenon_H90 zenon_H8c zenon_H89 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H24 zenon_H27 zenon_H5 zenon_H77 zenon_H193 zenon_H15d zenon_H147 zenon_H148 zenon_H150 zenon_H79 zenon_H192. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.84/1.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.84/1.06 apply (zenon_L116_); trivial. % 0.84/1.06 apply (zenon_L63_); trivial. % 0.84/1.06 (* end of lemma zenon_L144_ *) % 0.84/1.06 assert (zenon_L145_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((hskp25)\/(hskp21)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp15)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_Hf2 zenon_H107 zenon_H1c6 zenon_H189 zenon_H5b zenon_H4d zenon_H172 zenon_H24 zenon_H27 zenon_H181 zenon_H180 zenon_H159 zenon_H2b zenon_H157 zenon_H89 zenon_H147 zenon_H148 zenon_H150 zenon_H155 zenon_Hb zenon_H139 zenon_H36 zenon_H34 zenon_H112 zenon_H50 zenon_H15d zenon_H15f zenon_H61 zenon_H64 zenon_H192 zenon_H79 zenon_H193 zenon_H1a8 zenon_H19a zenon_H1b9 zenon_H1bd zenon_H77 zenon_H5 zenon_H8c zenon_H90 zenon_H11e zenon_Hca zenon_Hb4. % 0.84/1.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.84/1.06 apply (zenon_L114_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.84/1.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.84/1.06 apply (zenon_L116_); trivial. % 0.84/1.06 apply (zenon_L127_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.84/1.06 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.84/1.06 apply (zenon_L143_); trivial. % 0.84/1.06 apply (zenon_L144_); trivial. % 0.84/1.06 (* end of lemma zenon_L145_ *) % 0.84/1.06 assert (zenon_L146_ : (~(hskp27)) -> (hskp27) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1c8 zenon_H1c9. % 0.84/1.06 exact (zenon_H1c8 zenon_H1c9). % 0.84/1.06 (* end of lemma zenon_L146_ *) % 0.84/1.06 assert (zenon_L147_ : (~(hskp2)) -> (hskp2) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1ca zenon_H1cb. % 0.84/1.06 exact (zenon_H1ca zenon_H1cb). % 0.84/1.06 (* end of lemma zenon_L147_ *) % 0.84/1.06 assert (zenon_L148_ : ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp27)) -> (~(hskp19)) -> (~(hskp2)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1cc zenon_H1c8 zenon_H137 zenon_H1ca. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1cd ]. % 0.84/1.06 exact (zenon_H1c8 zenon_H1c9). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H138 | zenon_intro zenon_H1cb ]. % 0.84/1.06 exact (zenon_H137 zenon_H138). % 0.84/1.06 exact (zenon_H1ca zenon_H1cb). % 0.84/1.06 (* end of lemma zenon_L148_ *) % 0.84/1.06 assert (zenon_L149_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H42 zenon_Hf zenon_H145 zenon_H147 zenon_H148 zenon_H150. % 0.84/1.06 generalize (zenon_H42 (a1215)). zenon_intro zenon_H1ce. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H1ce); [ zenon_intro zenon_He | zenon_intro zenon_H1cf ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H146 | zenon_intro zenon_H176 ]. % 0.84/1.06 apply (zenon_L96_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H14d | zenon_intro zenon_H154 ]. % 0.84/1.06 exact (zenon_H14d zenon_H148). % 0.84/1.06 exact (zenon_H154 zenon_H150). % 0.84/1.06 (* end of lemma zenon_L149_ *) % 0.84/1.06 assert (zenon_L150_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (c1_1 (a1213)) -> (c2_1 (a1213)) -> (c3_1 (a1213)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1d0 zenon_Hf zenon_H1d1 zenon_H1d2 zenon_H1d3. % 0.84/1.06 generalize (zenon_H1d0 (a1213)). zenon_intro zenon_H1d4. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H1d4); [ zenon_intro zenon_He | zenon_intro zenon_H1d5 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1d6 ]. % 0.84/1.06 exact (zenon_H1d7 zenon_H1d1). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1d8 ]. % 0.84/1.06 exact (zenon_H1d9 zenon_H1d2). % 0.84/1.06 exact (zenon_H1d8 zenon_H1d3). % 0.84/1.06 (* end of lemma zenon_L150_ *) % 0.84/1.06 assert (zenon_L151_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1213)) -> (c2_1 (a1213)) -> (c1_1 (a1213)) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1da zenon_H1d3 zenon_H1d2 zenon_H1d1 zenon_H150 zenon_H148 zenon_H147 zenon_Hf zenon_H42. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H145 | zenon_intro zenon_H1d0 ]. % 0.84/1.06 apply (zenon_L149_); trivial. % 0.84/1.06 apply (zenon_L150_); trivial. % 0.84/1.06 (* end of lemma zenon_L151_ *) % 0.84/1.06 assert (zenon_L152_ : ((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1db zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H94 zenon_H93 zenon_H92 zenon_H1da zenon_H150 zenon_H148 zenon_H147. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.84/1.06 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.84/1.06 apply (zenon_L41_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.84/1.06 apply (zenon_L38_); trivial. % 0.84/1.06 apply (zenon_L151_); trivial. % 0.84/1.06 (* end of lemma zenon_L152_ *) % 0.84/1.06 assert (zenon_L153_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(hskp19)) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1de zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H1da zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H137 zenon_H1ca zenon_H1cc. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.84/1.06 apply (zenon_L148_); trivial. % 0.84/1.06 apply (zenon_L152_); trivial. % 0.84/1.06 (* end of lemma zenon_L153_ *) % 0.84/1.06 assert (zenon_L154_ : ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp26)) -> (~(hskp28)) -> (~(hskp24)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1df zenon_H32 zenon_H170 zenon_H135. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H33 | zenon_intro zenon_H1e0 ]. % 0.84/1.06 exact (zenon_H32 zenon_H33). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H171 | zenon_intro zenon_H136 ]. % 0.84/1.06 exact (zenon_H170 zenon_H171). % 0.84/1.06 exact (zenon_H135 zenon_H136). % 0.84/1.06 (* end of lemma zenon_L154_ *) % 0.84/1.06 assert (zenon_L155_ : ((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H182 zenon_H1e1 zenon_H1ca zenon_H2e. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1e2 ]. % 0.84/1.06 apply (zenon_L109_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1cb | zenon_intro zenon_H2f ]. % 0.84/1.06 exact (zenon_H1ca zenon_H1cb). % 0.84/1.06 exact (zenon_H2e zenon_H2f). % 0.84/1.06 (* end of lemma zenon_L155_ *) % 0.84/1.06 assert (zenon_L156_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(hskp26)) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H180 zenon_H1e1 zenon_H2e zenon_H1ca zenon_H32 zenon_H135 zenon_H1df. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.06 apply (zenon_L154_); trivial. % 0.84/1.06 apply (zenon_L155_); trivial. % 0.84/1.06 (* end of lemma zenon_L156_ *) % 0.84/1.06 assert (zenon_L157_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H50 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H1df zenon_H135 zenon_H1ca zenon_H2e zenon_H1e1 zenon_H180. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.84/1.06 apply (zenon_L156_); trivial. % 0.84/1.06 apply (zenon_L42_); trivial. % 0.84/1.06 (* end of lemma zenon_L157_ *) % 0.84/1.06 assert (zenon_L158_ : (forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67)))))) -> (ndr1_0) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1e3 zenon_Hf zenon_H163 zenon_H164 zenon_H16b. % 0.84/1.06 generalize (zenon_H1e3 (a1247)). zenon_intro zenon_H1e4. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H1e4); [ zenon_intro zenon_He | zenon_intro zenon_H1e5 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H16a | zenon_intro zenon_H1e6 ]. % 0.84/1.06 exact (zenon_H163 zenon_H16a). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H169 | zenon_intro zenon_H16f ]. % 0.84/1.06 exact (zenon_H164 zenon_H169). % 0.84/1.06 exact (zenon_H16f zenon_H16b). % 0.84/1.06 (* end of lemma zenon_L158_ *) % 0.84/1.06 assert (zenon_L159_ : (forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))) -> (ndr1_0) -> (~(c3_1 (a1247))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c2_1 (a1247))) -> (c1_1 (a1247)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1e7 zenon_Hf zenon_H164 zenon_H161 zenon_H163 zenon_H16b. % 0.84/1.06 generalize (zenon_H1e7 (a1247)). zenon_intro zenon_H1e8. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H1e8); [ zenon_intro zenon_He | zenon_intro zenon_H1e9 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H169 | zenon_intro zenon_H16e ]. % 0.84/1.06 exact (zenon_H164 zenon_H169). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H162 | zenon_intro zenon_H16f ]. % 0.84/1.06 apply (zenon_L103_); trivial. % 0.84/1.06 exact (zenon_H16f zenon_H16b). % 0.84/1.06 (* end of lemma zenon_L159_ *) % 0.84/1.06 assert (zenon_L160_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c0_1 (a1267)) -> (~(c2_1 (a1267))) -> (~(c1_1 (a1267))) -> (ndr1_0) -> (~(c3_1 (a1247))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c2_1 (a1247))) -> (c1_1 (a1247)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1ea zenon_H13e zenon_H13d zenon_H13c zenon_Hf zenon_H164 zenon_H161 zenon_H163 zenon_H16b. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H13b | zenon_intro zenon_H1eb ]. % 0.84/1.06 apply (zenon_L95_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e7 ]. % 0.84/1.06 apply (zenon_L158_); trivial. % 0.84/1.06 apply (zenon_L159_); trivial. % 0.84/1.06 (* end of lemma zenon_L160_ *) % 0.84/1.06 assert (zenon_L161_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c1_1 (a1267))) -> (~(c2_1 (a1267))) -> (c0_1 (a1267)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (ndr1_0) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (~(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp27)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1ec zenon_H13c zenon_H13d zenon_H13e zenon_H1ea zenon_Hf zenon_H163 zenon_H164 zenon_H16b zenon_H170 zenon_H172 zenon_H1c8. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.84/1.06 apply (zenon_L160_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H161 | zenon_intro zenon_H171 ]. % 0.84/1.06 apply (zenon_L104_); trivial. % 0.84/1.06 exact (zenon_H170 zenon_H171). % 0.84/1.06 exact (zenon_H1c8 zenon_H1c9). % 0.84/1.06 (* end of lemma zenon_L161_ *) % 0.84/1.06 assert (zenon_L162_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H15a zenon_H1de zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H1da zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H1ec zenon_H172 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_H1ca zenon_H2e zenon_H1e1 zenon_H180. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.06 apply (zenon_L161_); trivial. % 0.84/1.06 apply (zenon_L155_); trivial. % 0.84/1.06 apply (zenon_L152_); trivial. % 0.84/1.06 (* end of lemma zenon_L162_ *) % 0.84/1.06 assert (zenon_L163_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_Hb7 zenon_H189 zenon_H159 zenon_H1ec zenon_H172 zenon_H1ea zenon_H180 zenon_H1e1 zenon_H2e zenon_H1df zenon_H50 zenon_H1cc zenon_H1ca zenon_H92 zenon_H93 zenon_H94 zenon_H1da zenon_H150 zenon_H148 zenon_H147 zenon_Ha9 zenon_H1de. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.84/1.06 apply (zenon_L153_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.84/1.06 apply (zenon_L157_); trivial. % 0.84/1.06 apply (zenon_L162_); trivial. % 0.84/1.06 (* end of lemma zenon_L163_ *) % 0.84/1.06 assert (zenon_L164_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a1250))) -> (c2_1 (a1250)) -> (c3_1 (a1250)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1ee zenon_Hf zenon_H1aa zenon_H1ac zenon_H1ab. % 0.84/1.06 generalize (zenon_H1ee (a1250)). zenon_intro zenon_H1ef. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H1ef); [ zenon_intro zenon_He | zenon_intro zenon_H1f0 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1af ]. % 0.84/1.06 exact (zenon_H1aa zenon_H1b4). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b5 ]. % 0.84/1.06 exact (zenon_H1b7 zenon_H1ac). % 0.84/1.06 exact (zenon_H1b5 zenon_H1ab). % 0.84/1.06 (* end of lemma zenon_L164_ *) % 0.84/1.06 assert (zenon_L165_ : (~(hskp3)) -> (hskp3) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1f1 zenon_H1f2. % 0.84/1.06 exact (zenon_H1f1 zenon_H1f2). % 0.84/1.06 (* end of lemma zenon_L165_ *) % 0.84/1.06 assert (zenon_L166_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (c3_1 (a1250)) -> (c2_1 (a1250)) -> (~(c0_1 (a1250))) -> (~(hskp3)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H60 zenon_H1f3 zenon_H1ab zenon_H1ac zenon_H1aa zenon_H1f1. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H51 | zenon_intro zenon_H1f4 ]. % 0.84/1.06 apply (zenon_L23_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1f2 ]. % 0.84/1.06 apply (zenon_L164_); trivial. % 0.84/1.06 exact (zenon_H1f1 zenon_H1f2). % 0.84/1.06 (* end of lemma zenon_L166_ *) % 0.84/1.06 assert (zenon_L167_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H186 zenon_H1bd zenon_H64 zenon_H1f3 zenon_H1f1 zenon_Hb zenon_H24 zenon_H27 zenon_H2b zenon_H19a zenon_H103 zenon_H172 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H1a8. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.84/1.06 apply (zenon_L123_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.06 apply (zenon_L111_); trivial. % 0.84/1.06 apply (zenon_L166_); trivial. % 0.84/1.06 (* end of lemma zenon_L167_ *) % 0.84/1.06 assert (zenon_L168_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp16)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((hskp25)\/(hskp21)) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H189 zenon_H24 zenon_H27 zenon_H1a8 zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H172 zenon_H103 zenon_H19a zenon_H159 zenon_H2b zenon_H157 zenon_H89 zenon_H155 zenon_Hb zenon_H9b zenon_H139 zenon_H1f1 zenon_H1f3 zenon_H64 zenon_H1bd. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.84/1.06 apply (zenon_L123_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.06 apply (zenon_L100_); trivial. % 0.84/1.06 apply (zenon_L166_); trivial. % 0.84/1.06 apply (zenon_L167_); trivial. % 0.84/1.06 (* end of lemma zenon_L168_ *) % 0.84/1.06 assert (zenon_L169_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H9d zenon_H10b zenon_H10a zenon_H109 zenon_H38 zenon_H94 zenon_H93 zenon_H92 zenon_Hf zenon_H9b. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H7c | zenon_intro zenon_H9e ]. % 0.84/1.06 apply (zenon_L76_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H91 | zenon_intro zenon_H9c ]. % 0.84/1.06 apply (zenon_L38_); trivial. % 0.84/1.06 exact (zenon_H9b zenon_H9c). % 0.84/1.06 (* end of lemma zenon_L169_ *) % 0.84/1.06 assert (zenon_L170_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp14)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(hskp4)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H60 zenon_H15f zenon_H9b zenon_H92 zenon_H93 zenon_H94 zenon_H109 zenon_H10a zenon_H10b zenon_H9d zenon_H15d. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H51 | zenon_intro zenon_H160 ]. % 0.84/1.06 apply (zenon_L23_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H38 | zenon_intro zenon_H15e ]. % 0.84/1.06 apply (zenon_L169_); trivial. % 0.84/1.06 exact (zenon_H15d zenon_H15e). % 0.84/1.06 (* end of lemma zenon_L170_ *) % 0.84/1.06 assert (zenon_L171_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H186 zenon_H64 zenon_H15f zenon_H15d zenon_H109 zenon_H10a zenon_H10b zenon_H92 zenon_H93 zenon_H94 zenon_H9b zenon_H9d zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.06 apply (zenon_L111_); trivial. % 0.84/1.06 apply (zenon_L170_); trivial. % 0.84/1.06 (* end of lemma zenon_L171_ *) % 0.84/1.06 assert (zenon_L172_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((hskp25)\/(hskp21)) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H11b zenon_H189 zenon_H15f zenon_H15d zenon_H92 zenon_H93 zenon_H94 zenon_H9d zenon_H172 zenon_H27 zenon_H181 zenon_H180 zenon_H159 zenon_H2b zenon_H157 zenon_H89 zenon_H147 zenon_H148 zenon_H150 zenon_H155 zenon_Hb zenon_H9b zenon_H139 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H8c zenon_H1c6 zenon_H24 zenon_H5b zenon_H64. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.84/1.06 apply (zenon_L131_); trivial. % 0.84/1.06 apply (zenon_L171_); trivial. % 0.84/1.06 (* end of lemma zenon_L172_ *) % 0.84/1.06 assert (zenon_L173_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H11e zenon_H15f zenon_H15d zenon_H92 zenon_H93 zenon_H94 zenon_H9d zenon_Hdb zenon_Hdc zenon_Hdd zenon_H8c zenon_H1c6 zenon_H5b zenon_H1bd zenon_H64 zenon_H1f3 zenon_H1f1 zenon_H139 zenon_H9b zenon_Hb zenon_H155 zenon_H89 zenon_H157 zenon_H2b zenon_H159 zenon_H19a zenon_H172 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H1a8 zenon_H27 zenon_H24 zenon_H189. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.84/1.06 apply (zenon_L168_); trivial. % 0.84/1.06 apply (zenon_L172_); trivial. % 0.84/1.06 (* end of lemma zenon_L173_ *) % 0.84/1.06 assert (zenon_L174_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((hskp25)\/(hskp21)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_Hef zenon_Hb4 zenon_H1ec zenon_H1ea zenon_H1e1 zenon_H2e zenon_H1df zenon_H50 zenon_H1cc zenon_H1ca zenon_H1da zenon_Ha9 zenon_H1de zenon_H189 zenon_H24 zenon_H27 zenon_H1a8 zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H172 zenon_H19a zenon_H159 zenon_H2b zenon_H157 zenon_H89 zenon_H155 zenon_Hb zenon_H139 zenon_H1f1 zenon_H1f3 zenon_H64 zenon_H1bd zenon_H5b zenon_H1c6 zenon_H8c zenon_H9d zenon_H94 zenon_H93 zenon_H92 zenon_H15d zenon_H15f zenon_H11e. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.84/1.06 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.84/1.06 apply (zenon_L173_); trivial. % 0.84/1.06 apply (zenon_L163_); trivial. % 0.84/1.06 (* end of lemma zenon_L174_ *) % 0.84/1.06 assert (zenon_L175_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c0_1 (a1219))) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H65 zenon_Hf zenon_Hbc zenon_H18a zenon_Hbd zenon_Hbe. % 0.84/1.06 generalize (zenon_H65 (a1219)). zenon_intro zenon_H1f5. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H1f5); [ zenon_intro zenon_He | zenon_intro zenon_H1f6 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H1f7 ]. % 0.84/1.06 exact (zenon_Hbc zenon_Hc2). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1f8 | zenon_intro zenon_Hc3 ]. % 0.84/1.06 generalize (zenon_H18a (a1219)). zenon_intro zenon_H1f9. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H1f9); [ zenon_intro zenon_He | zenon_intro zenon_H1fa ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H1fb ]. % 0.84/1.06 exact (zenon_Hbc zenon_Hc2). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1fc ]. % 0.84/1.06 exact (zenon_Hc4 zenon_Hbd). % 0.84/1.06 exact (zenon_H1fc zenon_H1f8). % 0.84/1.06 exact (zenon_Hc3 zenon_Hbe). % 0.84/1.06 (* end of lemma zenon_L175_ *) % 0.84/1.06 assert (zenon_L176_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H192 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H65 zenon_H150 zenon_H148 zenon_H147 zenon_Hf zenon_H79. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H18a | zenon_intro zenon_H194 ]. % 0.84/1.06 apply (zenon_L175_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H173 | zenon_intro zenon_H7a ]. % 0.84/1.06 apply (zenon_L108_); trivial. % 0.84/1.06 exact (zenon_H79 zenon_H7a). % 0.84/1.06 (* end of lemma zenon_L176_ *) % 0.84/1.06 assert (zenon_L177_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (ndr1_0) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H7b zenon_Hf zenon_Hbc zenon_Hbd zenon_Hbe zenon_H147 zenon_H148 zenon_H150 zenon_H79 zenon_H192. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H65 | zenon_intro zenon_H7a ]. % 0.84/1.06 apply (zenon_L176_); trivial. % 0.84/1.06 exact (zenon_H79 zenon_H7a). % 0.84/1.06 (* end of lemma zenon_L177_ *) % 0.84/1.06 assert (zenon_L178_ : (forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26)))))) -> (ndr1_0) -> (~(c2_1 (a1224))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H10 zenon_Hf zenon_H92 zenon_H9f zenon_H94 zenon_H93. % 0.84/1.06 generalize (zenon_H10 (a1224)). zenon_intro zenon_H1fd. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H1fd); [ zenon_intro zenon_He | zenon_intro zenon_H1fe ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H98 | zenon_intro zenon_H1ff ]. % 0.84/1.06 exact (zenon_H92 zenon_H98). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H200 | zenon_intro zenon_H9a ]. % 0.84/1.06 generalize (zenon_H9f (a1224)). zenon_intro zenon_H201. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H201); [ zenon_intro zenon_He | zenon_intro zenon_H202 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H204 | zenon_intro zenon_H203 ]. % 0.84/1.06 exact (zenon_H200 zenon_H204). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H98 | zenon_intro zenon_H99 ]. % 0.84/1.06 exact (zenon_H92 zenon_H98). % 0.84/1.06 exact (zenon_H99 zenon_H94). % 0.84/1.06 exact (zenon_H9a zenon_H93). % 0.84/1.06 (* end of lemma zenon_L178_ *) % 0.84/1.06 assert (zenon_L179_ : ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H27 zenon_H93 zenon_H94 zenon_H9f zenon_H92 zenon_H1d zenon_H1c zenon_H1b zenon_Hf zenon_H24. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H10 | zenon_intro zenon_H2a ]. % 0.84/1.06 apply (zenon_L178_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H1a | zenon_intro zenon_H25 ]. % 0.84/1.06 apply (zenon_L9_); trivial. % 0.84/1.06 exact (zenon_H24 zenon_H25). % 0.84/1.06 (* end of lemma zenon_L179_ *) % 0.84/1.06 assert (zenon_L180_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1250))) -> (c3_1 (a1250)) -> (c2_1 (a1250)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1d0 zenon_Hf zenon_H51 zenon_H1aa zenon_H1ab zenon_H1ac. % 0.84/1.06 generalize (zenon_H1d0 (a1250)). zenon_intro zenon_H205. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H205); [ zenon_intro zenon_He | zenon_intro zenon_H206 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1af ]. % 0.84/1.06 generalize (zenon_H51 (a1250)). zenon_intro zenon_H207. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H207); [ zenon_intro zenon_He | zenon_intro zenon_H208 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H209 ]. % 0.84/1.06 exact (zenon_H1aa zenon_H1b4). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1b5 ]. % 0.84/1.06 exact (zenon_H1b6 zenon_H1b0). % 0.84/1.06 exact (zenon_H1b5 zenon_H1ab). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b5 ]. % 0.84/1.06 exact (zenon_H1b7 zenon_H1ac). % 0.84/1.06 exact (zenon_H1b5 zenon_H1ab). % 0.84/1.06 (* end of lemma zenon_L180_ *) % 0.84/1.06 assert (zenon_L181_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1250)) -> (c3_1 (a1250)) -> (~(c0_1 (a1250))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1da zenon_H1ac zenon_H1ab zenon_H1aa zenon_H51 zenon_H150 zenon_H148 zenon_H147 zenon_Hf zenon_H42. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H145 | zenon_intro zenon_H1d0 ]. % 0.84/1.06 apply (zenon_L149_); trivial. % 0.84/1.06 apply (zenon_L180_); trivial. % 0.84/1.06 (* end of lemma zenon_L181_ *) % 0.84/1.06 assert (zenon_L182_ : ((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((hskp25)\/(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1b8 zenon_H64 zenon_Hb zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H1da zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H1f1 zenon_H1f3 zenon_H2b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.06 apply (zenon_L6_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H51 | zenon_intro zenon_H1f4 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.84/1.06 apply (zenon_L179_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.84/1.06 apply (zenon_L38_); trivial. % 0.84/1.06 apply (zenon_L181_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1f2 ]. % 0.84/1.06 apply (zenon_L164_); trivial. % 0.84/1.06 exact (zenon_H1f1 zenon_H1f2). % 0.84/1.06 apply (zenon_L166_); trivial. % 0.84/1.06 (* end of lemma zenon_L182_ *) % 0.84/1.06 assert (zenon_L183_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c2_1 (a1213)) -> (c3_1 (a1213)) -> (c1_1 (a1213)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H42 zenon_Hf zenon_H1ee zenon_H1d2 zenon_H1d3 zenon_H1d1. % 0.84/1.06 generalize (zenon_H42 (a1213)). zenon_intro zenon_H20a. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H20a); [ zenon_intro zenon_He | zenon_intro zenon_H20b ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H20d | zenon_intro zenon_H20c ]. % 0.84/1.06 generalize (zenon_H1ee (a1213)). zenon_intro zenon_H20e. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H20e); [ zenon_intro zenon_He | zenon_intro zenon_H20f ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H210 | zenon_intro zenon_H1d6 ]. % 0.84/1.06 exact (zenon_H20d zenon_H210). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1d8 ]. % 0.84/1.06 exact (zenon_H1d9 zenon_H1d2). % 0.84/1.06 exact (zenon_H1d8 zenon_H1d3). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1d9 ]. % 0.84/1.06 exact (zenon_H1d7 zenon_H1d1). % 0.84/1.06 exact (zenon_H1d9 zenon_H1d2). % 0.84/1.06 (* end of lemma zenon_L183_ *) % 0.84/1.06 assert (zenon_L184_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (c1_1 (a1213)) -> (c3_1 (a1213)) -> (c2_1 (a1213)) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (~(hskp3)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H211 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H65 zenon_H1d1 zenon_H1d3 zenon_H1d2 zenon_Hf zenon_H42 zenon_H1f1. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H18a | zenon_intro zenon_H1f4 ]. % 0.84/1.06 apply (zenon_L175_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1f2 ]. % 0.84/1.06 apply (zenon_L183_); trivial. % 0.84/1.06 exact (zenon_H1f1 zenon_H1f2). % 0.84/1.06 (* end of lemma zenon_L184_ *) % 0.84/1.06 assert (zenon_L185_ : (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (c1_1 (a1213)) -> (c3_1 (a1213)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H18a zenon_Hf zenon_Hf3 zenon_H1d1 zenon_H1d3. % 0.84/1.06 generalize (zenon_H18a (a1213)). zenon_intro zenon_H212. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H212); [ zenon_intro zenon_He | zenon_intro zenon_H213 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H210 | zenon_intro zenon_H214 ]. % 0.84/1.06 generalize (zenon_Hf3 (a1213)). zenon_intro zenon_H215. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H215); [ zenon_intro zenon_He | zenon_intro zenon_H216 ]. % 0.84/1.06 exact (zenon_He zenon_Hf). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H20d | zenon_intro zenon_H214 ]. % 0.84/1.06 exact (zenon_H20d zenon_H210). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1d8 ]. % 0.84/1.06 exact (zenon_H1d7 zenon_H1d1). % 0.84/1.06 exact (zenon_H1d8 zenon_H1d3). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1d8 ]. % 0.84/1.06 exact (zenon_H1d7 zenon_H1d1). % 0.84/1.06 exact (zenon_H1d8 zenon_H1d3). % 0.84/1.06 (* end of lemma zenon_L185_ *) % 0.84/1.06 assert (zenon_L186_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (c1_1 (a1213)) -> (c3_1 (a1213)) -> (c2_1 (a1213)) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (~(hskp3)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H211 zenon_Hf3 zenon_H1d1 zenon_H1d3 zenon_H1d2 zenon_Hf zenon_H42 zenon_H1f1. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H18a | zenon_intro zenon_H1f4 ]. % 0.84/1.06 apply (zenon_L185_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1f2 ]. % 0.84/1.06 apply (zenon_L183_); trivial. % 0.84/1.06 exact (zenon_H1f1 zenon_H1f2). % 0.84/1.06 (* end of lemma zenon_L186_ *) % 0.84/1.06 assert (zenon_L187_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (ndr1_0) -> (c1_1 (a1213)) -> (c2_1 (a1213)) -> (c3_1 (a1213)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H42 zenon_H211 zenon_Hf zenon_H1d1 zenon_H1d2 zenon_H1d3. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H65 | zenon_intro zenon_H218 ]. % 0.84/1.06 apply (zenon_L184_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1d0 ]. % 0.84/1.06 apply (zenon_L186_); trivial. % 0.84/1.07 apply (zenon_L150_); trivial. % 0.84/1.07 (* end of lemma zenon_L187_ *) % 0.84/1.07 assert (zenon_L188_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H9f zenon_Hf zenon_Hf3 zenon_H93 zenon_H94 zenon_H92. % 0.84/1.07 generalize (zenon_H9f (a1224)). zenon_intro zenon_H201. % 0.84/1.07 apply (zenon_imply_s _ _ zenon_H201); [ zenon_intro zenon_He | zenon_intro zenon_H202 ]. % 0.84/1.07 exact (zenon_He zenon_Hf). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H204 | zenon_intro zenon_H203 ]. % 0.84/1.07 generalize (zenon_Hf3 (a1224)). zenon_intro zenon_H219. % 0.84/1.07 apply (zenon_imply_s _ _ zenon_H219); [ zenon_intro zenon_He | zenon_intro zenon_H21a ]. % 0.84/1.07 exact (zenon_He zenon_Hf). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H200 | zenon_intro zenon_H97 ]. % 0.84/1.07 exact (zenon_H200 zenon_H204). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ]. % 0.84/1.07 exact (zenon_H9a zenon_H93). % 0.84/1.07 exact (zenon_H99 zenon_H94). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H98 | zenon_intro zenon_H99 ]. % 0.84/1.07 exact (zenon_H92 zenon_H98). % 0.84/1.07 exact (zenon_H99 zenon_H94). % 0.84/1.07 (* end of lemma zenon_L188_ *) % 0.84/1.07 assert (zenon_L189_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (ndr1_0) -> (c0_1 (a1208)) -> (c1_1 (a1208)) -> (c2_1 (a1208)) -> False). % 0.84/1.07 do 0 intro. intros zenon_Ha9 zenon_Hf3 zenon_H94 zenon_H93 zenon_H92 zenon_Hf zenon_H43 zenon_H44 zenon_H45. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.84/1.07 apply (zenon_L188_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.84/1.07 apply (zenon_L38_); trivial. % 0.84/1.07 apply (zenon_L20_); trivial. % 0.84/1.07 (* end of lemma zenon_L189_ *) % 0.84/1.07 assert (zenon_L190_ : ((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp5)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H4c zenon_H107 zenon_H54 zenon_H53 zenon_H52 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H5. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H51 | zenon_intro zenon_H108 ]. % 0.84/1.07 apply (zenon_L23_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H6 ]. % 0.84/1.07 apply (zenon_L189_); trivial. % 0.84/1.07 exact (zenon_H5 zenon_H6). % 0.84/1.07 (* end of lemma zenon_L190_ *) % 0.84/1.07 assert (zenon_L191_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(hskp25)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H50 zenon_H107 zenon_H5 zenon_H93 zenon_H94 zenon_H92 zenon_Ha9 zenon_H54 zenon_H53 zenon_H52 zenon_H9 zenon_H34 zenon_H36. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.84/1.07 apply (zenon_L18_); trivial. % 0.84/1.07 apply (zenon_L190_); trivial. % 0.84/1.07 (* end of lemma zenon_L191_ *) % 0.84/1.07 assert (zenon_L192_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H186 zenon_H64 zenon_H36 zenon_H34 zenon_Ha9 zenon_H92 zenon_H94 zenon_H93 zenon_H5 zenon_H107 zenon_H50 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.07 apply (zenon_L111_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.07 apply (zenon_L191_); trivial. % 0.84/1.07 apply (zenon_L110_); trivial. % 0.84/1.07 (* end of lemma zenon_L192_ *) % 0.84/1.07 assert (zenon_L193_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 0.84/1.07 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_H189 zenon_H159 zenon_H1ec zenon_H172 zenon_H1ea zenon_H180 zenon_H1e1 zenon_H2e zenon_H1df zenon_H50 zenon_H1cc zenon_H1ca zenon_H1da zenon_H150 zenon_H148 zenon_H147 zenon_Ha9 zenon_H1de zenon_H67 zenon_H68 zenon_H69 zenon_H9d. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.84/1.07 apply (zenon_L40_); trivial. % 0.84/1.07 apply (zenon_L163_); trivial. % 0.84/1.07 (* end of lemma zenon_L193_ *) % 0.84/1.07 assert (zenon_L194_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H189 zenon_H159 zenon_H1ec zenon_H172 zenon_H1ea zenon_H180 zenon_H1e1 zenon_H2e zenon_H1df zenon_H50 zenon_H1cc zenon_H1ca zenon_H1da zenon_Ha9 zenon_H1de zenon_H9d zenon_H192 zenon_H150 zenon_H148 zenon_H147 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H7b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.84/1.07 apply (zenon_L177_); trivial. % 0.84/1.07 apply (zenon_L193_); trivial. % 0.84/1.07 (* end of lemma zenon_L194_ *) % 0.84/1.07 assert (zenon_L195_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H161 zenon_Hf zenon_H38 zenon_Hcd zenon_Hce. % 0.84/1.07 generalize (zenon_H161 (a1216)). zenon_intro zenon_H21b. % 0.84/1.07 apply (zenon_imply_s _ _ zenon_H21b); [ zenon_intro zenon_He | zenon_intro zenon_H21c ]. % 0.84/1.07 exact (zenon_He zenon_Hf). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H21d | zenon_intro zenon_Hd1 ]. % 0.84/1.07 generalize (zenon_H38 (a1216)). zenon_intro zenon_H21e. % 0.84/1.07 apply (zenon_imply_s _ _ zenon_H21e); [ zenon_intro zenon_He | zenon_intro zenon_H21f ]. % 0.84/1.07 exact (zenon_He zenon_Hf). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H220 ]. % 0.84/1.07 exact (zenon_Hcd zenon_Hd4). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H221 ]. % 0.84/1.07 exact (zenon_Hce zenon_Hd3). % 0.84/1.07 exact (zenon_H221 zenon_H21d). % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.84/1.07 exact (zenon_Hcd zenon_Hd4). % 0.84/1.07 exact (zenon_Hce zenon_Hd3). % 0.84/1.07 (* end of lemma zenon_L195_ *) % 0.84/1.07 assert (zenon_L196_ : ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H4d zenon_H150 zenon_H148 zenon_H147 zenon_H145 zenon_Hce zenon_Hcd zenon_Hf zenon_H161. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H38 | zenon_intro zenon_H42 ]. % 0.84/1.07 apply (zenon_L195_); trivial. % 0.84/1.07 apply (zenon_L149_); trivial. % 0.84/1.07 (* end of lemma zenon_L196_ *) % 0.84/1.07 assert (zenon_L197_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H157 zenon_H161 zenon_Hcd zenon_Hce zenon_H147 zenon_H148 zenon_H150 zenon_H4d zenon_H1d zenon_H1c zenon_H1b zenon_Hf zenon_H89. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H145 | zenon_intro zenon_H158 ]. % 0.84/1.07 apply (zenon_L196_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H1a | zenon_intro zenon_H8a ]. % 0.84/1.07 apply (zenon_L9_); trivial. % 0.84/1.07 exact (zenon_H89 zenon_H8a). % 0.84/1.07 (* end of lemma zenon_L197_ *) % 0.84/1.07 assert (zenon_L198_ : ((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp9)) -> (c0_1 (a1204)) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H182 zenon_H181 zenon_H89 zenon_H1b zenon_H1c zenon_H1d zenon_H4d zenon_Hce zenon_Hcd zenon_H157 zenon_H150 zenon_H148 zenon_H147. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H161 | zenon_intro zenon_H185 ]. % 0.84/1.07 apply (zenon_L197_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H173 | zenon_intro zenon_Hf3 ]. % 0.84/1.07 apply (zenon_L108_); trivial. % 0.84/1.07 apply (zenon_L109_); trivial. % 0.84/1.07 (* end of lemma zenon_L198_ *) % 0.84/1.07 assert (zenon_L199_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H26 zenon_H180 zenon_H181 zenon_H157 zenon_H89 zenon_Hcd zenon_Hce zenon_H147 zenon_H148 zenon_H150 zenon_H4d zenon_H172. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H161 | zenon_intro zenon_H171 ]. % 0.84/1.07 apply (zenon_L197_); trivial. % 0.84/1.07 exact (zenon_H170 zenon_H171). % 0.84/1.07 apply (zenon_L198_); trivial. % 0.84/1.07 (* end of lemma zenon_L199_ *) % 0.84/1.07 assert (zenon_L200_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H2b zenon_H180 zenon_H181 zenon_H157 zenon_H89 zenon_Hcd zenon_Hce zenon_H147 zenon_H148 zenon_H150 zenon_H4d zenon_H172 zenon_Hc zenon_Hb. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.07 apply (zenon_L6_); trivial. % 0.84/1.07 apply (zenon_L199_); trivial. % 0.84/1.07 (* end of lemma zenon_L200_ *) % 0.84/1.07 assert (zenon_L201_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> False). % 0.84/1.07 do 0 intro. intros zenon_H172 zenon_H170 zenon_Hce zenon_Hcd zenon_H38 zenon_Hf. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H161 | zenon_intro zenon_H171 ]. % 0.84/1.07 apply (zenon_L195_); trivial. % 0.84/1.07 exact (zenon_H170 zenon_H171). % 0.84/1.07 (* end of lemma zenon_L201_ *) % 0.84/1.07 assert (zenon_L202_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (ndr1_0) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp4)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H15f zenon_H54 zenon_H53 zenon_H52 zenon_Hf zenon_Hcd zenon_Hce zenon_H170 zenon_H172 zenon_H15d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H51 | zenon_intro zenon_H160 ]. % 0.84/1.07 apply (zenon_L23_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H38 | zenon_intro zenon_H15e ]. % 0.84/1.07 apply (zenon_L201_); trivial. % 0.84/1.07 exact (zenon_H15d zenon_H15e). % 0.84/1.07 (* end of lemma zenon_L202_ *) % 0.84/1.07 assert (zenon_L203_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (ndr1_0) -> (c0_1 (a1214)) -> (c1_1 (a1214)) -> (c3_1 (a1214)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H181 zenon_Hce zenon_Hcd zenon_H38 zenon_H150 zenon_H148 zenon_H147 zenon_Hf zenon_H177 zenon_H178 zenon_H179. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H161 | zenon_intro zenon_H185 ]. % 0.84/1.07 apply (zenon_L195_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H173 | zenon_intro zenon_Hf3 ]. % 0.84/1.07 apply (zenon_L108_); trivial. % 0.84/1.07 apply (zenon_L109_); trivial. % 0.84/1.07 (* end of lemma zenon_L203_ *) % 0.84/1.07 assert (zenon_L204_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H60 zenon_H180 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H172 zenon_Hce zenon_Hcd zenon_H15d zenon_H15f. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.07 apply (zenon_L202_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H51 | zenon_intro zenon_H160 ]. % 0.84/1.07 apply (zenon_L23_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H38 | zenon_intro zenon_H15e ]. % 0.84/1.07 apply (zenon_L203_); trivial. % 0.84/1.07 exact (zenon_H15d zenon_H15e). % 0.84/1.07 (* end of lemma zenon_L204_ *) % 0.84/1.07 assert (zenon_L205_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H64 zenon_H15d zenon_H15f zenon_Hb zenon_H172 zenon_H4d zenon_H150 zenon_H148 zenon_H147 zenon_Hce zenon_Hcd zenon_H89 zenon_H157 zenon_H181 zenon_H180 zenon_H2b. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.07 apply (zenon_L200_); trivial. % 0.84/1.07 apply (zenon_L204_); trivial. % 0.84/1.07 (* end of lemma zenon_L205_ *) % 0.84/1.07 assert (zenon_L206_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (c0_1 (a1267)) -> (~(c2_1 (a1267))) -> (~(c1_1 (a1267))) -> (ndr1_0) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1c6 zenon_H13e zenon_H13d zenon_H13c zenon_Hf zenon_Hcd zenon_Hce zenon_H170 zenon_H172 zenon_H24. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H13b | zenon_intro zenon_H1c7 ]. % 0.84/1.07 apply (zenon_L95_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H38 | zenon_intro zenon_H25 ]. % 0.84/1.07 apply (zenon_L201_); trivial. % 0.84/1.07 exact (zenon_H24 zenon_H25). % 0.84/1.07 (* end of lemma zenon_L206_ *) % 0.84/1.07 assert (zenon_L207_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (c3_1 (a1250)) -> (c2_1 (a1250)) -> (~(c0_1 (a1250))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H211 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H65 zenon_H1ab zenon_H1ac zenon_H1aa zenon_Hf zenon_H1f1. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H18a | zenon_intro zenon_H1f4 ]. % 0.84/1.07 apply (zenon_L175_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1f2 ]. % 0.84/1.07 apply (zenon_L164_); trivial. % 0.84/1.07 exact (zenon_H1f1 zenon_H1f2). % 0.84/1.07 (* end of lemma zenon_L207_ *) % 0.84/1.07 assert (zenon_L208_ : ((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a1250)) -> (c2_1 (a1250)) -> (~(c0_1 (a1250))) -> (~(hskp3)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H182 zenon_H1f3 zenon_H211 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H217 zenon_H1ab zenon_H1ac zenon_H1aa zenon_H1f1. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H51 | zenon_intro zenon_H1f4 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H65 | zenon_intro zenon_H218 ]. % 0.84/1.07 apply (zenon_L207_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1d0 ]. % 0.84/1.07 apply (zenon_L109_); trivial. % 0.84/1.07 apply (zenon_L180_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1f2 ]. % 0.84/1.07 apply (zenon_L164_); trivial. % 0.84/1.07 exact (zenon_H1f1 zenon_H1f2). % 0.84/1.07 (* end of lemma zenon_L208_ *) % 0.84/1.07 assert (zenon_L209_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (ndr1_0) -> (c0_1 (a1214)) -> (c1_1 (a1214)) -> (c3_1 (a1214)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H222 zenon_H161 zenon_H4d zenon_H10b zenon_H10a zenon_H109 zenon_H181 zenon_Hce zenon_Hcd zenon_H150 zenon_H148 zenon_H147 zenon_Hf zenon_H177 zenon_H178 zenon_H179. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H145 | zenon_intro zenon_H223 ]. % 0.84/1.07 apply (zenon_L196_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H66 | zenon_intro zenon_H38 ]. % 0.84/1.07 apply (zenon_L72_); trivial. % 0.84/1.07 apply (zenon_L203_); trivial. % 0.84/1.07 (* end of lemma zenon_L209_ *) % 0.84/1.07 assert (zenon_L210_ : ((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H182 zenon_Hcd zenon_Hce zenon_H181 zenon_H109 zenon_H10a zenon_H10b zenon_H4d zenon_H222 zenon_H150 zenon_H148 zenon_H147. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H161 | zenon_intro zenon_H185 ]. % 0.84/1.07 apply (zenon_L209_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H173 | zenon_intro zenon_Hf3 ]. % 0.84/1.07 apply (zenon_L108_); trivial. % 0.84/1.07 apply (zenon_L109_); trivial. % 0.84/1.07 (* end of lemma zenon_L210_ *) % 0.84/1.07 assert (zenon_L211_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H60 zenon_H180 zenon_H4d zenon_H150 zenon_H148 zenon_H147 zenon_H109 zenon_H10a zenon_H10b zenon_H181 zenon_H222 zenon_H172 zenon_Hce zenon_Hcd zenon_H15d zenon_H15f. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.07 apply (zenon_L202_); trivial. % 0.84/1.07 apply (zenon_L210_); trivial. % 0.84/1.07 (* end of lemma zenon_L211_ *) % 0.84/1.07 assert (zenon_L212_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H186 zenon_H64 zenon_H4d zenon_H109 zenon_H10a zenon_H10b zenon_H222 zenon_Hce zenon_Hcd zenon_H15d zenon_H15f zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.07 apply (zenon_L111_); trivial. % 0.84/1.07 apply (zenon_L211_); trivial. % 0.84/1.07 (* end of lemma zenon_L212_ *) % 0.84/1.07 assert (zenon_L213_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((hskp25)\/(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H11b zenon_H189 zenon_H64 zenon_H15d zenon_H15f zenon_Hb zenon_H27 zenon_H2b zenon_H139 zenon_H9b zenon_H1c6 zenon_H24 zenon_Hcd zenon_Hce zenon_H172 zenon_H222 zenon_H181 zenon_H147 zenon_H148 zenon_H150 zenon_H4d zenon_H180 zenon_H159. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.84/1.07 apply (zenon_L94_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.07 apply (zenon_L206_); trivial. % 0.84/1.07 apply (zenon_L210_); trivial. % 0.84/1.07 apply (zenon_L212_); trivial. % 0.84/1.07 (* end of lemma zenon_L213_ *) % 0.84/1.07 assert (zenon_L214_ : ((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1db zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H94 zenon_H93 zenon_H92 zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.84/1.07 apply (zenon_L41_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.84/1.07 apply (zenon_L38_); trivial. % 0.84/1.07 apply (zenon_L187_); trivial. % 0.84/1.07 (* end of lemma zenon_L214_ *) % 0.84/1.07 assert (zenon_L215_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(hskp19)) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1de zenon_Ha9 zenon_H211 zenon_H1f1 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H217 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H137 zenon_H1ca zenon_H1cc. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.84/1.07 apply (zenon_L148_); trivial. % 0.84/1.07 apply (zenon_L214_); trivial. % 0.84/1.07 (* end of lemma zenon_L215_ *) % 0.84/1.07 assert (zenon_L216_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1250)) -> (c3_1 (a1250)) -> (~(c0_1 (a1250))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp26)) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H180 zenon_H5b zenon_H1d zenon_H1c zenon_H1b zenon_Hcd zenon_Hce zenon_H181 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_H1da zenon_H1ac zenon_H1ab zenon_H1aa zenon_H150 zenon_H148 zenon_H147 zenon_Ha9 zenon_H32 zenon_H135 zenon_H1df. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.07 apply (zenon_L154_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.84/1.07 apply (zenon_L41_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.84/1.07 apply (zenon_L38_); trivial. % 0.84/1.07 apply (zenon_L181_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.84/1.07 apply (zenon_L203_); trivial. % 0.84/1.07 apply (zenon_L9_); trivial. % 0.84/1.07 (* end of lemma zenon_L216_ *) % 0.84/1.07 assert (zenon_L217_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (~(c0_1 (a1250))) -> (c3_1 (a1250)) -> (c2_1 (a1250)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H2b zenon_H50 zenon_H1df zenon_H135 zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H1da zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H181 zenon_Hce zenon_Hcd zenon_H5b zenon_H180 zenon_Hc zenon_Hb. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.07 apply (zenon_L6_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.84/1.07 apply (zenon_L216_); trivial. % 0.84/1.07 apply (zenon_L42_); trivial. % 0.84/1.07 (* end of lemma zenon_L217_ *) % 0.84/1.07 assert (zenon_L218_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp28)) -> (ndr1_0) -> (~(c1_1 (a1267))) -> (~(c2_1 (a1267))) -> (c0_1 (a1267)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H172 zenon_H170 zenon_Hf zenon_H13c zenon_H13d zenon_H13e zenon_H163 zenon_H164 zenon_H16b zenon_H1ea. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H161 | zenon_intro zenon_H171 ]. % 0.84/1.07 apply (zenon_L160_); trivial. % 0.84/1.07 exact (zenon_H170 zenon_H171). % 0.84/1.07 (* end of lemma zenon_L218_ *) % 0.84/1.07 assert (zenon_L219_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1250)) -> (c2_1 (a1250)) -> (~(c0_1 (a1250))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H15a zenon_H180 zenon_H1f3 zenon_H211 zenon_H1f1 zenon_H1ab zenon_H1ac zenon_H1aa zenon_Hbe zenon_Hbd zenon_Hbc zenon_H217 zenon_H1ea zenon_H16b zenon_H164 zenon_H163 zenon_H172. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.07 apply (zenon_L218_); trivial. % 0.84/1.07 apply (zenon_L208_); trivial. % 0.84/1.07 (* end of lemma zenon_L219_ *) % 0.84/1.07 assert (zenon_L220_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H186 zenon_H1bd zenon_H64 zenon_H2b zenon_H50 zenon_H1df zenon_Ha9 zenon_H1da zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_Hce zenon_Hcd zenon_H5b zenon_Hb zenon_H1ea zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_H1f3 zenon_H159 zenon_H19a zenon_H103 zenon_H172 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H1a8. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.84/1.07 apply (zenon_L123_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.84/1.07 apply (zenon_L217_); trivial. % 0.84/1.07 apply (zenon_L219_); trivial. % 0.84/1.07 apply (zenon_L166_); trivial. % 0.84/1.07 (* end of lemma zenon_L220_ *) % 0.84/1.07 assert (zenon_L221_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H189 zenon_H1bd zenon_H64 zenon_H2b zenon_H50 zenon_H1df zenon_H1da zenon_Hce zenon_Hcd zenon_H5b zenon_Hb zenon_H1ea zenon_H1f3 zenon_H159 zenon_H19a zenon_H103 zenon_H172 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H1a8 zenon_H1cc zenon_H1ca zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_Ha9 zenon_H1de. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.84/1.07 apply (zenon_L215_); trivial. % 0.84/1.07 apply (zenon_L220_); trivial. % 0.84/1.07 (* end of lemma zenon_L221_ *) % 0.84/1.07 assert (zenon_L222_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp26)) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H180 zenon_H4d zenon_H150 zenon_H148 zenon_H147 zenon_Hce zenon_Hcd zenon_H109 zenon_H10a zenon_H10b zenon_H181 zenon_H222 zenon_H32 zenon_H135 zenon_H1df. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.07 apply (zenon_L154_); trivial. % 0.84/1.07 apply (zenon_L210_); trivial. % 0.84/1.07 (* end of lemma zenon_L222_ *) % 0.84/1.07 assert (zenon_L223_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H50 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H1df zenon_H135 zenon_H222 zenon_H181 zenon_H10b zenon_H10a zenon_H109 zenon_Hcd zenon_Hce zenon_H147 zenon_H148 zenon_H150 zenon_H4d zenon_H180. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.84/1.07 apply (zenon_L222_); trivial. % 0.84/1.07 apply (zenon_L42_); trivial. % 0.84/1.07 (* end of lemma zenon_L223_ *) % 0.84/1.07 assert (zenon_L224_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (c0_1 (a1267)) -> (~(c2_1 (a1267))) -> (~(c1_1 (a1267))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp27)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H180 zenon_H4d zenon_H150 zenon_H148 zenon_H147 zenon_Hce zenon_Hcd zenon_H109 zenon_H10a zenon_H10b zenon_H181 zenon_H222 zenon_H1ea zenon_H16b zenon_H164 zenon_H163 zenon_H13e zenon_H13d zenon_H13c zenon_Hf zenon_H172 zenon_H1c8 zenon_H1ec. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.07 apply (zenon_L161_); trivial. % 0.84/1.07 apply (zenon_L210_); trivial. % 0.84/1.07 (* end of lemma zenon_L224_ *) % 0.84/1.07 assert (zenon_L225_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H186 zenon_H159 zenon_H1de zenon_H1da zenon_H1ec zenon_H172 zenon_H1ea zenon_H180 zenon_H4d zenon_H150 zenon_H148 zenon_H147 zenon_Hce zenon_Hcd zenon_H109 zenon_H10a zenon_H10b zenon_H181 zenon_H222 zenon_H1df zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H50. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.84/1.07 apply (zenon_L223_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.84/1.07 apply (zenon_L224_); trivial. % 0.84/1.07 apply (zenon_L152_); trivial. % 0.84/1.07 (* end of lemma zenon_L225_ *) % 0.84/1.07 assert (zenon_L226_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_Hb7 zenon_H11e zenon_H1ec zenon_H4d zenon_H222 zenon_H1de zenon_Ha9 zenon_H211 zenon_H1f1 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H217 zenon_H94 zenon_H93 zenon_H92 zenon_H1ca zenon_H1cc zenon_H1a8 zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H172 zenon_H19a zenon_H159 zenon_H1f3 zenon_H1ea zenon_Hb zenon_H5b zenon_Hcd zenon_Hce zenon_H1da zenon_H1df zenon_H50 zenon_H2b zenon_H64 zenon_H1bd zenon_H189. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.84/1.07 apply (zenon_L221_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.84/1.07 apply (zenon_L215_); trivial. % 0.84/1.07 apply (zenon_L225_); trivial. % 0.84/1.07 (* end of lemma zenon_L226_ *) % 0.84/1.07 assert (zenon_L227_ : ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1216)))/\((~(c2_1 (a1216)))/\(~(c3_1 (a1216))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((hskp25)\/(hskp21)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp15)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H224 zenon_H222 zenon_H134 zenon_H7b zenon_Hf2 zenon_H107 zenon_H1c6 zenon_H189 zenon_H5b zenon_H4d zenon_H172 zenon_H27 zenon_H181 zenon_H180 zenon_H159 zenon_H2b zenon_H157 zenon_H147 zenon_H148 zenon_H150 zenon_H155 zenon_Hb zenon_H139 zenon_H36 zenon_H34 zenon_H112 zenon_H50 zenon_H15d zenon_H15f zenon_H61 zenon_H64 zenon_H192 zenon_H193 zenon_H1a8 zenon_H19a zenon_H1b9 zenon_H1bd zenon_H77 zenon_H5 zenon_H8c zenon_H90 zenon_H11e zenon_Hca zenon_Hb4 zenon_H1ec zenon_H1ea zenon_H1e1 zenon_H1df zenon_H1cc zenon_H1ca zenon_H1da zenon_Ha9 zenon_H1de zenon_H9d zenon_H1f3 zenon_H1f1 zenon_Hba zenon_H217 zenon_H211 zenon_H133. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.84/1.07 apply (zenon_L145_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.84/1.07 apply (zenon_L114_); trivial. % 0.84/1.07 apply (zenon_L163_); trivial. % 0.84/1.07 apply (zenon_L174_); trivial. % 0.84/1.07 apply (zenon_L89_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.84/1.07 apply (zenon_L177_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.84/1.07 apply (zenon_L123_); trivial. % 0.84/1.07 apply (zenon_L182_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.07 apply (zenon_L6_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.84/1.07 apply (zenon_L148_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.84/1.07 apply (zenon_L179_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.84/1.07 apply (zenon_L38_); trivial. % 0.84/1.07 apply (zenon_L187_); trivial. % 0.84/1.07 apply (zenon_L170_); trivial. % 0.84/1.07 apply (zenon_L192_); trivial. % 0.84/1.07 apply (zenon_L163_); trivial. % 0.84/1.07 apply (zenon_L194_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.84/1.07 apply (zenon_L205_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.84/1.07 apply (zenon_L177_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.84/1.07 apply (zenon_L123_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.84/1.07 apply (zenon_L94_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.07 apply (zenon_L206_); trivial. % 0.84/1.07 apply (zenon_L208_); trivial. % 0.84/1.07 apply (zenon_L192_); trivial. % 0.84/1.07 apply (zenon_L213_); trivial. % 0.84/1.07 apply (zenon_L226_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.84/1.07 apply (zenon_L177_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.84/1.07 apply (zenon_L40_); trivial. % 0.84/1.07 apply (zenon_L226_); trivial. % 0.84/1.07 (* end of lemma zenon_L227_ *) % 0.84/1.07 assert (zenon_L228_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H65 zenon_Hf zenon_H228 zenon_H229 zenon_H22a. % 0.84/1.07 generalize (zenon_H65 (a1212)). zenon_intro zenon_H22b. % 0.84/1.07 apply (zenon_imply_s _ _ zenon_H22b); [ zenon_intro zenon_He | zenon_intro zenon_H22c ]. % 0.84/1.07 exact (zenon_He zenon_Hf). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H22e | zenon_intro zenon_H22d ]. % 0.84/1.07 exact (zenon_H228 zenon_H22e). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H230 | zenon_intro zenon_H22f ]. % 0.84/1.07 exact (zenon_H229 zenon_H230). % 0.84/1.07 exact (zenon_H22f zenon_H22a). % 0.84/1.07 (* end of lemma zenon_L228_ *) % 0.84/1.07 assert (zenon_L229_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp11)) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (ndr1_0) -> False). % 0.84/1.07 do 0 intro. intros zenon_H7b zenon_H79 zenon_H22a zenon_H229 zenon_H228 zenon_Hf. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H65 | zenon_intro zenon_H7a ]. % 0.84/1.07 apply (zenon_L228_); trivial. % 0.84/1.07 exact (zenon_H79 zenon_H7a). % 0.84/1.07 (* end of lemma zenon_L229_ *) % 0.84/1.07 assert (zenon_L230_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (c0_1 (a1204)) -> (c1_1 (a1204)) -> (c2_1 (a1204)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H42 zenon_Hf zenon_H1b zenon_Haf zenon_H1c. % 0.84/1.07 generalize (zenon_H42 (a1204)). zenon_intro zenon_Hb0. % 0.84/1.07 apply (zenon_imply_s _ _ zenon_Hb0); [ zenon_intro zenon_He | zenon_intro zenon_Hb1 ]. % 0.84/1.07 exact (zenon_He zenon_Hf). % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H21 | zenon_intro zenon_Hb2 ]. % 0.84/1.07 exact (zenon_H21 zenon_H1b). % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hab | zenon_intro zenon_H23 ]. % 0.84/1.07 exact (zenon_Hab zenon_Haf). % 0.84/1.07 exact (zenon_H23 zenon_H1c). % 0.84/1.07 (* end of lemma zenon_L230_ *) % 0.84/1.07 assert (zenon_L231_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (c1_1 (a1214)) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (c0_1 (a1214)) -> (c3_1 (a1214)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1d0 zenon_Hf zenon_H178 zenon_H123 zenon_H177 zenon_H179. % 0.84/1.07 generalize (zenon_H1d0 (a1214)). zenon_intro zenon_H231. % 0.84/1.07 apply (zenon_imply_s _ _ zenon_H231); [ zenon_intro zenon_He | zenon_intro zenon_H232 ]. % 0.84/1.07 exact (zenon_He zenon_Hf). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17f | zenon_intro zenon_H233 ]. % 0.84/1.07 exact (zenon_H17f zenon_H178). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H234 | zenon_intro zenon_H17e ]. % 0.84/1.07 generalize (zenon_H123 (a1214)). zenon_intro zenon_H235. % 0.84/1.07 apply (zenon_imply_s _ _ zenon_H235); [ zenon_intro zenon_He | zenon_intro zenon_H236 ]. % 0.84/1.07 exact (zenon_He zenon_Hf). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H238 | zenon_intro zenon_H237 ]. % 0.84/1.07 exact (zenon_H234 zenon_H238). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ]. % 0.84/1.07 exact (zenon_H17d zenon_H177). % 0.84/1.07 exact (zenon_H17e zenon_H179). % 0.84/1.07 exact (zenon_H17e zenon_H179). % 0.84/1.07 (* end of lemma zenon_L231_ *) % 0.84/1.07 assert (zenon_L232_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (c3_1 (a1214)) -> (c0_1 (a1214)) -> (c1_1 (a1214)) -> (ndr1_0) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (~(hskp6)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H127 zenon_H1c zenon_H1b zenon_H42 zenon_H179 zenon_H177 zenon_H178 zenon_Hf zenon_H1d0 zenon_H3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H11f | zenon_intro zenon_H128 ]. % 0.84/1.07 generalize (zenon_H11f (a1204)). zenon_intro zenon_H239. % 0.84/1.07 apply (zenon_imply_s _ _ zenon_H239); [ zenon_intro zenon_He | zenon_intro zenon_H23a ]. % 0.84/1.07 exact (zenon_He zenon_Hf). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_Haf | zenon_intro zenon_H23b ]. % 0.84/1.07 apply (zenon_L230_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21 | zenon_intro zenon_H23 ]. % 0.84/1.07 exact (zenon_H21 zenon_H1b). % 0.84/1.07 exact (zenon_H23 zenon_H1c). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H4 ]. % 0.84/1.07 apply (zenon_L231_); trivial. % 0.84/1.07 exact (zenon_H3 zenon_H4). % 0.84/1.07 (* end of lemma zenon_L232_ *) % 0.84/1.07 assert (zenon_L233_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (c3_1 (a1214)) -> (c0_1 (a1214)) -> (c1_1 (a1214)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H127 zenon_H1c zenon_H1b zenon_H42 zenon_H179 zenon_H177 zenon_H178 zenon_Hf zenon_H3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H65 | zenon_intro zenon_H218 ]. % 0.84/1.07 apply (zenon_L228_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1d0 ]. % 0.84/1.07 apply (zenon_L109_); trivial. % 0.84/1.07 apply (zenon_L232_); trivial. % 0.84/1.07 (* end of lemma zenon_L233_ *) % 0.84/1.07 assert (zenon_L234_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (c0_1 (a1204)) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp26)) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H180 zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H92 zenon_H94 zenon_H93 zenon_H1b zenon_H1c zenon_H1d zenon_H24 zenon_H27 zenon_H32 zenon_H135 zenon_H1df. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.07 apply (zenon_L154_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.84/1.07 apply (zenon_L179_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.84/1.07 apply (zenon_L38_); trivial. % 0.84/1.07 apply (zenon_L233_); trivial. % 0.84/1.07 (* end of lemma zenon_L234_ *) % 0.84/1.07 assert (zenon_L235_ : ((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp10)) -> (c0_1 (a1204)) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H4c zenon_Ha9 zenon_H24 zenon_H1b zenon_H1c zenon_H1d zenon_H27 zenon_H94 zenon_H93 zenon_H92. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.84/1.07 apply (zenon_L179_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.84/1.07 apply (zenon_L38_); trivial. % 0.84/1.07 apply (zenon_L20_); trivial. % 0.84/1.07 (* end of lemma zenon_L235_ *) % 0.84/1.07 assert (zenon_L236_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H26 zenon_H50 zenon_H1df zenon_H135 zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H180. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.84/1.07 apply (zenon_L234_); trivial. % 0.84/1.07 apply (zenon_L235_); trivial. % 0.84/1.07 (* end of lemma zenon_L236_ *) % 0.84/1.07 assert (zenon_L237_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (c0_1 (a1259)) -> (~(c3_1 (a1259))) -> (~(c2_1 (a1259))) -> (~(hskp10)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H15a zenon_H1c6 zenon_H3b zenon_H3a zenon_H39 zenon_H24. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H13b | zenon_intro zenon_H1c7 ]. % 0.84/1.07 apply (zenon_L95_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H38 | zenon_intro zenon_H25 ]. % 0.84/1.07 apply (zenon_L19_); trivial. % 0.84/1.07 exact (zenon_H24 zenon_H25). % 0.84/1.07 (* end of lemma zenon_L237_ *) % 0.84/1.07 assert (zenon_L238_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H5d zenon_H159 zenon_H1c6 zenon_H50 zenon_H4d zenon_H34 zenon_H36 zenon_H180 zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H1df zenon_H2b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.07 apply (zenon_L22_); trivial. % 0.84/1.07 apply (zenon_L236_); trivial. % 0.84/1.07 apply (zenon_L237_); trivial. % 0.84/1.07 (* end of lemma zenon_L238_ *) % 0.84/1.07 assert (zenon_L239_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp6)) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> (ndr1_0) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.84/1.07 do 0 intro. intros zenon_Hba zenon_H61 zenon_H159 zenon_H1c6 zenon_H50 zenon_H4d zenon_H34 zenon_H36 zenon_H180 zenon_Ha9 zenon_H127 zenon_H217 zenon_H24 zenon_H27 zenon_H1df zenon_H2b zenon_H3 zenon_H2e zenon_H30 zenon_Hf zenon_H228 zenon_H229 zenon_H22a zenon_H7b. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.84/1.07 apply (zenon_L229_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.84/1.07 apply (zenon_L15_); trivial. % 0.84/1.07 apply (zenon_L238_); trivial. % 0.84/1.07 (* end of lemma zenon_L239_ *) % 0.84/1.07 assert (zenon_L240_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(hskp3)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (ndr1_0) -> (c1_1 (a1213)) -> (c2_1 (a1213)) -> (c3_1 (a1213)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1f1 zenon_H42 zenon_H211 zenon_Hf zenon_H1d1 zenon_H1d2 zenon_H1d3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H65 | zenon_intro zenon_H218 ]. % 0.84/1.07 apply (zenon_L228_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1d0 ]. % 0.84/1.07 apply (zenon_L186_); trivial. % 0.84/1.07 apply (zenon_L150_); trivial. % 0.84/1.07 (* end of lemma zenon_L240_ *) % 0.84/1.07 assert (zenon_L241_ : ((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1db zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H94 zenon_H93 zenon_H92 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1f1 zenon_H211. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.84/1.07 apply (zenon_L41_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.84/1.07 apply (zenon_L38_); trivial. % 0.84/1.07 apply (zenon_L240_); trivial. % 0.84/1.07 (* end of lemma zenon_L241_ *) % 0.84/1.07 assert (zenon_L242_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(hskp19)) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1de zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H211 zenon_H1f1 zenon_H217 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H137 zenon_H1ca zenon_H1cc. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.84/1.07 apply (zenon_L148_); trivial. % 0.84/1.07 apply (zenon_L241_); trivial. % 0.84/1.07 (* end of lemma zenon_L242_ *) % 0.84/1.07 assert (zenon_L243_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c0_1 (a1259)) -> (~(c3_1 (a1259))) -> (~(c2_1 (a1259))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H50 zenon_H4d zenon_H3b zenon_H3a zenon_H39 zenon_H1df zenon_H135 zenon_H1ca zenon_H2e zenon_H1e1 zenon_H180. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.84/1.07 apply (zenon_L156_); trivial. % 0.84/1.07 apply (zenon_L21_); trivial. % 0.84/1.07 (* end of lemma zenon_L243_ *) % 0.84/1.07 assert (zenon_L244_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H5d zenon_H159 zenon_H1ea zenon_H16b zenon_H164 zenon_H163 zenon_H172 zenon_H180 zenon_H1e1 zenon_H2e zenon_H1ca zenon_H1df zenon_H4d zenon_H50. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.84/1.07 apply (zenon_L243_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.07 apply (zenon_L218_); trivial. % 0.84/1.07 apply (zenon_L155_); trivial. % 0.84/1.07 (* end of lemma zenon_L244_ *) % 0.84/1.07 assert (zenon_L245_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp6)) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H186 zenon_H61 zenon_H159 zenon_H1ea zenon_H172 zenon_H180 zenon_H1e1 zenon_H1ca zenon_H1df zenon_H4d zenon_H50 zenon_H3 zenon_H2e zenon_H30. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.84/1.07 apply (zenon_L15_); trivial. % 0.84/1.07 apply (zenon_L244_); trivial. % 0.84/1.07 (* end of lemma zenon_L245_ *) % 0.84/1.07 assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (c1_1 (a1213)) -> (c2_1 (a1213)) -> (c3_1 (a1213)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H182 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1d1 zenon_H1d2 zenon_H1d3. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H65 | zenon_intro zenon_H218 ]. % 0.84/1.07 apply (zenon_L228_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1d0 ]. % 0.84/1.07 apply (zenon_L109_); trivial. % 0.84/1.07 apply (zenon_L150_); trivial. % 0.84/1.07 (* end of lemma zenon_L246_ *) % 0.84/1.07 assert (zenon_L247_ : ((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(c1_1 (a1267))) -> (~(c2_1 (a1267))) -> (c0_1 (a1267)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1db zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H13c zenon_H13d zenon_H13e zenon_H172 zenon_Hce zenon_Hcd zenon_H24 zenon_H1c6. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.07 apply (zenon_L206_); trivial. % 0.84/1.07 apply (zenon_L246_); trivial. % 0.84/1.07 (* end of lemma zenon_L247_ *) % 0.84/1.07 assert (zenon_L248_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp19)) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H159 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_Hce zenon_Hcd zenon_H24 zenon_H1c6 zenon_H1ca zenon_H1cc zenon_H137 zenon_H9b zenon_H139. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.84/1.07 apply (zenon_L94_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.84/1.07 apply (zenon_L148_); trivial. % 0.84/1.07 apply (zenon_L247_); trivial. % 0.84/1.07 (* end of lemma zenon_L248_ *) % 0.84/1.07 assert (zenon_L249_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H2b zenon_H50 zenon_H1df zenon_H135 zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H180 zenon_Hc zenon_Hb. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.07 apply (zenon_L6_); trivial. % 0.84/1.07 apply (zenon_L236_); trivial. % 0.84/1.07 (* end of lemma zenon_L249_ *) % 0.84/1.07 assert (zenon_L250_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26)))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (c3_1 (a1214)) -> (c0_1 (a1214)) -> (c1_1 (a1214)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.84/1.07 do 0 intro. intros zenon_Ha9 zenon_H10 zenon_H94 zenon_H93 zenon_H92 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H127 zenon_H1c zenon_H1b zenon_H179 zenon_H177 zenon_H178 zenon_Hf zenon_H3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.84/1.07 apply (zenon_L178_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.84/1.07 apply (zenon_L38_); trivial. % 0.84/1.07 apply (zenon_L233_); trivial. % 0.84/1.07 (* end of lemma zenon_L250_ *) % 0.84/1.07 assert (zenon_L251_ : ((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (c0_1 (a1267)) -> (~(c2_1 (a1267))) -> (~(c1_1 (a1267))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1db zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1ea zenon_H16b zenon_H164 zenon_H163 zenon_H13e zenon_H13d zenon_H13c zenon_H172. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.07 apply (zenon_L218_); trivial. % 0.84/1.07 apply (zenon_L246_); trivial. % 0.84/1.07 (* end of lemma zenon_L251_ *) % 0.84/1.07 assert (zenon_L252_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c1_1 (a1267))) -> (~(c2_1 (a1267))) -> (c0_1 (a1267)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H26 zenon_H1de zenon_H1ec zenon_H172 zenon_H13c zenon_H13d zenon_H13e zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H93 zenon_H94 zenon_H92 zenon_H180. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.84/1.07 apply (zenon_L161_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.84/1.07 apply (zenon_L160_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.84/1.07 apply (zenon_L250_); trivial. % 0.84/1.07 exact (zenon_H1c8 zenon_H1c9). % 0.84/1.07 apply (zenon_L251_); trivial. % 0.84/1.07 (* end of lemma zenon_L252_ *) % 0.84/1.07 assert (zenon_L253_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H15a zenon_H2b zenon_H1de zenon_H1ec zenon_H172 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H93 zenon_H94 zenon_H92 zenon_H180 zenon_Hc zenon_Hb. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.84/1.07 apply (zenon_L6_); trivial. % 0.84/1.07 apply (zenon_L252_); trivial. % 0.84/1.07 (* end of lemma zenon_L253_ *) % 0.84/1.07 assert (zenon_L254_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (c2_1 (a1208)) -> (c1_1 (a1208)) -> (c0_1 (a1208)) -> (ndr1_0) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp27)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1ec zenon_Hce zenon_Hcd zenon_H38 zenon_H45 zenon_H44 zenon_H43 zenon_Hf zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H1c8. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.84/1.07 apply (zenon_L195_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.84/1.07 apply (zenon_L178_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.84/1.07 apply (zenon_L38_); trivial. % 0.84/1.07 apply (zenon_L20_); trivial. % 0.84/1.07 exact (zenon_H1c8 zenon_H1c9). % 0.84/1.07 (* end of lemma zenon_L254_ *) % 0.84/1.07 assert (zenon_L255_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c1_1 (a1229))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H9d zenon_Hdd zenon_Hdc zenon_H1a zenon_Hdb zenon_H94 zenon_H93 zenon_H92 zenon_Hf zenon_H9b. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H7c | zenon_intro zenon_H9e ]. % 0.84/1.07 apply (zenon_L57_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H91 | zenon_intro zenon_H9c ]. % 0.84/1.07 apply (zenon_L38_); trivial. % 0.84/1.07 exact (zenon_H9b zenon_H9c). % 0.84/1.07 (* end of lemma zenon_L255_ *) % 0.84/1.07 assert (zenon_L256_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(hskp27)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a1208)) -> (c1_1 (a1208)) -> (c2_1 (a1208)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H5b zenon_H54 zenon_H53 zenon_H52 zenon_H1c8 zenon_Ha9 zenon_H43 zenon_H44 zenon_H45 zenon_Hcd zenon_Hce zenon_H1ec zenon_H9d zenon_Hdd zenon_Hdc zenon_Hdb zenon_H94 zenon_H93 zenon_H92 zenon_Hf zenon_H9b. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.90/1.07 apply (zenon_L23_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.90/1.07 apply (zenon_L254_); trivial. % 0.90/1.07 apply (zenon_L255_); trivial. % 0.90/1.07 (* end of lemma zenon_L256_ *) % 0.90/1.07 assert (zenon_L257_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1257))) -> (~(c1_1 (a1257))) -> (c3_1 (a1257)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp25)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H50 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_H52 zenon_H53 zenon_H54 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_Ha9 zenon_Hce zenon_Hcd zenon_H9d zenon_H9b zenon_Hdd zenon_Hdc zenon_Hdb zenon_H5b zenon_H9 zenon_H34 zenon_H36. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.07 apply (zenon_L18_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.07 apply (zenon_L256_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.90/1.07 apply (zenon_L23_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.90/1.07 apply (zenon_L201_); trivial. % 0.90/1.07 apply (zenon_L255_); trivial. % 0.90/1.07 apply (zenon_L246_); trivial. % 0.90/1.07 (* end of lemma zenon_L257_ *) % 0.90/1.07 assert (zenon_L258_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H60 zenon_H159 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_H50 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_Ha9 zenon_Hce zenon_Hcd zenon_H9d zenon_H9b zenon_Hdd zenon_Hdc zenon_Hdb zenon_H5b zenon_H34 zenon_H36 zenon_H127 zenon_H3 zenon_H24 zenon_H27 zenon_H1df zenon_H2b. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.07 apply (zenon_L257_); trivial. % 0.90/1.07 apply (zenon_L236_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.07 apply (zenon_L257_); trivial. % 0.90/1.07 apply (zenon_L252_); trivial. % 0.90/1.07 (* end of lemma zenon_L258_ *) % 0.90/1.07 assert (zenon_L259_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H2b zenon_H1df zenon_H135 zenon_H27 zenon_H24 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_H180 zenon_H36 zenon_H34 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H50. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.07 apply (zenon_L43_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.07 apply (zenon_L234_); trivial. % 0.90/1.07 apply (zenon_L42_); trivial. % 0.90/1.07 (* end of lemma zenon_L259_ *) % 0.90/1.07 assert (zenon_L260_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H15a zenon_H2b zenon_H1de zenon_H1ec zenon_H172 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H180 zenon_H36 zenon_H34 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H50. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.07 apply (zenon_L43_); trivial. % 0.90/1.07 apply (zenon_L252_); trivial. % 0.90/1.07 (* end of lemma zenon_L260_ *) % 0.90/1.07 assert (zenon_L261_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hb7 zenon_H189 zenon_H159 zenon_H1ec zenon_H172 zenon_H1ea zenon_H50 zenon_H34 zenon_H36 zenon_H180 zenon_H127 zenon_H3 zenon_H24 zenon_H27 zenon_H1df zenon_H2b zenon_H1cc zenon_H1ca zenon_H92 zenon_H93 zenon_H94 zenon_H217 zenon_H1f1 zenon_H211 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H1de. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.07 apply (zenon_L242_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.07 apply (zenon_L259_); trivial. % 0.90/1.07 apply (zenon_L260_); trivial. % 0.90/1.07 (* end of lemma zenon_L261_ *) % 0.90/1.07 assert (zenon_L262_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hef zenon_Hb4 zenon_H1f1 zenon_H211 zenon_H159 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_Hce zenon_Hcd zenon_H24 zenon_H1c6 zenon_H1ca zenon_H1cc zenon_H139 zenon_H1ec zenon_H1ea zenon_Hb zenon_Ha9 zenon_H127 zenon_H3 zenon_H92 zenon_H94 zenon_H93 zenon_H27 zenon_H1df zenon_H50 zenon_H2b zenon_H36 zenon_H34 zenon_H5b zenon_H9d zenon_H64 zenon_H189. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.07 apply (zenon_L248_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.07 apply (zenon_L249_); trivial. % 0.90/1.07 apply (zenon_L253_); trivial. % 0.90/1.07 apply (zenon_L258_); trivial. % 0.90/1.07 apply (zenon_L261_); trivial. % 0.90/1.07 (* end of lemma zenon_L262_ *) % 0.90/1.07 assert (zenon_L263_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> (ndr1_0) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> False). % 0.90/1.08 do 0 intro. intros zenon_Hf2 zenon_Hb4 zenon_H1f1 zenon_H211 zenon_H159 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_H24 zenon_H1c6 zenon_H1ca zenon_H1cc zenon_H139 zenon_H1ec zenon_H1ea zenon_Hb zenon_Ha9 zenon_H127 zenon_H3 zenon_H92 zenon_H94 zenon_H93 zenon_H27 zenon_H1df zenon_H50 zenon_H2b zenon_H36 zenon_H34 zenon_H5b zenon_H9d zenon_H64 zenon_H189 zenon_Hf zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd7 zenon_Hd9. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.08 apply (zenon_L56_); trivial. % 0.90/1.08 apply (zenon_L262_); trivial. % 0.90/1.08 (* end of lemma zenon_L263_ *) % 0.90/1.08 assert (zenon_L264_ : ((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c3_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c0_1 (a1261))) -> (~(hskp6)) -> (c0_1 (a1204)) -> (c2_1 (a1204)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp27)) -> False). % 0.90/1.08 do 0 intro. intros zenon_H182 zenon_H1ec zenon_H19e zenon_H19d zenon_H19c zenon_H3 zenon_H1b zenon_H1c zenon_H127 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H1c8. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.08 apply (zenon_L120_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.08 apply (zenon_L250_); trivial. % 0.90/1.08 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.08 (* end of lemma zenon_L264_ *) % 0.90/1.08 assert (zenon_L265_ : ((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(c0_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c3_1 (a1261))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1db zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H19c zenon_H19d zenon_H19e zenon_H172. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.08 apply (zenon_L121_); trivial. % 0.90/1.08 apply (zenon_L246_); trivial. % 0.90/1.08 (* end of lemma zenon_L265_ *) % 0.90/1.08 assert (zenon_L266_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(hskp26)) -> (~(c0_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c3_1 (a1261))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1de zenon_H172 zenon_H1df zenon_H135 zenon_H32 zenon_H19c zenon_H19d zenon_H19e zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H1c zenon_H1b zenon_H217 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H180. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.08 apply (zenon_L154_); trivial. % 0.90/1.08 apply (zenon_L264_); trivial. % 0.90/1.08 apply (zenon_L265_); trivial. % 0.90/1.08 (* end of lemma zenon_L266_ *) % 0.90/1.08 assert (zenon_L267_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c0_1 (a1261))) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H26 zenon_H50 zenon_H24 zenon_H27 zenon_H180 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H19e zenon_H19d zenon_H19c zenon_H135 zenon_H1df zenon_H172 zenon_H1de. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.08 apply (zenon_L266_); trivial. % 0.90/1.08 apply (zenon_L235_); trivial. % 0.90/1.08 (* end of lemma zenon_L267_ *) % 0.90/1.08 assert (zenon_L268_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c0_1 (a1261))) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.90/1.08 do 0 intro. intros zenon_H2b zenon_H50 zenon_H24 zenon_H27 zenon_H180 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H19e zenon_H19d zenon_H19c zenon_H135 zenon_H1df zenon_H172 zenon_H1de zenon_Hc zenon_Hb. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L6_); trivial. % 0.90/1.08 apply (zenon_L267_); trivial. % 0.90/1.08 (* end of lemma zenon_L268_ *) % 0.90/1.08 assert (zenon_L269_ : ((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> (~(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1a5 zenon_H159 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_Hb zenon_Hc zenon_H1de zenon_H172 zenon_H1df zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H180 zenon_H27 zenon_H24 zenon_H50 zenon_H2b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.08 apply (zenon_L268_); trivial. % 0.90/1.08 apply (zenon_L253_); trivial. % 0.90/1.08 (* end of lemma zenon_L269_ *) % 0.90/1.08 assert (zenon_L270_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> (~(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp16)) -> (~(hskp20)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1a8 zenon_H159 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_Hb zenon_Hc zenon_H1de zenon_H172 zenon_H1df zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H180 zenon_H27 zenon_H24 zenon_H50 zenon_H2b zenon_H103 zenon_H196 zenon_H19a. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.08 apply (zenon_L119_); trivial. % 0.90/1.08 apply (zenon_L269_); trivial. % 0.90/1.08 (* end of lemma zenon_L270_ *) % 0.90/1.08 assert (zenon_L271_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c0_1 (a1261))) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> (~(hskp22)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H2b zenon_H24 zenon_H27 zenon_H180 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H19e zenon_H19d zenon_H19c zenon_H135 zenon_H1df zenon_H172 zenon_H1de zenon_H36 zenon_H34 zenon_Hd5 zenon_H2c zenon_H112 zenon_H50. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L75_); trivial. % 0.90/1.08 apply (zenon_L267_); trivial. % 0.90/1.08 (* end of lemma zenon_L271_ *) % 0.90/1.08 assert (zenon_L272_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> (~(hskp22)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H15a zenon_H2b zenon_H1de zenon_H1ec zenon_H172 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H93 zenon_H94 zenon_H92 zenon_H180 zenon_H36 zenon_H34 zenon_Hd5 zenon_H2c zenon_H112 zenon_H50. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L75_); trivial. % 0.90/1.08 apply (zenon_L252_); trivial. % 0.90/1.08 (* end of lemma zenon_L272_ *) % 0.90/1.08 assert (zenon_L273_ : ((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp22)) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1a5 zenon_H159 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_H50 zenon_H112 zenon_H2c zenon_Hd5 zenon_H34 zenon_H36 zenon_H1de zenon_H172 zenon_H1df zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H180 zenon_H27 zenon_H24 zenon_H2b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.08 apply (zenon_L271_); trivial. % 0.90/1.08 apply (zenon_L272_); trivial. % 0.90/1.08 (* end of lemma zenon_L273_ *) % 0.90/1.08 assert (zenon_L274_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (c3_1 (a1214)) -> (c1_1 (a1214)) -> (c0_1 (a1214)) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1250))) -> (c3_1 (a1250)) -> (c2_1 (a1250)) -> False). % 0.90/1.08 do 0 intro. intros zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H179 zenon_H178 zenon_H177 zenon_Hf zenon_H51 zenon_H1aa zenon_H1ab zenon_H1ac. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H65 | zenon_intro zenon_H218 ]. % 0.90/1.08 apply (zenon_L228_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1d0 ]. % 0.90/1.08 apply (zenon_L109_); trivial. % 0.90/1.08 apply (zenon_L180_); trivial. % 0.90/1.08 (* end of lemma zenon_L274_ *) % 0.90/1.08 assert (zenon_L275_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> (~(c0_1 (a1250))) -> (c3_1 (a1250)) -> (c2_1 (a1250)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp26)) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H180 zenon_H1f3 zenon_H1f1 zenon_H228 zenon_H229 zenon_H22a zenon_H1aa zenon_H1ab zenon_H1ac zenon_H217 zenon_H32 zenon_H135 zenon_H1df. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.08 apply (zenon_L154_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H51 | zenon_intro zenon_H1f4 ]. % 0.90/1.08 apply (zenon_L274_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1f2 ]. % 0.90/1.08 apply (zenon_L164_); trivial. % 0.90/1.08 exact (zenon_H1f1 zenon_H1f2). % 0.90/1.08 (* end of lemma zenon_L275_ *) % 0.90/1.08 assert (zenon_L276_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1250)) -> (c3_1 (a1250)) -> (~(c0_1 (a1250))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.90/1.08 do 0 intro. intros zenon_H2b zenon_H50 zenon_Ha9 zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H1df zenon_H135 zenon_H217 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H22a zenon_H229 zenon_H228 zenon_H1f1 zenon_H1f3 zenon_H180 zenon_Hc zenon_Hb. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L6_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.08 apply (zenon_L275_); trivial. % 0.90/1.08 apply (zenon_L235_); trivial. % 0.90/1.08 (* end of lemma zenon_L276_ *) % 0.90/1.08 assert (zenon_L277_ : ((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp25)\/(hskp21)) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1b8 zenon_H64 zenon_H2b zenon_H50 zenon_Ha9 zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H1df zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1f1 zenon_H1f3 zenon_H180 zenon_Hb zenon_H3 zenon_H127 zenon_H1ea zenon_H16b zenon_H164 zenon_H163 zenon_H172 zenon_H1ec zenon_H1de zenon_H159. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.08 apply (zenon_L276_); trivial. % 0.90/1.08 apply (zenon_L253_); trivial. % 0.90/1.08 apply (zenon_L166_); trivial. % 0.90/1.08 (* end of lemma zenon_L277_ *) % 0.90/1.08 assert (zenon_L278_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp16)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H189 zenon_H1bd zenon_H1f1 zenon_H1f3 zenon_H1a8 zenon_H1ea zenon_Hb zenon_H1df zenon_Ha9 zenon_H127 zenon_H3 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H27 zenon_H50 zenon_H2b zenon_H103 zenon_H19a zenon_H112 zenon_Hd5 zenon_H34 zenon_H36 zenon_H4d zenon_H5b zenon_H61 zenon_H64 zenon_H139 zenon_H9b zenon_H1cc zenon_H1ca zenon_H1c6 zenon_H24 zenon_Hcd zenon_Hce zenon_H172 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H159. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.08 apply (zenon_L248_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.08 apply (zenon_L270_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.08 apply (zenon_L119_); trivial. % 0.90/1.08 apply (zenon_L273_); trivial. % 0.90/1.08 apply (zenon_L25_); trivial. % 0.90/1.08 apply (zenon_L277_); trivial. % 0.90/1.08 (* end of lemma zenon_L278_ *) % 0.90/1.08 assert (zenon_L279_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((hskp25)\/(hskp21)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H186 zenon_H64 zenon_H15f zenon_H15d zenon_H109 zenon_H10a zenon_H10b zenon_H9b zenon_H9d zenon_H159 zenon_H1de zenon_H1ec zenon_H172 zenon_H1ea zenon_H36 zenon_H34 zenon_Hd5 zenon_H112 zenon_Hb zenon_H180 zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H1df zenon_H50 zenon_H2b zenon_H4d zenon_H1c6 zenon_H61. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.08 apply (zenon_L249_); trivial. % 0.90/1.08 apply (zenon_L272_); trivial. % 0.90/1.08 apply (zenon_L238_); trivial. % 0.90/1.08 apply (zenon_L170_); trivial. % 0.90/1.08 (* end of lemma zenon_L279_ *) % 0.90/1.08 assert (zenon_L280_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((hskp25)\/(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H11b zenon_H189 zenon_H64 zenon_H15f zenon_H15d zenon_H9d zenon_H1ec zenon_H1ea zenon_H36 zenon_H34 zenon_Hd5 zenon_H112 zenon_Hb zenon_Ha9 zenon_H127 zenon_H3 zenon_H92 zenon_H94 zenon_H93 zenon_H27 zenon_H1df zenon_H50 zenon_H2b zenon_H4d zenon_H61 zenon_H139 zenon_H9b zenon_H1cc zenon_H1ca zenon_H1c6 zenon_H24 zenon_Hcd zenon_Hce zenon_H172 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H159. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.08 apply (zenon_L248_); trivial. % 0.90/1.08 apply (zenon_L279_); trivial. % 0.90/1.08 (* end of lemma zenon_L280_ *) % 0.90/1.08 assert (zenon_L281_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.08 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H2b zenon_H89 zenon_H8c zenon_H36 zenon_H34 zenon_Ha9 zenon_H50 zenon_H9d zenon_H228 zenon_H229 zenon_H22a zenon_H7b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.08 apply (zenon_L229_); trivial. % 0.90/1.08 apply (zenon_L48_); trivial. % 0.90/1.08 (* end of lemma zenon_L281_ *) % 0.90/1.08 assert (zenon_L282_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a1224))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.90/1.08 do 0 intro. intros zenon_Hc6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H93 zenon_H94 zenon_H9f zenon_H92 zenon_Hf zenon_H34. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc9 ]. % 0.90/1.08 apply (zenon_L50_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H10 | zenon_intro zenon_H35 ]. % 0.90/1.08 apply (zenon_L178_); trivial. % 0.90/1.08 exact (zenon_H34 zenon_H35). % 0.90/1.08 (* end of lemma zenon_L282_ *) % 0.90/1.08 assert (zenon_L283_ : ((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp1)) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H4c zenon_Ha9 zenon_H34 zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hc6 zenon_H94 zenon_H93 zenon_H92. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.08 apply (zenon_L282_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.08 apply (zenon_L38_); trivial. % 0.90/1.08 apply (zenon_L20_); trivial. % 0.90/1.08 (* end of lemma zenon_L283_ *) % 0.90/1.08 assert (zenon_L284_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp25)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H50 zenon_Ha9 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H92 zenon_H94 zenon_H93 zenon_Hc6 zenon_H9 zenon_H34 zenon_H36. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.08 apply (zenon_L18_); trivial. % 0.90/1.08 apply (zenon_L283_); trivial. % 0.90/1.08 (* end of lemma zenon_L284_ *) % 0.90/1.08 assert (zenon_L285_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c0_1 (a1261))) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H2b zenon_H180 zenon_H1ec zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_H19e zenon_H19d zenon_H19c zenon_H135 zenon_H1df zenon_H172 zenon_H1de zenon_H36 zenon_H34 zenon_Hc6 zenon_H93 zenon_H94 zenon_H92 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Ha9 zenon_H50. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L284_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.08 apply (zenon_L266_); trivial. % 0.90/1.08 apply (zenon_L283_); trivial. % 0.90/1.08 (* end of lemma zenon_L285_ *) % 0.90/1.08 assert (zenon_L286_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H15a zenon_H2b zenon_H1de zenon_H1ec zenon_H172 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H180 zenon_H36 zenon_H34 zenon_Hc6 zenon_H93 zenon_H94 zenon_H92 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Ha9 zenon_H50. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L284_); trivial. % 0.90/1.08 apply (zenon_L252_); trivial. % 0.90/1.08 (* end of lemma zenon_L286_ *) % 0.90/1.08 assert (zenon_L287_ : ((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1a5 zenon_H159 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_H50 zenon_Ha9 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H92 zenon_H94 zenon_H93 zenon_Hc6 zenon_H34 zenon_H36 zenon_H1de zenon_H172 zenon_H1df zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H1ec zenon_H180 zenon_H2b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.08 apply (zenon_L285_); trivial. % 0.90/1.08 apply (zenon_L286_); trivial. % 0.90/1.08 (* end of lemma zenon_L287_ *) % 0.90/1.08 assert (zenon_L288_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp16)) -> (~(hskp20)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1a8 zenon_H159 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_H50 zenon_Ha9 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H92 zenon_H94 zenon_H93 zenon_Hc6 zenon_H34 zenon_H36 zenon_H1de zenon_H172 zenon_H1df zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H1ec zenon_H180 zenon_H2b zenon_H103 zenon_H196 zenon_H19a. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.08 apply (zenon_L119_); trivial. % 0.90/1.08 apply (zenon_L287_); trivial. % 0.90/1.08 (* end of lemma zenon_L288_ *) % 0.90/1.08 assert (zenon_L289_ : ((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1b8 zenon_H64 zenon_H2b zenon_H50 zenon_H1df zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H180 zenon_Hb zenon_H172 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_H1f3 zenon_H159. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.08 apply (zenon_L249_); trivial. % 0.90/1.08 apply (zenon_L219_); trivial. % 0.90/1.08 apply (zenon_L166_); trivial. % 0.90/1.08 (* end of lemma zenon_L289_ *) % 0.90/1.08 assert (zenon_L290_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp25)\/(hskp21)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H189 zenon_H1bd zenon_H64 zenon_H27 zenon_Hb zenon_H1f1 zenon_H211 zenon_H1f3 zenon_H19a zenon_H103 zenon_H2b zenon_H1ec zenon_H3 zenon_H127 zenon_H1df zenon_H36 zenon_H34 zenon_Hc6 zenon_H93 zenon_H94 zenon_H92 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Ha9 zenon_H50 zenon_H1ea zenon_H1a8 zenon_H139 zenon_H9b zenon_H1cc zenon_H1ca zenon_H1c6 zenon_H24 zenon_Hcd zenon_Hce zenon_H172 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H159. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.08 apply (zenon_L248_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.08 apply (zenon_L288_); trivial. % 0.90/1.08 apply (zenon_L289_); trivial. % 0.90/1.08 (* end of lemma zenon_L290_ *) % 0.90/1.08 assert (zenon_L291_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp19)) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H2b zenon_H1de zenon_H228 zenon_H229 zenon_H22a zenon_H211 zenon_H1f1 zenon_H217 zenon_H24 zenon_H27 zenon_H137 zenon_H1ca zenon_H1cc zenon_H36 zenon_H34 zenon_Hc6 zenon_H93 zenon_H94 zenon_H92 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Ha9 zenon_H50. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L284_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.08 apply (zenon_L148_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.08 apply (zenon_L179_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.08 apply (zenon_L38_); trivial. % 0.90/1.08 apply (zenon_L240_); trivial. % 0.90/1.08 (* end of lemma zenon_L291_ *) % 0.90/1.08 assert (zenon_L292_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(hskp26)) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H180 zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H1c zenon_H1b zenon_H217 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H32 zenon_H135 zenon_H1df. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.08 apply (zenon_L154_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.08 apply (zenon_L41_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.08 apply (zenon_L38_); trivial. % 0.90/1.08 apply (zenon_L233_); trivial. % 0.90/1.08 (* end of lemma zenon_L292_ *) % 0.90/1.08 assert (zenon_L293_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1259))) -> (~(c3_1 (a1259))) -> (c0_1 (a1259)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H15a zenon_H2b zenon_H1de zenon_H1ec zenon_H172 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H93 zenon_H94 zenon_H92 zenon_H180 zenon_H36 zenon_H34 zenon_H39 zenon_H3a zenon_H3b zenon_H4d zenon_H50. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L22_); trivial. % 0.90/1.08 apply (zenon_L252_); trivial. % 0.90/1.08 (* end of lemma zenon_L293_ *) % 0.90/1.08 assert (zenon_L294_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H5d zenon_H159 zenon_H1de zenon_H1ec zenon_H172 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_H50 zenon_H4d zenon_H34 zenon_H36 zenon_H180 zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H1df zenon_H2b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L22_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.08 apply (zenon_L292_); trivial. % 0.90/1.08 apply (zenon_L21_); trivial. % 0.90/1.08 apply (zenon_L293_); trivial. % 0.90/1.08 (* end of lemma zenon_L294_ *) % 0.90/1.08 assert (zenon_L295_ : ((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(hskp27)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c0_1 (a1204)) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> False). % 0.90/1.08 do 0 intro. intros zenon_H182 zenon_H5b zenon_H54 zenon_H53 zenon_H52 zenon_H1c8 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H127 zenon_H3 zenon_Hcd zenon_Hce zenon_H1ec zenon_H1b zenon_H1c zenon_H1d. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.90/1.08 apply (zenon_L23_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.08 apply (zenon_L195_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.08 apply (zenon_L250_); trivial. % 0.90/1.08 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.08 apply (zenon_L9_); trivial. % 0.90/1.08 (* end of lemma zenon_L295_ *) % 0.90/1.08 assert (zenon_L296_ : ((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(hskp26)) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1db zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H32 zenon_H135 zenon_H1df. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.08 apply (zenon_L154_); trivial. % 0.90/1.08 apply (zenon_L246_); trivial. % 0.90/1.08 (* end of lemma zenon_L296_ *) % 0.90/1.08 assert (zenon_L297_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H26 zenon_H50 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H180 zenon_H5b zenon_Hcd zenon_Hce zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H54 zenon_H53 zenon_H52 zenon_H135 zenon_H1df zenon_H1de. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.08 apply (zenon_L154_); trivial. % 0.90/1.08 apply (zenon_L295_); trivial. % 0.90/1.08 apply (zenon_L296_); trivial. % 0.90/1.08 apply (zenon_L42_); trivial. % 0.90/1.08 (* end of lemma zenon_L297_ *) % 0.90/1.08 assert (zenon_L298_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c0_1 (a1257))) -> (~(c1_1 (a1257))) -> (c3_1 (a1257)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H15a zenon_H2b zenon_H1de zenon_H211 zenon_H1f1 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H1ec zenon_H172 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_H52 zenon_H53 zenon_H54 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Hce zenon_Hcd zenon_H5b zenon_H180 zenon_H36 zenon_H34 zenon_Hc6 zenon_H93 zenon_H94 zenon_H92 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Ha9 zenon_H50. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L284_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.08 apply (zenon_L161_); trivial. % 0.90/1.08 apply (zenon_L295_); trivial. % 0.90/1.08 apply (zenon_L214_); trivial. % 0.90/1.08 (* end of lemma zenon_L298_ *) % 0.90/1.08 assert (zenon_L299_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/(hskp21)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_Hb7 zenon_H189 zenon_H64 zenon_H15f zenon_H15d zenon_H5b zenon_Hcd zenon_Hce zenon_Hc6 zenon_H159 zenon_H1ec zenon_H172 zenon_H1ea zenon_H36 zenon_H34 zenon_Hb zenon_H180 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H1df zenon_Hd5 zenon_H112 zenon_H50 zenon_H2b zenon_H4d zenon_H61 zenon_H1cc zenon_H1ca zenon_H92 zenon_H93 zenon_H94 zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_Ha9 zenon_H1de. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.08 apply (zenon_L215_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L6_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.08 apply (zenon_L292_); trivial. % 0.90/1.08 apply (zenon_L74_); trivial. % 0.90/1.08 apply (zenon_L272_); trivial. % 0.90/1.08 apply (zenon_L294_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L75_); trivial. % 0.90/1.08 apply (zenon_L297_); trivial. % 0.90/1.08 apply (zenon_L298_); trivial. % 0.90/1.08 apply (zenon_L102_); trivial. % 0.90/1.08 (* end of lemma zenon_L299_ *) % 0.90/1.08 assert (zenon_L300_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.08 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H189 zenon_H64 zenon_Hce zenon_Hcd zenon_H5b zenon_H2b zenon_H1df zenon_H3 zenon_H127 zenon_H180 zenon_H36 zenon_H34 zenon_Hc6 zenon_H50 zenon_Hb zenon_H1ea zenon_H172 zenon_H1ec zenon_H159 zenon_H1cc zenon_H1ca zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_Ha9 zenon_H1de zenon_H9d zenon_H228 zenon_H229 zenon_H22a zenon_H7b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.08 apply (zenon_L229_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.08 apply (zenon_L40_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.08 apply (zenon_L215_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L284_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.08 apply (zenon_L292_); trivial. % 0.90/1.08 apply (zenon_L42_); trivial. % 0.90/1.08 apply (zenon_L253_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L43_); trivial. % 0.90/1.08 apply (zenon_L297_); trivial. % 0.90/1.08 apply (zenon_L298_); trivial. % 0.90/1.08 (* end of lemma zenon_L300_ *) % 0.90/1.08 assert (zenon_L301_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H186 zenon_H2b zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H27 zenon_H24 zenon_H172 zenon_H36 zenon_H34 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H50. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.08 apply (zenon_L43_); trivial. % 0.90/1.08 apply (zenon_L110_); trivial. % 0.90/1.08 (* end of lemma zenon_L301_ *) % 0.90/1.08 assert (zenon_L302_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_Hb7 zenon_H189 zenon_H2b zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H27 zenon_H24 zenon_H172 zenon_H36 zenon_H34 zenon_H50 zenon_H1cc zenon_H1ca zenon_H92 zenon_H93 zenon_H94 zenon_H217 zenon_H1f1 zenon_H211 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H1de. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.08 apply (zenon_L242_); trivial. % 0.90/1.08 apply (zenon_L301_); trivial. % 0.90/1.08 (* end of lemma zenon_L302_ *) % 0.90/1.08 assert (zenon_L303_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.08 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H189 zenon_H159 zenon_H1ec zenon_H172 zenon_H1ea zenon_H180 zenon_H1e1 zenon_H2e zenon_H1df zenon_H50 zenon_H1cc zenon_H1ca zenon_H1da zenon_H150 zenon_H148 zenon_H147 zenon_Ha9 zenon_H1de zenon_H9d zenon_H228 zenon_H229 zenon_H22a zenon_H7b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.08 apply (zenon_L229_); trivial. % 0.90/1.08 apply (zenon_L193_); trivial. % 0.90/1.08 (* end of lemma zenon_L303_ *) % 0.90/1.08 assert (zenon_L304_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp25)\/(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp16)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H189 zenon_H1bd zenon_H64 zenon_H1f3 zenon_H1f1 zenon_Hb zenon_H27 zenon_H2b zenon_H19a zenon_H103 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H1a8 zenon_H139 zenon_H9b zenon_H1cc zenon_H1ca zenon_H1c6 zenon_H24 zenon_Hcd zenon_Hce zenon_H172 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H159. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.08 apply (zenon_L248_); trivial. % 0.90/1.08 apply (zenon_L167_); trivial. % 0.90/1.08 (* end of lemma zenon_L304_ *) % 0.90/1.08 assert (zenon_L305_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp25)\/(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.08 do 0 intro. intros zenon_Hba zenon_Hb4 zenon_H36 zenon_H34 zenon_H50 zenon_H211 zenon_Ha9 zenon_H189 zenon_H1bd zenon_H64 zenon_H1f3 zenon_H1f1 zenon_Hb zenon_H27 zenon_H2b zenon_H19a zenon_H181 zenon_H1a8 zenon_H139 zenon_H1cc zenon_H1ca zenon_H1c6 zenon_H24 zenon_Hcd zenon_Hce zenon_H172 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H159 zenon_H15f zenon_H15d zenon_H222 zenon_H4d zenon_H11e zenon_H192 zenon_H150 zenon_H148 zenon_H147 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hf zenon_H7b. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.08 apply (zenon_L177_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.08 apply (zenon_L304_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.08 apply (zenon_L248_); trivial. % 0.90/1.08 apply (zenon_L212_); trivial. % 0.90/1.08 apply (zenon_L302_); trivial. % 0.90/1.08 (* end of lemma zenon_L305_ *) % 0.90/1.08 assert (zenon_L306_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H11b zenon_H189 zenon_H159 zenon_H1da zenon_H1ec zenon_H172 zenon_H1ea zenon_H180 zenon_H4d zenon_H150 zenon_H148 zenon_H147 zenon_Hce zenon_Hcd zenon_H181 zenon_H222 zenon_H1df zenon_H50 zenon_H1cc zenon_H1ca zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_H217 zenon_H1f1 zenon_H211 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H1de. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.08 apply (zenon_L242_); trivial. % 0.90/1.08 apply (zenon_L225_); trivial. % 0.90/1.08 (* end of lemma zenon_L306_ *) % 0.90/1.08 assert (zenon_L307_ : ((~(hskp6))\/((ndr1_0)/\((c1_1 (a1215))/\((c2_1 (a1215))/\(~(c3_1 (a1215))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (ndr1_0) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((hskp25)\/(hskp21)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1216)))/\((~(c2_1 (a1216)))/\(~(c3_1 (a1216))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H23c zenon_H222 zenon_H155 zenon_H157 zenon_H181 zenon_H1da zenon_H192 zenon_H134 zenon_Hb4 zenon_H189 zenon_H1ea zenon_H172 zenon_H1e1 zenon_H1cc zenon_H1ca zenon_H1f1 zenon_H211 zenon_H1de zenon_H9d zenon_H7b zenon_H22a zenon_H229 zenon_H228 zenon_Hf zenon_H30 zenon_H2b zenon_H1df zenon_H27 zenon_H217 zenon_H127 zenon_Ha9 zenon_H180 zenon_H36 zenon_H34 zenon_H4d zenon_H50 zenon_H1c6 zenon_H159 zenon_H61 zenon_Hba zenon_H8c zenon_Hf2 zenon_H139 zenon_H1ec zenon_Hb zenon_H5b zenon_H64 zenon_Hd9 zenon_H1bd zenon_H1f3 zenon_H1a8 zenon_H19a zenon_H112 zenon_H15d zenon_H15f zenon_H11e zenon_H12c zenon_Hc6 zenon_H133 zenon_H224. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.08 apply (zenon_L239_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.08 apply (zenon_L229_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.08 apply (zenon_L40_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.08 apply (zenon_L242_); trivial. % 0.90/1.08 apply (zenon_L245_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.08 apply (zenon_L229_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.08 apply (zenon_L263_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.08 apply (zenon_L278_); trivial. % 0.90/1.08 apply (zenon_L280_); trivial. % 0.90/1.08 apply (zenon_L261_); trivial. % 0.90/1.08 apply (zenon_L85_); trivial. % 0.90/1.08 apply (zenon_L281_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.08 apply (zenon_L229_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.08 apply (zenon_L290_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.08 apply (zenon_L291_); trivial. % 0.90/1.08 apply (zenon_L279_); trivial. % 0.90/1.08 apply (zenon_L299_); trivial. % 0.90/1.08 apply (zenon_L262_); trivial. % 0.90/1.08 apply (zenon_L300_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.08 apply (zenon_L229_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.08 apply (zenon_L114_); trivial. % 0.90/1.08 apply (zenon_L302_); trivial. % 0.90/1.08 apply (zenon_L174_); trivial. % 0.90/1.08 apply (zenon_L281_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.08 apply (zenon_L177_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.08 apply (zenon_L291_); trivial. % 0.90/1.08 apply (zenon_L167_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.09 apply (zenon_L291_); trivial. % 0.90/1.09 apply (zenon_L171_); trivial. % 0.90/1.09 apply (zenon_L302_); trivial. % 0.90/1.09 apply (zenon_L303_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.09 apply (zenon_L205_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.09 apply (zenon_L305_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.09 apply (zenon_L177_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.09 apply (zenon_L40_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.09 apply (zenon_L221_); trivial. % 0.90/1.09 apply (zenon_L306_); trivial. % 0.90/1.09 (* end of lemma zenon_L307_ *) % 0.90/1.09 assert (zenon_L308_ : ((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp6)) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_Hc5 zenon_H64 zenon_H61 zenon_H5b zenon_H36 zenon_H34 zenon_H4d zenon_H50 zenon_H3 zenon_H2e zenon_H30 zenon_Hb zenon_H24 zenon_H27 zenon_H2b. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.09 apply (zenon_L27_); trivial. % 0.90/1.09 (* end of lemma zenon_L308_ *) % 0.90/1.09 assert (zenon_L309_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 0.90/1.09 do 0 intro. intros zenon_Hca zenon_H64 zenon_H61 zenon_H5b zenon_H36 zenon_H34 zenon_H4d zenon_H50 zenon_H2e zenon_H30 zenon_Hb zenon_H24 zenon_H27 zenon_H2b zenon_H3 zenon_H5 zenon_H7. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.09 apply (zenon_L4_); trivial. % 0.90/1.09 apply (zenon_L308_); trivial. % 0.90/1.09 (* end of lemma zenon_L309_ *) % 0.90/1.09 assert (zenon_L310_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((hskp15)\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp25)\/(hskp21)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H134 zenon_Hba zenon_Hb4 zenon_Ha9 zenon_H9d zenon_H7b zenon_H77 zenon_H89 zenon_H8c zenon_H90 zenon_H7 zenon_H5 zenon_H3 zenon_H2b zenon_H27 zenon_Hb zenon_H30 zenon_H2e zenon_H50 zenon_H4d zenon_H34 zenon_H36 zenon_H5b zenon_H61 zenon_H64 zenon_Hca. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.09 apply (zenon_L309_); trivial. % 0.90/1.09 apply (zenon_L89_); trivial. % 0.90/1.09 (* end of lemma zenon_L310_ *) % 0.90/1.09 assert (zenon_L311_ : ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1216)))/\((~(c2_1 (a1216)))/\(~(c3_1 (a1216))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp1)\/(hskp16))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((hskp15)\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp25)\/(hskp21)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H224 zenon_H12c zenon_H127 zenon_H107 zenon_H105 zenon_H112 zenon_H11e zenon_Hd9 zenon_Hf2 zenon_H134 zenon_Hba zenon_Hb4 zenon_Ha9 zenon_H9d zenon_H7b zenon_H77 zenon_H8c zenon_H90 zenon_H7 zenon_H5 zenon_H3 zenon_H2b zenon_H27 zenon_Hb zenon_H30 zenon_H50 zenon_H4d zenon_H34 zenon_H36 zenon_H5b zenon_H61 zenon_H64 zenon_Hca zenon_Hc6 zenon_H133. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.09 apply (zenon_L310_); trivial. % 0.90/1.09 apply (zenon_L90_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.09 apply (zenon_L91_); trivial. % 0.90/1.09 (* end of lemma zenon_L311_ *) % 0.90/1.09 assert (zenon_L312_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp9)) -> (~(c1_1 (a1237))) -> (c0_1 (a1237)) -> (c3_1 (a1237)) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp10)) -> False). % 0.90/1.09 do 0 intro. intros zenon_H15a zenon_H1c6 zenon_H89 zenon_H80 zenon_H81 zenon_H82 zenon_H109 zenon_H10a zenon_H10b zenon_H8c zenon_H24. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H13b | zenon_intro zenon_H1c7 ]. % 0.90/1.09 apply (zenon_L95_); trivial. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H38 | zenon_intro zenon_H25 ]. % 0.90/1.09 apply (zenon_L77_); trivial. % 0.90/1.09 exact (zenon_H24 zenon_H25). % 0.90/1.09 (* end of lemma zenon_L312_ *) % 0.90/1.09 assert (zenon_L313_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> (~(c1_1 (a1237))) -> (c0_1 (a1237)) -> (c3_1 (a1237)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp19)) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H159 zenon_H1c6 zenon_H24 zenon_H109 zenon_H10a zenon_H10b zenon_H80 zenon_H81 zenon_H82 zenon_H89 zenon_H8c zenon_H137 zenon_H9b zenon_H139. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.09 apply (zenon_L94_); trivial. % 0.90/1.09 apply (zenon_L312_); trivial. % 0.90/1.09 (* end of lemma zenon_L313_ *) % 0.90/1.09 assert (zenon_L314_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32)))))) -> (ndr1_0) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> False). % 0.90/1.09 do 0 intro. intros zenon_H240 zenon_Hf zenon_H241 zenon_H242 zenon_H243. % 0.90/1.09 generalize (zenon_H240 (a1211)). zenon_intro zenon_H244. % 0.90/1.09 apply (zenon_imply_s _ _ zenon_H244); [ zenon_intro zenon_He | zenon_intro zenon_H245 ]. % 0.90/1.09 exact (zenon_He zenon_Hf). % 0.90/1.09 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H247 | zenon_intro zenon_H246 ]. % 0.90/1.09 exact (zenon_H241 zenon_H247). % 0.90/1.09 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H249 | zenon_intro zenon_H248 ]. % 0.90/1.09 exact (zenon_H242 zenon_H249). % 0.90/1.09 exact (zenon_H248 zenon_H243). % 0.90/1.09 (* end of lemma zenon_L314_ *) % 0.90/1.09 assert (zenon_L315_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.90/1.09 do 0 intro. intros zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_H10b zenon_H10a zenon_H109 zenon_Hf zenon_H9. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H240 | zenon_intro zenon_H24b ]. % 0.90/1.09 apply (zenon_L314_); trivial. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H66 | zenon_intro zenon_Ha ]. % 0.90/1.09 apply (zenon_L72_); trivial. % 0.90/1.09 exact (zenon_H9 zenon_Ha). % 0.90/1.09 (* end of lemma zenon_L315_ *) % 0.90/1.09 assert (zenon_L316_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H186 zenon_H2b zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H27 zenon_H24 zenon_H172 zenon_H241 zenon_H242 zenon_H243 zenon_H109 zenon_H10a zenon_H10b zenon_H24a. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.09 apply (zenon_L315_); trivial. % 0.90/1.09 apply (zenon_L110_); trivial. % 0.90/1.09 (* end of lemma zenon_L316_ *) % 0.90/1.09 assert (zenon_L317_ : ((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H8b zenon_H189 zenon_H2b zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H27 zenon_H172 zenon_H241 zenon_H242 zenon_H243 zenon_H24a zenon_H139 zenon_H9b zenon_H8c zenon_H89 zenon_H10b zenon_H10a zenon_H109 zenon_H24 zenon_H1c6 zenon_H159. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.09 apply (zenon_L313_); trivial. % 0.90/1.09 apply (zenon_L316_); trivial. % 0.90/1.09 (* end of lemma zenon_L317_ *) % 0.90/1.09 assert (zenon_L318_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H11b zenon_H90 zenon_H189 zenon_H2b zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H27 zenon_H172 zenon_H241 zenon_H242 zenon_H243 zenon_H24a zenon_H139 zenon_H9b zenon_H8c zenon_H89 zenon_H24 zenon_H1c6 zenon_H159 zenon_H5 zenon_H77. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.90/1.09 apply (zenon_L73_); trivial. % 0.90/1.09 apply (zenon_L317_); trivial. % 0.90/1.09 (* end of lemma zenon_L318_ *) % 0.90/1.09 assert (zenon_L319_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H11e zenon_H90 zenon_H241 zenon_H242 zenon_H243 zenon_H24a zenon_H8c zenon_H1c6 zenon_H5 zenon_H77 zenon_H1bd zenon_H64 zenon_H1f3 zenon_H1f1 zenon_H139 zenon_H9b zenon_Hb zenon_H155 zenon_H89 zenon_H157 zenon_H2b zenon_H159 zenon_H19a zenon_H172 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H1a8 zenon_H27 zenon_H24 zenon_H189. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.09 apply (zenon_L168_); trivial. % 0.90/1.09 apply (zenon_L318_); trivial. % 0.90/1.09 (* end of lemma zenon_L319_ *) % 0.90/1.09 assert (zenon_L320_ : (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37)))))) -> (ndr1_0) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (c3_1 (a1211)) -> False). % 0.90/1.09 do 0 intro. intros zenon_H91 zenon_Hf zenon_H242 zenon_H243 zenon_H24c. % 0.90/1.09 generalize (zenon_H91 (a1211)). zenon_intro zenon_H24d. % 0.90/1.09 apply (zenon_imply_s _ _ zenon_H24d); [ zenon_intro zenon_He | zenon_intro zenon_H24e ]. % 0.90/1.09 exact (zenon_He zenon_Hf). % 0.90/1.09 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H249 | zenon_intro zenon_H24f ]. % 0.90/1.09 exact (zenon_H242 zenon_H249). % 0.90/1.09 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H248 | zenon_intro zenon_H250 ]. % 0.90/1.09 exact (zenon_H248 zenon_H243). % 0.90/1.09 exact (zenon_H250 zenon_H24c). % 0.90/1.09 (* end of lemma zenon_L320_ *) % 0.90/1.09 assert (zenon_L321_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1211))) -> (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37)))))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> False). % 0.90/1.09 do 0 intro. intros zenon_H145 zenon_Hf zenon_H241 zenon_H91 zenon_H242 zenon_H243. % 0.90/1.09 generalize (zenon_H145 (a1211)). zenon_intro zenon_H251. % 0.90/1.09 apply (zenon_imply_s _ _ zenon_H251); [ zenon_intro zenon_He | zenon_intro zenon_H252 ]. % 0.90/1.09 exact (zenon_He zenon_Hf). % 0.90/1.09 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H247 | zenon_intro zenon_H253 ]. % 0.90/1.09 exact (zenon_H241 zenon_H247). % 0.90/1.09 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H24c | zenon_intro zenon_H248 ]. % 0.90/1.09 apply (zenon_L320_); trivial. % 0.90/1.09 exact (zenon_H248 zenon_H243). % 0.90/1.09 (* end of lemma zenon_L321_ *) % 0.90/1.09 assert (zenon_L322_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1213)) -> (c2_1 (a1213)) -> (c1_1 (a1213)) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37)))))) -> (~(c0_1 (a1211))) -> (ndr1_0) -> False). % 0.90/1.09 do 0 intro. intros zenon_H1da zenon_H1d3 zenon_H1d2 zenon_H1d1 zenon_H243 zenon_H242 zenon_H91 zenon_H241 zenon_Hf. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H145 | zenon_intro zenon_H1d0 ]. % 0.90/1.09 apply (zenon_L321_); trivial. % 0.90/1.09 apply (zenon_L150_); trivial. % 0.90/1.09 (* end of lemma zenon_L322_ *) % 0.90/1.09 assert (zenon_L323_ : ((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c0_1 (a1208)) -> (c1_1 (a1208)) -> (c2_1 (a1208)) -> False). % 0.90/1.09 do 0 intro. intros zenon_H1db zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_H43 zenon_H44 zenon_H45. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.09 apply (zenon_L41_); trivial. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.09 apply (zenon_L322_); trivial. % 0.90/1.09 apply (zenon_L20_); trivial. % 0.90/1.09 (* end of lemma zenon_L323_ *) % 0.90/1.09 assert (zenon_L324_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(hskp19)) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp25)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H50 zenon_H1de zenon_Ha9 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H137 zenon_H1ca zenon_H1cc zenon_H9 zenon_H34 zenon_H36. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.09 apply (zenon_L18_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.09 apply (zenon_L148_); trivial. % 0.90/1.09 apply (zenon_L323_); trivial. % 0.90/1.09 (* end of lemma zenon_L324_ *) % 0.90/1.09 assert (zenon_L325_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37)))))) -> (~(c0_1 (a1211))) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.90/1.09 do 0 intro. intros zenon_H157 zenon_H243 zenon_H242 zenon_H91 zenon_H241 zenon_H1d zenon_H1c zenon_H1b zenon_Hf zenon_H89. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H145 | zenon_intro zenon_H158 ]. % 0.90/1.09 apply (zenon_L321_); trivial. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H1a | zenon_intro zenon_H8a ]. % 0.90/1.09 apply (zenon_L9_); trivial. % 0.90/1.09 exact (zenon_H89 zenon_H8a). % 0.90/1.09 (* end of lemma zenon_L325_ *) % 0.90/1.09 assert (zenon_L326_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(hskp19)) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H26 zenon_H1de zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H1da zenon_H241 zenon_H242 zenon_H243 zenon_H89 zenon_H157 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H137 zenon_H1ca zenon_H1cc. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.09 apply (zenon_L148_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.09 apply (zenon_L41_); trivial. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.09 apply (zenon_L325_); trivial. % 0.90/1.09 apply (zenon_L151_); trivial. % 0.90/1.09 (* end of lemma zenon_L326_ *) % 0.90/1.09 assert (zenon_L327_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(hskp19)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H2b zenon_H147 zenon_H148 zenon_H150 zenon_H89 zenon_H157 zenon_H36 zenon_H34 zenon_H1cc zenon_H1ca zenon_H137 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H1da zenon_H243 zenon_H242 zenon_H241 zenon_Ha9 zenon_H1de zenon_H50. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.09 apply (zenon_L324_); trivial. % 0.90/1.09 apply (zenon_L326_); trivial. % 0.90/1.09 (* end of lemma zenon_L327_ *) % 0.90/1.09 assert (zenon_L328_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_Hb7 zenon_H189 zenon_H64 zenon_H61 zenon_H5b zenon_H4d zenon_H112 zenon_Hd5 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H181 zenon_H180 zenon_H50 zenon_H1de zenon_Ha9 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_H1ca zenon_H1cc zenon_H34 zenon_H36 zenon_H157 zenon_H89 zenon_H150 zenon_H148 zenon_H147 zenon_H2b. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.09 apply (zenon_L327_); trivial. % 0.90/1.09 apply (zenon_L113_); trivial. % 0.90/1.09 (* end of lemma zenon_L328_ *) % 0.90/1.09 assert (zenon_L329_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c2_1 (a1247))) -> (c2_1 (a1229)) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp25)) -> False). % 0.90/1.09 do 0 intro. intros zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_H89 zenon_Hf zenon_Hdb zenon_Hdc zenon_H27 zenon_H16b zenon_H164 zenon_H161 zenon_H163 zenon_Hdd zenon_H24 zenon_H8c zenon_H9. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H240 | zenon_intro zenon_H24b ]. % 0.90/1.09 apply (zenon_L314_); trivial. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H66 | zenon_intro zenon_Ha ]. % 0.90/1.09 apply (zenon_L133_); trivial. % 0.90/1.09 exact (zenon_H9 zenon_Ha). % 0.90/1.09 (* end of lemma zenon_L329_ *) % 0.90/1.09 assert (zenon_L330_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp28)) -> (ndr1_0) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp25)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H172 zenon_H170 zenon_Hf zenon_H241 zenon_H242 zenon_H243 zenon_H8c zenon_H89 zenon_H163 zenon_H164 zenon_H16b zenon_Hdb zenon_Hdc zenon_Hdd zenon_H24 zenon_H27 zenon_H9 zenon_H24a. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H161 | zenon_intro zenon_H171 ]. % 0.90/1.09 apply (zenon_L329_); trivial. % 0.90/1.09 exact (zenon_H170 zenon_H171). % 0.90/1.09 (* end of lemma zenon_L330_ *) % 0.90/1.09 assert (zenon_L331_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H186 zenon_H64 zenon_H241 zenon_H242 zenon_H243 zenon_H8c zenon_H89 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H24a zenon_H5 zenon_H107 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.09 apply (zenon_L111_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.09 apply (zenon_L330_); trivial. % 0.90/1.09 apply (zenon_L136_); trivial. % 0.90/1.09 apply (zenon_L110_); trivial. % 0.90/1.09 (* end of lemma zenon_L331_ *) % 0.90/1.09 assert (zenon_L332_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((hskp25)\/(hskp21)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_Hef zenon_Hb4 zenon_H24a zenon_H50 zenon_H1de zenon_Ha9 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_H1ca zenon_H1cc zenon_H34 zenon_H36 zenon_H189 zenon_H107 zenon_H77 zenon_H5 zenon_H172 zenon_H27 zenon_H181 zenon_H180 zenon_H159 zenon_H2b zenon_H157 zenon_H89 zenon_H147 zenon_H148 zenon_H150 zenon_H155 zenon_Hb zenon_H139 zenon_H8c zenon_H1c6 zenon_H24 zenon_H5b zenon_H64 zenon_H90. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.09 apply (zenon_L143_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.09 apply (zenon_L327_); trivial. % 0.90/1.09 apply (zenon_L331_); trivial. % 0.90/1.09 (* end of lemma zenon_L332_ *) % 0.90/1.09 assert (zenon_L333_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp19)) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H26 zenon_H1de zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H137 zenon_H1ca zenon_H1cc. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.09 apply (zenon_L148_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.09 apply (zenon_L179_); trivial. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.09 apply (zenon_L322_); trivial. % 0.90/1.09 apply (zenon_L151_); trivial. % 0.90/1.09 (* end of lemma zenon_L333_ *) % 0.90/1.09 assert (zenon_L334_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp19)) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.90/1.09 do 0 intro. intros zenon_H2b zenon_H1de zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H137 zenon_H1ca zenon_H1cc zenon_Hc zenon_Hb. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.09 apply (zenon_L6_); trivial. % 0.90/1.09 apply (zenon_L333_); trivial. % 0.90/1.09 (* end of lemma zenon_L334_ *) % 0.90/1.09 assert (zenon_L335_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1213)) -> (c2_1 (a1213)) -> (c1_1 (a1213)) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H1da zenon_H1d3 zenon_H1d2 zenon_H1d1 zenon_H150 zenon_H148 zenon_H147 zenon_Hf zenon_H14f. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H145 | zenon_intro zenon_H1d0 ]. % 0.90/1.09 apply (zenon_L97_); trivial. % 0.90/1.09 apply (zenon_L150_); trivial. % 0.90/1.09 (* end of lemma zenon_L335_ *) % 0.90/1.09 assert (zenon_L336_ : ((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c0_1 (a1208)) -> (c1_1 (a1208)) -> (c2_1 (a1208)) -> False). % 0.90/1.09 do 0 intro. intros zenon_H1db zenon_H254 zenon_H54 zenon_H53 zenon_H52 zenon_H147 zenon_H148 zenon_H150 zenon_H1da zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_H43 zenon_H44 zenon_H45. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H51 | zenon_intro zenon_H255 ]. % 0.90/1.09 apply (zenon_L23_); trivial. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H14f | zenon_intro zenon_Hf3 ]. % 0.90/1.09 apply (zenon_L335_); trivial. % 0.90/1.09 apply (zenon_L189_); trivial. % 0.90/1.09 (* end of lemma zenon_L336_ *) % 0.90/1.09 assert (zenon_L337_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(hskp19)) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp25)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H50 zenon_H1de zenon_H254 zenon_H93 zenon_H94 zenon_H92 zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H1da zenon_H54 zenon_H53 zenon_H52 zenon_H137 zenon_H1ca zenon_H1cc zenon_H9 zenon_H34 zenon_H36. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.09 apply (zenon_L18_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.09 apply (zenon_L148_); trivial. % 0.90/1.09 apply (zenon_L336_); trivial. % 0.90/1.09 (* end of lemma zenon_L337_ *) % 0.90/1.09 assert (zenon_L338_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(hskp19)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H64 zenon_H36 zenon_H34 zenon_H254 zenon_H50 zenon_Hb zenon_H1cc zenon_H1ca zenon_H137 zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_H1da zenon_H243 zenon_H242 zenon_H241 zenon_H150 zenon_H148 zenon_H147 zenon_Ha9 zenon_H1de zenon_H2b. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.09 apply (zenon_L334_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.09 apply (zenon_L337_); trivial. % 0.90/1.09 apply (zenon_L333_); trivial. % 0.90/1.09 (* end of lemma zenon_L338_ *) % 0.90/1.09 assert (zenon_L339_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((hskp25)\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_Hb3 zenon_H189 zenon_H5 zenon_H107 zenon_H172 zenon_H181 zenon_H180 zenon_H2b zenon_H1de zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_H24 zenon_H27 zenon_H1ca zenon_H1cc zenon_Hb zenon_H50 zenon_H254 zenon_H34 zenon_H36 zenon_H64. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.09 apply (zenon_L338_); trivial. % 0.90/1.09 apply (zenon_L192_); trivial. % 0.90/1.09 (* end of lemma zenon_L339_ *) % 0.90/1.09 assert (zenon_L340_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((hskp25)\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.09 do 0 intro. intros zenon_Hba zenon_H189 zenon_H5 zenon_H107 zenon_H172 zenon_H181 zenon_H180 zenon_H2b zenon_H1de zenon_Ha9 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_H24 zenon_H27 zenon_H1ca zenon_H1cc zenon_Hb zenon_H50 zenon_H254 zenon_H34 zenon_H36 zenon_H64 zenon_H192 zenon_H150 zenon_H148 zenon_H147 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hf zenon_H7b. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.09 apply (zenon_L177_); trivial. % 0.90/1.09 apply (zenon_L339_); trivial. % 0.90/1.09 (* end of lemma zenon_L340_ *) % 0.90/1.09 assert (zenon_L341_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H130 zenon_H134 zenon_Hb4 zenon_H159 zenon_H1ec zenon_H1ea zenon_H1e1 zenon_H2e zenon_H1df zenon_H9d zenon_H7b zenon_H147 zenon_H148 zenon_H150 zenon_H192 zenon_H64 zenon_H36 zenon_H34 zenon_H254 zenon_H50 zenon_Hb zenon_H1cc zenon_H1ca zenon_H27 zenon_H1da zenon_H243 zenon_H242 zenon_H241 zenon_Ha9 zenon_H1de zenon_H2b zenon_H180 zenon_H181 zenon_H172 zenon_H107 zenon_H5 zenon_H189 zenon_Hba. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.09 apply (zenon_L340_); trivial. % 0.90/1.09 apply (zenon_L194_); trivial. % 0.90/1.09 (* end of lemma zenon_L341_ *) % 0.90/1.09 assert (zenon_L342_ : (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))) -> (ndr1_0) -> (~(c1_1 (a1228))) -> (~(c2_1 (a1228))) -> (c0_1 (a1228)) -> False). % 0.90/1.09 do 0 intro. intros zenon_H13b zenon_Hf zenon_Hfd zenon_Hf6 zenon_Hf4. % 0.90/1.09 generalize (zenon_H13b (a1228)). zenon_intro zenon_H256. % 0.90/1.09 apply (zenon_imply_s _ _ zenon_H256); [ zenon_intro zenon_He | zenon_intro zenon_H257 ]. % 0.90/1.09 exact (zenon_He zenon_Hf). % 0.90/1.09 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H101 | zenon_intro zenon_H258 ]. % 0.90/1.09 exact (zenon_Hfd zenon_H101). % 0.90/1.09 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H102 | zenon_intro zenon_Hfb ]. % 0.90/1.09 exact (zenon_Hf6 zenon_H102). % 0.90/1.09 exact (zenon_Hfb zenon_Hf4). % 0.90/1.09 (* end of lemma zenon_L342_ *) % 0.90/1.09 assert (zenon_L343_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c0_1 (a1228)) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))) -> (~(c2_1 (a1228))) -> (c3_1 (a1228)) -> False). % 0.90/1.09 do 0 intro. intros zenon_Hf3 zenon_Hf zenon_Hf4 zenon_H13b zenon_Hf6 zenon_Hf7. % 0.90/1.09 generalize (zenon_Hf3 (a1228)). zenon_intro zenon_Hf8. % 0.90/1.09 apply (zenon_imply_s _ _ zenon_Hf8); [ zenon_intro zenon_He | zenon_intro zenon_Hf9 ]. % 0.90/1.09 exact (zenon_He zenon_Hf). % 0.90/1.09 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ]. % 0.90/1.09 exact (zenon_Hfb zenon_Hf4). % 0.90/1.09 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hfd | zenon_intro zenon_Hfc ]. % 0.90/1.09 apply (zenon_L342_); trivial. % 0.90/1.09 exact (zenon_Hfc zenon_Hf7). % 0.90/1.09 (* end of lemma zenon_L343_ *) % 0.90/1.09 assert (zenon_L344_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (c3_1 (a1228)) -> (~(c2_1 (a1228))) -> (c0_1 (a1228)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(hskp10)) -> False). % 0.90/1.09 do 0 intro. intros zenon_H1c6 zenon_Hf7 zenon_Hf6 zenon_Hf4 zenon_Hf3 zenon_Hce zenon_Hcd zenon_Hf zenon_H161 zenon_H24. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H13b | zenon_intro zenon_H1c7 ]. % 0.90/1.09 apply (zenon_L343_); trivial. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H38 | zenon_intro zenon_H25 ]. % 0.90/1.09 apply (zenon_L195_); trivial. % 0.90/1.09 exact (zenon_H24 zenon_H25). % 0.90/1.09 (* end of lemma zenon_L344_ *) % 0.90/1.09 assert (zenon_L345_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(hskp10)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (ndr1_0) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (c3_1 (a1228)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp5)) -> False). % 0.90/1.09 do 0 intro. intros zenon_H107 zenon_H54 zenon_H53 zenon_H52 zenon_H24 zenon_H161 zenon_Hf zenon_Hcd zenon_Hce zenon_Hf4 zenon_Hf6 zenon_Hf7 zenon_H1c6 zenon_H5. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H51 | zenon_intro zenon_H108 ]. % 0.90/1.09 apply (zenon_L23_); trivial. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H6 ]. % 0.90/1.09 apply (zenon_L344_); trivial. % 0.90/1.09 exact (zenon_H5 zenon_H6). % 0.90/1.09 (* end of lemma zenon_L345_ *) % 0.90/1.09 assert (zenon_L346_ : ((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H129 zenon_H64 zenon_H107 zenon_H5 zenon_H24 zenon_H1c6 zenon_Hb zenon_H172 zenon_H4d zenon_H150 zenon_H148 zenon_H147 zenon_Hce zenon_Hcd zenon_H89 zenon_H157 zenon_H181 zenon_H180 zenon_H2b. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.09 apply (zenon_L200_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H161 | zenon_intro zenon_H171 ]. % 0.90/1.09 apply (zenon_L345_); trivial. % 0.90/1.09 exact (zenon_H170 zenon_H171). % 0.90/1.09 apply (zenon_L136_); trivial. % 0.90/1.09 (* end of lemma zenon_L346_ *) % 0.90/1.09 assert (zenon_L347_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((hskp25)\/(hskp21)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> (ndr1_0) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H134 zenon_Hba zenon_H9d zenon_H7b zenon_Hf2 zenon_Hb4 zenon_H24a zenon_H50 zenon_H1de zenon_Ha9 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_H1ca zenon_H1cc zenon_H34 zenon_H36 zenon_H189 zenon_H107 zenon_H77 zenon_H5 zenon_H172 zenon_H27 zenon_H181 zenon_H180 zenon_H159 zenon_H2b zenon_H157 zenon_H89 zenon_H147 zenon_H148 zenon_H150 zenon_H155 zenon_Hb zenon_H139 zenon_H8c zenon_H1c6 zenon_H5b zenon_H64 zenon_H90 zenon_Hf zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd9 zenon_H4d zenon_H12c. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.09 apply (zenon_L56_); trivial. % 0.90/1.09 apply (zenon_L332_); trivial. % 0.90/1.09 apply (zenon_L346_); trivial. % 0.90/1.09 apply (zenon_L89_); trivial. % 0.90/1.09 (* end of lemma zenon_L347_ *) % 0.90/1.09 assert (zenon_L348_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((hskp25)\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H11b zenon_H189 zenon_H180 zenon_H181 zenon_H172 zenon_H24a zenon_H2b zenon_H1de zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H1ca zenon_H1cc zenon_Hb zenon_H50 zenon_H254 zenon_H34 zenon_H36 zenon_H64. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.09 apply (zenon_L338_); trivial. % 0.90/1.09 apply (zenon_L316_); trivial. % 0.90/1.09 (* end of lemma zenon_L348_ *) % 0.90/1.09 assert (zenon_L349_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_Hb3 zenon_H11e zenon_H24a zenon_H64 zenon_H36 zenon_H34 zenon_H254 zenon_H50 zenon_Hb zenon_H1cc zenon_H1ca zenon_H27 zenon_H24 zenon_H1da zenon_H243 zenon_H242 zenon_H241 zenon_H150 zenon_H148 zenon_H147 zenon_Ha9 zenon_H1de zenon_H2b zenon_H1a8 zenon_H180 zenon_H181 zenon_H172 zenon_H19a zenon_H1f1 zenon_H1f3 zenon_H1bd zenon_H189. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.09 apply (zenon_L338_); trivial. % 0.90/1.09 apply (zenon_L167_); trivial. % 0.90/1.09 apply (zenon_L348_); trivial. % 0.90/1.09 (* end of lemma zenon_L349_ *) % 0.90/1.09 assert (zenon_L350_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.09 do 0 intro. intros zenon_Hba zenon_H11e zenon_H24a zenon_H64 zenon_H36 zenon_H34 zenon_H254 zenon_H50 zenon_Hb zenon_H1cc zenon_H1ca zenon_H27 zenon_H24 zenon_H1da zenon_H243 zenon_H242 zenon_H241 zenon_Ha9 zenon_H1de zenon_H2b zenon_H1a8 zenon_H180 zenon_H181 zenon_H172 zenon_H19a zenon_H1f1 zenon_H1f3 zenon_H1bd zenon_H189 zenon_H192 zenon_H150 zenon_H148 zenon_H147 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hf zenon_H7b. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.09 apply (zenon_L177_); trivial. % 0.90/1.09 apply (zenon_L349_); trivial. % 0.90/1.09 (* end of lemma zenon_L350_ *) % 0.90/1.09 assert (zenon_L351_ : ((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H1db zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.09 apply (zenon_L41_); trivial. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.09 apply (zenon_L322_); trivial. % 0.90/1.09 apply (zenon_L187_); trivial. % 0.90/1.09 (* end of lemma zenon_L351_ *) % 0.90/1.09 assert (zenon_L352_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(hskp19)) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H1de zenon_Ha9 zenon_H211 zenon_H1f1 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H217 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H137 zenon_H1ca zenon_H1cc. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.09 apply (zenon_L148_); trivial. % 0.90/1.09 apply (zenon_L351_); trivial. % 0.90/1.09 (* end of lemma zenon_L352_ *) % 0.90/1.09 assert (zenon_L353_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H189 zenon_H1bd zenon_H64 zenon_H2b zenon_H50 zenon_H1df zenon_H94 zenon_H93 zenon_H92 zenon_Hce zenon_Hcd zenon_H5b zenon_Hb zenon_H1ea zenon_H1f3 zenon_H159 zenon_H19a zenon_H103 zenon_H172 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H1a8 zenon_H1cc zenon_H1ca zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H1da zenon_H243 zenon_H242 zenon_H241 zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_Ha9 zenon_H1de. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.09 apply (zenon_L352_); trivial. % 0.90/1.09 apply (zenon_L220_); trivial. % 0.90/1.09 (* end of lemma zenon_L353_ *) % 0.90/1.09 assert (zenon_L354_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> (ndr1_0) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H2b zenon_H50 zenon_H1df zenon_H135 zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H180 zenon_Hf zenon_H241 zenon_H242 zenon_H243 zenon_H109 zenon_H10a zenon_H10b zenon_H24a. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.09 apply (zenon_L315_); trivial. % 0.90/1.09 apply (zenon_L236_); trivial. % 0.90/1.09 (* end of lemma zenon_L354_ *) % 0.90/1.09 assert (zenon_L355_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> (~(hskp22)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H159 zenon_H1de zenon_H1ec zenon_H172 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_H36 zenon_H34 zenon_Hd5 zenon_H2c zenon_H112 zenon_H24a zenon_H10b zenon_H10a zenon_H109 zenon_H243 zenon_H242 zenon_H241 zenon_Hf zenon_H180 zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H1df zenon_H50 zenon_H2b. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.09 apply (zenon_L354_); trivial. % 0.90/1.09 apply (zenon_L272_); trivial. % 0.90/1.09 (* end of lemma zenon_L355_ *) % 0.90/1.09 assert (zenon_L356_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H11b zenon_H189 zenon_H61 zenon_H4d zenon_H2b zenon_H50 zenon_H1df zenon_H27 zenon_H93 zenon_H94 zenon_H92 zenon_H3 zenon_H127 zenon_Ha9 zenon_H241 zenon_H242 zenon_H243 zenon_H24a zenon_H112 zenon_Hd5 zenon_H34 zenon_H36 zenon_H1ea zenon_H1ec zenon_H139 zenon_H9b zenon_H1cc zenon_H1ca zenon_H1c6 zenon_H24 zenon_Hcd zenon_Hce zenon_H172 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H159. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.09 apply (zenon_L248_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.09 apply (zenon_L355_); trivial. % 0.90/1.09 apply (zenon_L238_); trivial. % 0.90/1.09 (* end of lemma zenon_L356_ *) % 0.90/1.09 assert (zenon_L357_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (~(hskp14)) -> False). % 0.90/1.09 do 0 intro. intros zenon_H60 zenon_H5b zenon_H109 zenon_H10a zenon_H10b zenon_H9d zenon_Hdd zenon_Hdc zenon_Hdb zenon_H94 zenon_H93 zenon_H92 zenon_H9b. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.90/1.09 apply (zenon_L23_); trivial. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.90/1.09 apply (zenon_L169_); trivial. % 0.90/1.09 apply (zenon_L255_); trivial. % 0.90/1.09 (* end of lemma zenon_L357_ *) % 0.90/1.09 assert (zenon_L358_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_Hef zenon_Hb4 zenon_H211 zenon_H189 zenon_H1bd zenon_H1f1 zenon_H1f3 zenon_H1a8 zenon_H1ea zenon_Hb zenon_H1df zenon_Ha9 zenon_H127 zenon_H3 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H27 zenon_H50 zenon_H2b zenon_H19a zenon_H36 zenon_H34 zenon_H5b zenon_H9d zenon_H64 zenon_H139 zenon_H1cc zenon_H1ca zenon_H1c6 zenon_H24 zenon_Hcd zenon_Hce zenon_H172 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H159 zenon_H241 zenon_H242 zenon_H243 zenon_H24a zenon_H11e. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.09 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.09 apply (zenon_L248_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.09 apply (zenon_L270_); trivial. % 0.90/1.09 apply (zenon_L258_); trivial. % 0.90/1.09 apply (zenon_L277_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.09 apply (zenon_L248_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.09 apply (zenon_L249_); trivial. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.09 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.09 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.09 apply (zenon_L315_); trivial. % 0.90/1.09 apply (zenon_L252_); trivial. % 0.90/1.09 apply (zenon_L357_); trivial. % 0.90/1.09 apply (zenon_L261_); trivial. % 0.90/1.09 (* end of lemma zenon_L358_ *) % 0.90/1.09 assert (zenon_L359_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> (ndr1_0) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> False). % 0.90/1.09 do 0 intro. intros zenon_Hf2 zenon_Hb4 zenon_H211 zenon_H189 zenon_H1bd zenon_H1f1 zenon_H1f3 zenon_H1a8 zenon_H1ea zenon_Hb zenon_H1df zenon_Ha9 zenon_H127 zenon_H3 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H27 zenon_H50 zenon_H2b zenon_H19a zenon_H36 zenon_H34 zenon_H5b zenon_H9d zenon_H64 zenon_H139 zenon_H1cc zenon_H1ca zenon_H1c6 zenon_H24 zenon_H172 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H159 zenon_H241 zenon_H242 zenon_H243 zenon_H24a zenon_H11e zenon_Hf zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd7 zenon_Hd9. % 0.90/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.09 apply (zenon_L56_); trivial. % 0.90/1.09 apply (zenon_L358_); trivial. % 0.90/1.09 (* end of lemma zenon_L359_ *) % 0.90/1.09 assert (zenon_L360_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.09 do 0 intro. intros zenon_H186 zenon_H159 zenon_H1de zenon_H1ec zenon_H172 zenon_H1ea zenon_H36 zenon_H34 zenon_Hc6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H24a zenon_H10b zenon_H10a zenon_H109 zenon_H243 zenon_H242 zenon_H241 zenon_H180 zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H1df zenon_H50 zenon_H2b. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.10 apply (zenon_L354_); trivial. % 0.90/1.10 apply (zenon_L286_); trivial. % 0.90/1.10 (* end of lemma zenon_L360_ *) % 0.90/1.10 assert (zenon_L361_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp25)\/(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H11e zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_H159 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_Hce zenon_Hcd zenon_H24 zenon_H1c6 zenon_H1ca zenon_H1cc zenon_H9b zenon_H139 zenon_H1a8 zenon_H1ea zenon_H50 zenon_Ha9 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H92 zenon_H94 zenon_H93 zenon_Hc6 zenon_H34 zenon_H36 zenon_H1df zenon_H127 zenon_H3 zenon_H1ec zenon_H2b zenon_H19a zenon_H1f3 zenon_H211 zenon_H1f1 zenon_Hb zenon_H27 zenon_H64 zenon_H1bd zenon_H189. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.10 apply (zenon_L290_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.10 apply (zenon_L248_); trivial. % 0.90/1.10 apply (zenon_L360_); trivial. % 0.90/1.10 (* end of lemma zenon_L361_ *) % 0.90/1.10 assert (zenon_L362_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1250)) -> (c3_1 (a1250)) -> (~(c0_1 (a1250))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1259))) -> (~(c3_1 (a1259))) -> (c0_1 (a1259)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H2b zenon_H1df zenon_H135 zenon_H217 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H22a zenon_H229 zenon_H228 zenon_H5b zenon_H180 zenon_H36 zenon_H34 zenon_H39 zenon_H3a zenon_H3b zenon_H4d zenon_H50. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.10 apply (zenon_L22_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.10 apply (zenon_L154_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.90/1.10 apply (zenon_L274_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.90/1.10 apply (zenon_L19_); trivial. % 0.90/1.10 apply (zenon_L9_); trivial. % 0.90/1.10 apply (zenon_L21_); trivial. % 0.90/1.10 (* end of lemma zenon_L362_ *) % 0.90/1.10 assert (zenon_L363_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> (~(c0_1 (a1250))) -> (c3_1 (a1250)) -> (c2_1 (a1250)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H5d zenon_H159 zenon_H1f3 zenon_H211 zenon_H1f1 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1ea zenon_H16b zenon_H164 zenon_H163 zenon_H172 zenon_H50 zenon_H4d zenon_H34 zenon_H36 zenon_H180 zenon_H5b zenon_H228 zenon_H229 zenon_H22a zenon_H1aa zenon_H1ab zenon_H1ac zenon_H217 zenon_H1df zenon_H2b. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.10 apply (zenon_L362_); trivial. % 0.90/1.10 apply (zenon_L219_); trivial. % 0.90/1.10 (* end of lemma zenon_L363_ *) % 0.90/1.10 assert (zenon_L364_ : ((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H1b8 zenon_H61 zenon_H4d zenon_H34 zenon_H36 zenon_H5b zenon_H2b zenon_H50 zenon_H112 zenon_Hd5 zenon_H1df zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1f1 zenon_H1f3 zenon_H180 zenon_H172 zenon_H163 zenon_H164 zenon_H16b zenon_H1ea zenon_Hbc zenon_Hbd zenon_Hbe zenon_H211 zenon_H159. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.10 apply (zenon_L275_); trivial. % 0.90/1.10 apply (zenon_L74_); trivial. % 0.90/1.10 apply (zenon_L219_); trivial. % 0.90/1.10 apply (zenon_L363_); trivial. % 0.90/1.10 (* end of lemma zenon_L364_ *) % 0.90/1.10 assert (zenon_L365_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37)))))) -> (~(c0_1 (a1211))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (ndr1_0) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H222 zenon_H243 zenon_H242 zenon_H91 zenon_H241 zenon_H10b zenon_H10a zenon_H109 zenon_H161 zenon_Hf zenon_Hcd zenon_Hce. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H145 | zenon_intro zenon_H223 ]. % 0.90/1.10 apply (zenon_L321_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H66 | zenon_intro zenon_H38 ]. % 0.90/1.10 apply (zenon_L72_); trivial. % 0.90/1.10 apply (zenon_L195_); trivial. % 0.90/1.10 (* end of lemma zenon_L365_ *) % 0.90/1.10 assert (zenon_L366_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (c3_1 (a1214)) -> (c0_1 (a1214)) -> (c1_1 (a1214)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.90/1.10 do 0 intro. intros zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_Hce zenon_Hcd zenon_H161 zenon_H109 zenon_H10a zenon_H10b zenon_H241 zenon_H242 zenon_H243 zenon_H222 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H127 zenon_H1c zenon_H1b zenon_H179 zenon_H177 zenon_H178 zenon_Hf zenon_H3. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.10 apply (zenon_L41_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.10 apply (zenon_L365_); trivial. % 0.90/1.10 apply (zenon_L233_); trivial. % 0.90/1.10 (* end of lemma zenon_L366_ *) % 0.90/1.10 assert (zenon_L367_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.90/1.10 do 0 intro. intros zenon_H2b zenon_H50 zenon_H180 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H222 zenon_Hce zenon_Hcd zenon_H10b zenon_H10a zenon_H109 zenon_H243 zenon_H242 zenon_H241 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H135 zenon_H1df zenon_H1de zenon_Hc zenon_Hb. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.10 apply (zenon_L6_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.10 apply (zenon_L154_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.10 apply (zenon_L366_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.10 apply (zenon_L250_); trivial. % 0.90/1.10 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.10 apply (zenon_L296_); trivial. % 0.90/1.10 apply (zenon_L42_); trivial. % 0.90/1.10 (* end of lemma zenon_L367_ *) % 0.90/1.10 assert (zenon_L368_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> (ndr1_0) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H2b zenon_H50 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H180 zenon_H5b zenon_Hcd zenon_Hce zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H54 zenon_H53 zenon_H52 zenon_H135 zenon_H1df zenon_H1de zenon_Hf zenon_H241 zenon_H242 zenon_H243 zenon_H109 zenon_H10a zenon_H10b zenon_H24a. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.10 apply (zenon_L315_); trivial. % 0.90/1.10 apply (zenon_L297_); trivial. % 0.90/1.10 (* end of lemma zenon_L368_ *) % 0.90/1.10 assert (zenon_L369_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((hskp25)\/(hskp21)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H11b zenon_H189 zenon_H64 zenon_H24a zenon_H5b zenon_H2b zenon_H50 zenon_H180 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H222 zenon_Hce zenon_Hcd zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_H1df zenon_Hb zenon_Hc6 zenon_H34 zenon_H36 zenon_H1ea zenon_H172 zenon_H159 zenon_H1cc zenon_H1ca zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H1da zenon_H243 zenon_H242 zenon_H241 zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_Ha9 zenon_H1de. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.10 apply (zenon_L352_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.10 apply (zenon_L367_); trivial. % 0.90/1.10 apply (zenon_L286_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.10 apply (zenon_L368_); trivial. % 0.90/1.10 apply (zenon_L298_); trivial. % 0.90/1.10 (* end of lemma zenon_L369_ *) % 0.90/1.10 assert (zenon_L370_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((hskp25)\/(hskp21)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_Hb7 zenon_H11e zenon_H64 zenon_H24a zenon_H222 zenon_Hce zenon_Hcd zenon_Hb zenon_H1da zenon_H243 zenon_H242 zenon_H241 zenon_H1de zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H211 zenon_H1f1 zenon_H217 zenon_H94 zenon_H93 zenon_H92 zenon_H1ca zenon_H1cc zenon_H1a8 zenon_H159 zenon_H1ea zenon_H50 zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hc6 zenon_H34 zenon_H36 zenon_H172 zenon_H1df zenon_H127 zenon_H3 zenon_H1ec zenon_H180 zenon_H2b zenon_H19a zenon_H1f3 zenon_Hd5 zenon_H112 zenon_H5b zenon_H4d zenon_H61 zenon_H1bd zenon_H189. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.10 apply (zenon_L242_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.10 apply (zenon_L288_); trivial. % 0.90/1.10 apply (zenon_L364_); trivial. % 0.90/1.10 apply (zenon_L369_); trivial. % 0.90/1.10 (* end of lemma zenon_L370_ *) % 0.90/1.10 assert (zenon_L371_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp25)\/(hskp21)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H11e zenon_H24a zenon_Ha9 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_H92 zenon_H94 zenon_H93 zenon_H50 zenon_H254 zenon_H34 zenon_H36 zenon_H159 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_Hce zenon_Hcd zenon_H24 zenon_H1c6 zenon_H1ca zenon_H1cc zenon_H9b zenon_H139 zenon_H1a8 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H19a zenon_H2b zenon_H27 zenon_Hb zenon_H1f1 zenon_H1f3 zenon_H64 zenon_H1bd zenon_H189. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.10 apply (zenon_L304_); trivial. % 0.90/1.10 apply (zenon_L348_); trivial. % 0.90/1.10 (* end of lemma zenon_L371_ *) % 0.90/1.10 assert (zenon_L372_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_Hb7 zenon_H11e zenon_H1ec zenon_H4d zenon_H222 zenon_H22a zenon_H229 zenon_H228 zenon_H1de zenon_Ha9 zenon_H211 zenon_H1f1 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H217 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_H1ca zenon_H1cc zenon_H1a8 zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H172 zenon_H19a zenon_H159 zenon_H1f3 zenon_H1ea zenon_Hb zenon_H5b zenon_Hcd zenon_Hce zenon_H92 zenon_H93 zenon_H94 zenon_H1df zenon_H50 zenon_H2b zenon_H64 zenon_H1bd zenon_H189. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.10 apply (zenon_L353_); trivial. % 0.90/1.10 apply (zenon_L306_); trivial. % 0.90/1.10 (* end of lemma zenon_L372_ *) % 0.90/1.10 assert (zenon_L373_ : ((~(hskp5))\/((ndr1_0)/\((c2_1 (a1212))/\((~(c0_1 (a1212)))/\(~(c3_1 (a1212))))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1216)))/\((~(c2_1 (a1216)))/\(~(c3_1 (a1216))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp1)\/(hskp16))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((hskp15)\/((hskp6)\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp25)\/(hskp21)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a1215))/\((c2_1 (a1215))/\(~(c3_1 (a1215))))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H259 zenon_H224 zenon_H12c zenon_H127 zenon_H107 zenon_H105 zenon_H112 zenon_H11e zenon_Hd9 zenon_Hf2 zenon_H134 zenon_Hba zenon_Hb4 zenon_Ha9 zenon_H9d zenon_H7b zenon_H77 zenon_H8c zenon_H90 zenon_H7 zenon_H2b zenon_H27 zenon_Hb zenon_H30 zenon_H50 zenon_H4d zenon_H34 zenon_H36 zenon_H5b zenon_H61 zenon_H64 zenon_Hca zenon_Hc6 zenon_H133 zenon_H1ec zenon_H1ea zenon_H1e1 zenon_H1df zenon_H192 zenon_H254 zenon_H241 zenon_H242 zenon_H243 zenon_H24a zenon_H1c6 zenon_H1bd zenon_H1f3 zenon_H1f1 zenon_H139 zenon_H155 zenon_H157 zenon_H159 zenon_H19a zenon_H172 zenon_H181 zenon_H180 zenon_H1a8 zenon_H189 zenon_H1cc zenon_H1ca zenon_H1da zenon_H1de zenon_H217 zenon_H211 zenon_H222 zenon_H23c. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.10 apply (zenon_L311_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.10 apply (zenon_L319_); trivial. % 0.90/1.10 apply (zenon_L328_); trivial. % 0.90/1.10 apply (zenon_L332_); trivial. % 0.90/1.10 apply (zenon_L89_); trivial. % 0.90/1.10 apply (zenon_L341_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.10 apply (zenon_L347_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.10 apply (zenon_L350_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.10 apply (zenon_L177_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.10 apply (zenon_L40_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.10 apply (zenon_L353_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.10 apply (zenon_L352_); trivial. % 0.90/1.10 apply (zenon_L225_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Hf. zenon_intro zenon_H25b. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H22a. zenon_intro zenon_H25c. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H228. zenon_intro zenon_H229. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.10 apply (zenon_L239_); trivial. % 0.90/1.10 apply (zenon_L281_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.10 apply (zenon_L239_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.10 apply (zenon_L229_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.10 apply (zenon_L40_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.10 apply (zenon_L352_); trivial. % 0.90/1.10 apply (zenon_L245_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.10 apply (zenon_L229_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.10 apply (zenon_L278_); trivial. % 0.90/1.10 apply (zenon_L356_); trivial. % 0.90/1.10 apply (zenon_L261_); trivial. % 0.90/1.10 apply (zenon_L358_); trivial. % 0.90/1.10 apply (zenon_L281_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.10 apply (zenon_L229_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.10 apply (zenon_L359_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.10 apply (zenon_L361_); trivial. % 0.90/1.10 apply (zenon_L370_); trivial. % 0.90/1.10 apply (zenon_L85_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.10 apply (zenon_L229_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.10 apply (zenon_L40_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.10 apply (zenon_L242_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.10 apply (zenon_L288_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.10 apply (zenon_L275_); trivial. % 0.90/1.10 apply (zenon_L42_); trivial. % 0.90/1.10 apply (zenon_L253_); trivial. % 0.90/1.10 apply (zenon_L166_); trivial. % 0.90/1.10 apply (zenon_L369_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.10 apply (zenon_L229_); trivial. % 0.90/1.10 apply (zenon_L349_); trivial. % 0.90/1.10 apply (zenon_L281_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.10 apply (zenon_L350_); trivial. % 0.90/1.10 apply (zenon_L303_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.10 apply (zenon_L229_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.10 apply (zenon_L371_); trivial. % 0.90/1.10 apply (zenon_L302_); trivial. % 0.90/1.10 apply (zenon_L281_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.10 apply (zenon_L229_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.10 apply (zenon_L371_); trivial. % 0.90/1.10 apply (zenon_L372_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.10 apply (zenon_L177_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.10 apply (zenon_L40_); trivial. % 0.90/1.10 apply (zenon_L372_); trivial. % 0.90/1.10 (* end of lemma zenon_L373_ *) % 0.90/1.10 assert (zenon_L374_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (c2_1 (a1210)) -> False). % 0.90/1.10 do 0 intro. intros zenon_H42 zenon_Hf zenon_H25d zenon_H25e zenon_H25f. % 0.90/1.10 generalize (zenon_H42 (a1210)). zenon_intro zenon_H260. % 0.90/1.10 apply (zenon_imply_s _ _ zenon_H260); [ zenon_intro zenon_He | zenon_intro zenon_H261 ]. % 0.90/1.10 exact (zenon_He zenon_Hf). % 0.90/1.10 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H263 | zenon_intro zenon_H262 ]. % 0.90/1.10 exact (zenon_H263 zenon_H25d). % 0.90/1.10 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H265 | zenon_intro zenon_H264 ]. % 0.90/1.10 exact (zenon_H265 zenon_H25e). % 0.90/1.10 exact (zenon_H264 zenon_H25f). % 0.90/1.10 (* end of lemma zenon_L374_ *) % 0.90/1.10 assert (zenon_L375_ : (forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67)))))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1210))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H1e3 zenon_Hf zenon_H42 zenon_H25d zenon_H25e zenon_H266. % 0.90/1.10 generalize (zenon_H1e3 (a1210)). zenon_intro zenon_H267. % 0.90/1.10 apply (zenon_imply_s _ _ zenon_H267); [ zenon_intro zenon_He | zenon_intro zenon_H268 ]. % 0.90/1.10 exact (zenon_He zenon_Hf). % 0.90/1.10 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H25f | zenon_intro zenon_H269 ]. % 0.90/1.10 apply (zenon_L374_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H26a | zenon_intro zenon_H265 ]. % 0.90/1.10 exact (zenon_H266 zenon_H26a). % 0.90/1.10 exact (zenon_H265 zenon_H25e). % 0.90/1.10 (* end of lemma zenon_L375_ *) % 0.90/1.10 assert (zenon_L376_ : (forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))) -> (ndr1_0) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 0.90/1.10 do 0 intro. intros zenon_H1e7 zenon_Hf zenon_H266 zenon_H25d zenon_H25e. % 0.90/1.10 generalize (zenon_H1e7 (a1210)). zenon_intro zenon_H26b. % 0.90/1.10 apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_He | zenon_intro zenon_H26c ]. % 0.90/1.10 exact (zenon_He zenon_Hf). % 0.90/1.10 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H26a | zenon_intro zenon_H26d ]. % 0.90/1.10 exact (zenon_H266 zenon_H26a). % 0.90/1.10 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H263 | zenon_intro zenon_H265 ]. % 0.90/1.10 exact (zenon_H263 zenon_H25d). % 0.90/1.10 exact (zenon_H265 zenon_H25e). % 0.90/1.10 (* end of lemma zenon_L376_ *) % 0.90/1.10 assert (zenon_L377_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c0_1 (a1267)) -> (~(c2_1 (a1267))) -> (~(c1_1 (a1267))) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 0.90/1.10 do 0 intro. intros zenon_H1ea zenon_H13e zenon_H13d zenon_H13c zenon_H42 zenon_Hf zenon_H266 zenon_H25d zenon_H25e. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H13b | zenon_intro zenon_H1eb ]. % 0.90/1.10 apply (zenon_L95_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e7 ]. % 0.90/1.10 apply (zenon_L375_); trivial. % 0.90/1.10 apply (zenon_L376_); trivial. % 0.90/1.10 (* end of lemma zenon_L377_ *) % 0.90/1.10 assert (zenon_L378_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 0.90/1.10 do 0 intro. intros zenon_H15a zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H94 zenon_H93 zenon_H92 zenon_H1ea zenon_H266 zenon_H25d zenon_H25e. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.10 apply (zenon_L41_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.10 apply (zenon_L38_); trivial. % 0.90/1.10 apply (zenon_L377_); trivial. % 0.90/1.10 (* end of lemma zenon_L378_ *) % 0.90/1.10 assert (zenon_L379_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_Hb7 zenon_H159 zenon_H25d zenon_H25e zenon_H266 zenon_H1ea zenon_H180 zenon_H1e1 zenon_H2e zenon_H1ca zenon_H1df zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H50. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.10 apply (zenon_L157_); trivial. % 0.90/1.10 apply (zenon_L378_); trivial. % 0.90/1.10 (* end of lemma zenon_L379_ *) % 0.90/1.10 assert (zenon_L380_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_Hb4 zenon_H25d zenon_H25e zenon_H266 zenon_H1ea zenon_H1e1 zenon_H2e zenon_H1ca zenon_H1df zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H64 zenon_H61 zenon_H15f zenon_H15d zenon_H50 zenon_H112 zenon_Hd5 zenon_H34 zenon_H36 zenon_H139 zenon_Hb zenon_H155 zenon_H150 zenon_H148 zenon_H147 zenon_H89 zenon_H157 zenon_H2b zenon_H159 zenon_H180 zenon_H181 zenon_H27 zenon_H24 zenon_H172 zenon_H4d zenon_H5b zenon_H189. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.10 apply (zenon_L114_); trivial. % 0.90/1.10 apply (zenon_L379_); trivial. % 0.90/1.10 (* end of lemma zenon_L380_ *) % 0.90/1.10 assert (zenon_L381_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 0.90/1.10 do 0 intro. intros zenon_H15a zenon_H1ea zenon_H16b zenon_H164 zenon_H163 zenon_H266 zenon_H25d zenon_H25e. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H13b | zenon_intro zenon_H1eb ]. % 0.90/1.10 apply (zenon_L95_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e7 ]. % 0.90/1.10 apply (zenon_L158_); trivial. % 0.90/1.10 apply (zenon_L376_); trivial. % 0.90/1.10 (* end of lemma zenon_L381_ *) % 0.90/1.10 assert (zenon_L382_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H186 zenon_H159 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H180 zenon_H1e1 zenon_H2e zenon_H1ca zenon_H1df zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H50. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.10 apply (zenon_L157_); trivial. % 0.90/1.10 apply (zenon_L381_); trivial. % 0.90/1.10 (* end of lemma zenon_L382_ *) % 0.90/1.10 assert (zenon_L383_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_Hb7 zenon_H189 zenon_H159 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H180 zenon_H1e1 zenon_H2e zenon_H1df zenon_H50 zenon_H1cc zenon_H1ca zenon_H92 zenon_H93 zenon_H94 zenon_H1da zenon_H150 zenon_H148 zenon_H147 zenon_Ha9 zenon_H1de. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.10 apply (zenon_L153_); trivial. % 0.90/1.10 apply (zenon_L382_); trivial. % 0.90/1.10 (* end of lemma zenon_L383_ *) % 0.90/1.10 assert (zenon_L384_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 0.90/1.10 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_H159 zenon_H25d zenon_H25e zenon_H266 zenon_H1ea zenon_H180 zenon_H1e1 zenon_H2e zenon_H1ca zenon_H1df zenon_Ha9 zenon_H50 zenon_H67 zenon_H68 zenon_H69 zenon_H9d. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.10 apply (zenon_L40_); trivial. % 0.90/1.10 apply (zenon_L379_); trivial. % 0.90/1.10 (* end of lemma zenon_L384_ *) % 0.90/1.10 assert (zenon_L385_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H159 zenon_H25d zenon_H25e zenon_H266 zenon_H1ea zenon_H180 zenon_H1e1 zenon_H2e zenon_H1ca zenon_H1df zenon_Ha9 zenon_H50 zenon_H9d zenon_H7b zenon_H5 zenon_H77 zenon_H89 zenon_H8c zenon_H90. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.10 apply (zenon_L37_); trivial. % 0.90/1.10 apply (zenon_L384_); trivial. % 0.90/1.10 (* end of lemma zenon_L385_ *) % 0.90/1.10 assert (zenon_L386_ : (forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26)))))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 0.90/1.10 do 0 intro. intros zenon_H10 zenon_Hf zenon_H42 zenon_H25d zenon_H25e. % 0.90/1.10 generalize (zenon_H10 (a1210)). zenon_intro zenon_H26e. % 0.90/1.10 apply (zenon_imply_s _ _ zenon_H26e); [ zenon_intro zenon_He | zenon_intro zenon_H26f ]. % 0.90/1.10 exact (zenon_He zenon_Hf). % 0.90/1.10 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H25f | zenon_intro zenon_H26d ]. % 0.90/1.10 apply (zenon_L374_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H263 | zenon_intro zenon_H265 ]. % 0.90/1.10 exact (zenon_H263 zenon_H25d). % 0.90/1.10 exact (zenon_H265 zenon_H25e). % 0.90/1.10 (* end of lemma zenon_L386_ *) % 0.90/1.10 assert (zenon_L387_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.90/1.10 do 0 intro. intros zenon_Hc6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H25e zenon_H25d zenon_H42 zenon_Hf zenon_H34. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc9 ]. % 0.90/1.10 apply (zenon_L50_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H10 | zenon_intro zenon_H35 ]. % 0.90/1.10 apply (zenon_L386_); trivial. % 0.90/1.10 exact (zenon_H34 zenon_H35). % 0.90/1.10 (* end of lemma zenon_L387_ *) % 0.90/1.10 assert (zenon_L388_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.10 do 0 intro. intros zenon_H130 zenon_Hba zenon_Ha9 zenon_H25d zenon_H25e zenon_H34 zenon_Hc6 zenon_H192 zenon_H150 zenon_H148 zenon_H147 zenon_H7b. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.10 apply (zenon_L177_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.10 apply (zenon_L282_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.10 apply (zenon_L38_); trivial. % 0.90/1.10 apply (zenon_L387_); trivial. % 0.90/1.10 (* end of lemma zenon_L388_ *) % 0.90/1.10 assert (zenon_L389_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.10 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H159 zenon_H25d zenon_H25e zenon_H266 zenon_H1ea zenon_H180 zenon_H1e1 zenon_H2e zenon_H1ca zenon_H1df zenon_Ha9 zenon_H50 zenon_H9d zenon_H228 zenon_H229 zenon_H22a zenon_H7b. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.10 apply (zenon_L229_); trivial. % 0.90/1.10 apply (zenon_L384_); trivial. % 0.90/1.10 (* end of lemma zenon_L389_ *) % 0.90/1.10 assert (zenon_L390_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (ndr1_0) -> ((hskp22)\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H134 zenon_Hb4 zenon_H25d zenon_H25e zenon_H266 zenon_H1ea zenon_H1e1 zenon_H1ca zenon_H9d zenon_H7b zenon_H22a zenon_H229 zenon_H228 zenon_Hf zenon_H30 zenon_H2e zenon_H3 zenon_H2b zenon_H1df zenon_H27 zenon_H217 zenon_H127 zenon_Ha9 zenon_H180 zenon_H36 zenon_H34 zenon_H4d zenon_H50 zenon_H1c6 zenon_H159 zenon_H61 zenon_Hba. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.10 apply (zenon_L239_); trivial. % 0.90/1.10 apply (zenon_L389_); trivial. % 0.90/1.10 (* end of lemma zenon_L390_ *) % 0.90/1.10 assert (zenon_L391_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26)))))) -> (ndr1_0) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 0.90/1.10 do 0 intro. intros zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_H10 zenon_Hf zenon_H25d zenon_H25e. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.10 apply (zenon_L178_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.10 apply (zenon_L38_); trivial. % 0.90/1.10 apply (zenon_L386_); trivial. % 0.90/1.10 (* end of lemma zenon_L391_ *) % 0.90/1.10 assert (zenon_L392_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(hskp26)) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H32 zenon_H135 zenon_H1df zenon_H27 zenon_H24 zenon_H1d zenon_H1c zenon_H1b zenon_H16b zenon_H164 zenon_H163 zenon_Hf zenon_Ha9 zenon_H25e zenon_H25d zenon_H93 zenon_H94 zenon_H92 zenon_H1ec. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.10 apply (zenon_L105_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.10 apply (zenon_L391_); trivial. % 0.90/1.10 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.10 apply (zenon_L296_); trivial. % 0.90/1.10 (* end of lemma zenon_L392_ *) % 0.90/1.10 assert (zenon_L393_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H26 zenon_H50 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H25d zenon_H25e zenon_Ha9 zenon_H163 zenon_H164 zenon_H16b zenon_H24 zenon_H27 zenon_H1df zenon_H135 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.10 apply (zenon_L392_); trivial. % 0.90/1.10 apply (zenon_L235_); trivial. % 0.90/1.10 (* end of lemma zenon_L393_ *) % 0.90/1.10 assert (zenon_L394_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> ((hskp25)\/(hskp21)) -> (~(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H159 zenon_H1ea zenon_H266 zenon_Hb zenon_Hc zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1df zenon_H27 zenon_H24 zenon_H16b zenon_H164 zenon_H163 zenon_Ha9 zenon_H25e zenon_H25d zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H50 zenon_H2b. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.10 apply (zenon_L6_); trivial. % 0.90/1.10 apply (zenon_L393_); trivial. % 0.90/1.10 apply (zenon_L381_); trivial. % 0.90/1.10 (* end of lemma zenon_L394_ *) % 0.90/1.10 assert (zenon_L395_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(c1_1 (a1267))) -> (~(c2_1 (a1267))) -> (c0_1 (a1267)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(c0_1 (a1257))) -> (~(c1_1 (a1257))) -> (c3_1 (a1257)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp25)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H50 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H13c zenon_H13d zenon_H13e zenon_H172 zenon_H24 zenon_H1c6 zenon_H52 zenon_H53 zenon_H54 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_Ha9 zenon_Hce zenon_Hcd zenon_H9d zenon_H9b zenon_Hdd zenon_Hdc zenon_Hdb zenon_H5b zenon_H9 zenon_H34 zenon_H36. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.10 apply (zenon_L18_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.10 apply (zenon_L256_); trivial. % 0.90/1.10 apply (zenon_L247_); trivial. % 0.90/1.10 (* end of lemma zenon_L395_ *) % 0.90/1.10 assert (zenon_L396_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (ndr1_0) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp27)) -> False). % 0.90/1.10 do 0 intro. intros zenon_H1ec zenon_Hce zenon_Hcd zenon_H38 zenon_H25e zenon_H25d zenon_Hf zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H1c8. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.10 apply (zenon_L195_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.10 apply (zenon_L391_); trivial. % 0.90/1.10 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.10 (* end of lemma zenon_L396_ *) % 0.90/1.10 assert (zenon_L397_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(hskp27)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (ndr1_0) -> (c0_1 (a1204)) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> False). % 0.90/1.10 do 0 intro. intros zenon_H5b zenon_H54 zenon_H53 zenon_H52 zenon_H1c8 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_H25d zenon_H25e zenon_Hcd zenon_Hce zenon_H1ec zenon_Hf zenon_H1b zenon_H1c zenon_H1d. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.90/1.10 apply (zenon_L23_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.90/1.10 apply (zenon_L396_); trivial. % 0.90/1.10 apply (zenon_L9_); trivial. % 0.90/1.10 (* end of lemma zenon_L397_ *) % 0.90/1.10 assert (zenon_L398_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H15a zenon_H2b zenon_H25d zenon_H25e zenon_H36 zenon_H34 zenon_H5b zenon_Hdb zenon_Hdc zenon_Hdd zenon_H9b zenon_H9d zenon_Hcd zenon_Hce zenon_Ha9 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H54 zenon_H53 zenon_H52 zenon_H1c6 zenon_H24 zenon_H172 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H50. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.10 apply (zenon_L395_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.10 apply (zenon_L397_); trivial. % 0.90/1.10 apply (zenon_L247_); trivial. % 0.90/1.10 (* end of lemma zenon_L398_ *) % 0.90/1.10 assert (zenon_L399_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((hskp25)\/(hskp21)) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H189 zenon_H64 zenon_H9d zenon_Hdd zenon_Hdc zenon_Hdb zenon_H5b zenon_H34 zenon_H36 zenon_H2b zenon_H50 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H25d zenon_H25e zenon_Ha9 zenon_H27 zenon_H1df zenon_Hb zenon_H266 zenon_H1ea zenon_H139 zenon_H9b zenon_H1cc zenon_H1ca zenon_H1c6 zenon_H24 zenon_Hcd zenon_Hce zenon_H172 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H159. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.10 apply (zenon_L248_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.10 apply (zenon_L394_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.10 apply (zenon_L257_); trivial. % 0.90/1.10 apply (zenon_L393_); trivial. % 0.90/1.10 apply (zenon_L398_); trivial. % 0.90/1.10 (* end of lemma zenon_L399_ *) % 0.90/1.10 assert (zenon_L400_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(hskp26)) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a1257))) -> (~(c1_1 (a1257))) -> (c3_1 (a1257)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (c0_1 (a1204)) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H32 zenon_H135 zenon_H1df zenon_Hf zenon_H52 zenon_H53 zenon_H54 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H25d zenon_H25e zenon_Ha9 zenon_Hce zenon_Hcd zenon_H1b zenon_H1c zenon_H1d zenon_H5b. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.10 apply (zenon_L397_); trivial. % 0.90/1.10 apply (zenon_L296_); trivial. % 0.90/1.10 (* end of lemma zenon_L400_ *) % 0.90/1.10 assert (zenon_L401_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H60 zenon_H159 zenon_H266 zenon_H1ea zenon_H50 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H34 zenon_H36 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1df zenon_H1ec zenon_H25d zenon_H25e zenon_Hce zenon_Hcd zenon_H5b zenon_H2b. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.10 apply (zenon_L43_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.10 apply (zenon_L400_); trivial. % 0.90/1.10 apply (zenon_L42_); trivial. % 0.90/1.10 apply (zenon_L378_); trivial. % 0.90/1.10 (* end of lemma zenon_L401_ *) % 0.90/1.10 assert (zenon_L402_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_Hb7 zenon_H64 zenon_H34 zenon_H36 zenon_H1de zenon_H1ec zenon_Hce zenon_Hcd zenon_H5b zenon_H2b zenon_H50 zenon_H1df zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H180 zenon_Hb zenon_H1ea zenon_H266 zenon_H25e zenon_H25d zenon_H159. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.10 apply (zenon_L249_); trivial. % 0.90/1.10 apply (zenon_L378_); trivial. % 0.90/1.10 apply (zenon_L401_); trivial. % 0.90/1.10 (* end of lemma zenon_L402_ *) % 0.90/1.10 assert (zenon_L403_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> ((hskp25)\/(hskp21)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> (ndr1_0) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> False). % 0.90/1.10 do 0 intro. intros zenon_Hf2 zenon_Hb4 zenon_H3 zenon_H127 zenon_H159 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_H24 zenon_H1c6 zenon_H1ca zenon_H1cc zenon_H139 zenon_H1ea zenon_H266 zenon_Hb zenon_H1df zenon_H27 zenon_Ha9 zenon_H25e zenon_H25d zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H50 zenon_H2b zenon_H36 zenon_H34 zenon_H5b zenon_H9d zenon_H64 zenon_H189 zenon_Hf zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd7 zenon_Hd9. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.10 apply (zenon_L56_); trivial. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.10 apply (zenon_L399_); trivial. % 0.90/1.10 apply (zenon_L402_); trivial. % 0.90/1.10 (* end of lemma zenon_L403_ *) % 0.90/1.10 assert (zenon_L404_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> (~(hskp22)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H2b zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H25d zenon_H25e zenon_Ha9 zenon_H163 zenon_H164 zenon_H16b zenon_H24 zenon_H27 zenon_H1df zenon_H135 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H36 zenon_H34 zenon_Hd5 zenon_H2c zenon_H112 zenon_H50. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.10 apply (zenon_L75_); trivial. % 0.90/1.10 apply (zenon_L393_); trivial. % 0.90/1.10 (* end of lemma zenon_L404_ *) % 0.90/1.10 assert (zenon_L405_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H2b zenon_H1ec zenon_H25d zenon_H25e zenon_H163 zenon_H164 zenon_H16b zenon_H24 zenon_H27 zenon_H1df zenon_H135 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H36 zenon_H34 zenon_Hc6 zenon_H93 zenon_H94 zenon_H92 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Ha9 zenon_H50. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.10 apply (zenon_L284_); trivial. % 0.90/1.10 apply (zenon_L393_); trivial. % 0.90/1.10 (* end of lemma zenon_L405_ *) % 0.90/1.10 assert (zenon_L406_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H186 zenon_H159 zenon_H1ea zenon_H266 zenon_H50 zenon_Ha9 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H92 zenon_H94 zenon_H93 zenon_Hc6 zenon_H34 zenon_H36 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1df zenon_H27 zenon_H24 zenon_H25e zenon_H25d zenon_H1ec zenon_H2b. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.10 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.10 apply (zenon_L405_); trivial. % 0.90/1.10 apply (zenon_L381_); trivial. % 0.90/1.10 (* end of lemma zenon_L406_ *) % 0.90/1.10 assert (zenon_L407_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.10 do 0 intro. intros zenon_H189 zenon_H1ea zenon_H266 zenon_H50 zenon_Ha9 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H92 zenon_H94 zenon_H93 zenon_Hc6 zenon_H34 zenon_H36 zenon_H1df zenon_H27 zenon_H25e zenon_H25d zenon_H1ec zenon_H2b zenon_H139 zenon_H9b zenon_H1cc zenon_H1ca zenon_H1c6 zenon_H24 zenon_Hcd zenon_Hce zenon_H172 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H159. % 0.90/1.10 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.10 apply (zenon_L248_); trivial. % 0.90/1.10 apply (zenon_L406_); trivial. % 0.90/1.10 (* end of lemma zenon_L407_ *) % 0.90/1.10 assert (zenon_L408_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(hskp1)) -> False). % 0.90/1.10 do 0 intro. intros zenon_Hb7 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_Hc6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H25e zenon_H25d zenon_H34. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.10 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.10 apply (zenon_L41_); trivial. % 0.90/1.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.10 apply (zenon_L38_); trivial. % 0.90/1.10 apply (zenon_L387_); trivial. % 0.90/1.10 (* end of lemma zenon_L408_ *) % 0.90/1.10 assert (zenon_L409_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> (ndr1_0) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.11 do 0 intro. intros zenon_Hba zenon_Hb4 zenon_H159 zenon_H1de zenon_H180 zenon_H217 zenon_H172 zenon_Hce zenon_Hcd zenon_H24 zenon_H1c6 zenon_H1ca zenon_H1cc zenon_H139 zenon_H2b zenon_H1ec zenon_H25d zenon_H25e zenon_H27 zenon_H1df zenon_H36 zenon_H34 zenon_Hc6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Ha9 zenon_H50 zenon_H266 zenon_H1ea zenon_H189 zenon_Hf zenon_H228 zenon_H229 zenon_H22a zenon_H7b. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.11 apply (zenon_L229_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.11 apply (zenon_L407_); trivial. % 0.90/1.11 apply (zenon_L408_); trivial. % 0.90/1.11 (* end of lemma zenon_L409_ *) % 0.90/1.11 assert (zenon_L410_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 0.90/1.11 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_Ha9 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H25d zenon_H25e zenon_H34 zenon_Hc6 zenon_H67 zenon_H68 zenon_H69 zenon_H9d. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.11 apply (zenon_L40_); trivial. % 0.90/1.11 apply (zenon_L408_); trivial. % 0.90/1.11 (* end of lemma zenon_L410_ *) % 0.90/1.11 assert (zenon_L411_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H130 zenon_H134 zenon_H9d zenon_H7b zenon_H22a zenon_H229 zenon_H228 zenon_H189 zenon_H1ea zenon_H266 zenon_H50 zenon_Ha9 zenon_Hc6 zenon_H34 zenon_H36 zenon_H1df zenon_H27 zenon_H25e zenon_H25d zenon_H1ec zenon_H2b zenon_H139 zenon_H1cc zenon_H1ca zenon_H1c6 zenon_Hcd zenon_Hce zenon_H172 zenon_H217 zenon_H180 zenon_H1de zenon_H159 zenon_Hb4 zenon_Hba. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.11 apply (zenon_L409_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.11 apply (zenon_L229_); trivial. % 0.90/1.11 apply (zenon_L410_); trivial. % 0.90/1.11 (* end of lemma zenon_L411_ *) % 0.90/1.11 assert (zenon_L412_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))) -> (~(hskp14)) -> (ndr1_0) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(hskp9)) -> False). % 0.90/1.11 do 0 intro. intros zenon_H157 zenon_H150 zenon_H148 zenon_H147 zenon_H14f zenon_H9b zenon_Hf zenon_H92 zenon_H93 zenon_H94 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H9d zenon_H89. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H145 | zenon_intro zenon_H158 ]. % 0.90/1.11 apply (zenon_L97_); trivial. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H1a | zenon_intro zenon_H8a ]. % 0.90/1.11 apply (zenon_L255_); trivial. % 0.90/1.11 exact (zenon_H89 zenon_H8a). % 0.90/1.11 (* end of lemma zenon_L412_ *) % 0.90/1.11 assert (zenon_L413_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H186 zenon_H64 zenon_H159 zenon_H5b zenon_H1c6 zenon_H155 zenon_H8c zenon_H50 zenon_H254 zenon_Ha9 zenon_H9d zenon_H9b zenon_H94 zenon_H93 zenon_H92 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H89 zenon_H157 zenon_H34 zenon_H36 zenon_H1de zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1df zenon_H25e zenon_H25d zenon_H1ec zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.11 apply (zenon_L111_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.11 apply (zenon_L18_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H51 | zenon_intro zenon_H255 ]. % 0.90/1.11 apply (zenon_L23_); trivial. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H14f | zenon_intro zenon_Hf3 ]. % 0.90/1.11 apply (zenon_L412_); trivial. % 0.90/1.11 apply (zenon_L189_); trivial. % 0.90/1.11 apply (zenon_L393_); trivial. % 0.90/1.11 apply (zenon_L130_); trivial. % 0.90/1.11 (* end of lemma zenon_L413_ *) % 0.90/1.11 assert (zenon_L414_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp19)) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H5d zenon_H159 zenon_H1c6 zenon_H24 zenon_H137 zenon_H9b zenon_H139. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.11 apply (zenon_L94_); trivial. % 0.90/1.11 apply (zenon_L237_); trivial. % 0.90/1.11 (* end of lemma zenon_L414_ *) % 0.90/1.11 assert (zenon_L415_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H1bd zenon_H61 zenon_H159 zenon_H1c6 zenon_H24 zenon_H9b zenon_H139 zenon_H1b9 zenon_H137 zenon_H25d zenon_H25e zenon_Hd5 zenon_H112 zenon_H79 zenon_H192 zenon_H19a zenon_H103 zenon_H172 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H1a8. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.11 apply (zenon_L123_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H18a | zenon_intro zenon_H194 ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1bc ]. % 0.90/1.11 apply (zenon_L124_); trivial. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H10 | zenon_intro zenon_H138 ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H42 | zenon_intro zenon_H113 ]. % 0.90/1.11 apply (zenon_L386_); trivial. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H2d ]. % 0.90/1.11 exact (zenon_Hd5 zenon_Hd6). % 0.90/1.11 exact (zenon_H2c zenon_H2d). % 0.90/1.11 exact (zenon_H137 zenon_H138). % 0.90/1.11 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H173 | zenon_intro zenon_H7a ]. % 0.90/1.11 apply (zenon_L108_); trivial. % 0.90/1.11 exact (zenon_H79 zenon_H7a). % 0.90/1.11 apply (zenon_L414_); trivial. % 0.90/1.11 (* end of lemma zenon_L415_ *) % 0.90/1.11 assert (zenon_L416_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((hskp25)\/(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp16)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H189 zenon_H64 zenon_H5b zenon_H4d zenon_H50 zenon_H34 zenon_H36 zenon_Hb zenon_H27 zenon_H2b zenon_H1a8 zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H172 zenon_H103 zenon_H19a zenon_H192 zenon_H79 zenon_H112 zenon_Hd5 zenon_H25e zenon_H25d zenon_H1b9 zenon_H139 zenon_H9b zenon_H24 zenon_H1c6 zenon_H159 zenon_H61 zenon_H1bd. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.11 apply (zenon_L415_); trivial. % 0.90/1.11 apply (zenon_L113_); trivial. % 0.90/1.11 (* end of lemma zenon_L416_ *) % 0.90/1.11 assert (zenon_L417_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp25)\/(hskp21)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H11e zenon_H90 zenon_H241 zenon_H242 zenon_H243 zenon_H24a zenon_H8c zenon_H89 zenon_H5 zenon_H77 zenon_H1bd zenon_H61 zenon_H159 zenon_H1c6 zenon_H24 zenon_H9b zenon_H139 zenon_H1b9 zenon_H25d zenon_H25e zenon_Hd5 zenon_H112 zenon_H79 zenon_H192 zenon_H19a zenon_H172 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H1a8 zenon_H2b zenon_H27 zenon_Hb zenon_H36 zenon_H34 zenon_H50 zenon_H4d zenon_H5b zenon_H64 zenon_H189. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.11 apply (zenon_L416_); trivial. % 0.90/1.11 apply (zenon_L318_); trivial. % 0.90/1.11 (* end of lemma zenon_L417_ *) % 0.90/1.11 assert (zenon_L418_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp25)\/(hskp21)) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H186 zenon_H1bd zenon_H64 zenon_H1de zenon_H1ec zenon_H36 zenon_H34 zenon_H5 zenon_H107 zenon_H2b zenon_H50 zenon_H1df zenon_Ha9 zenon_H1da zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_Hce zenon_Hcd zenon_H5b zenon_Hb zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_H159 zenon_H19a zenon_H103 zenon_H172 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H1a8. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.11 apply (zenon_L123_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.11 apply (zenon_L217_); trivial. % 0.90/1.11 apply (zenon_L381_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.11 apply (zenon_L191_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.11 apply (zenon_L397_); trivial. % 0.90/1.11 apply (zenon_L152_); trivial. % 0.90/1.11 (* end of lemma zenon_L418_ *) % 0.90/1.11 assert (zenon_L419_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H186 zenon_H159 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H180 zenon_H4d zenon_H150 zenon_H148 zenon_H147 zenon_Hce zenon_Hcd zenon_H109 zenon_H10a zenon_H10b zenon_H181 zenon_H222 zenon_H1df zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H50. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.11 apply (zenon_L223_); trivial. % 0.90/1.11 apply (zenon_L381_); trivial. % 0.90/1.11 (* end of lemma zenon_L419_ *) % 0.90/1.11 assert (zenon_L420_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H11b zenon_H189 zenon_H159 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H180 zenon_H4d zenon_Hce zenon_Hcd zenon_H181 zenon_H222 zenon_H1df zenon_H50 zenon_H1cc zenon_H1ca zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_H1da zenon_H150 zenon_H148 zenon_H147 zenon_Ha9 zenon_H1de. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.11 apply (zenon_L153_); trivial. % 0.90/1.11 apply (zenon_L419_); trivial. % 0.90/1.11 (* end of lemma zenon_L420_ *) % 0.90/1.11 assert (zenon_L421_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> (~(hskp9)) -> (c0_1 (a1204)) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26)))))) -> (ndr1_0) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 0.90/1.11 do 0 intro. intros zenon_Ha9 zenon_H93 zenon_H94 zenon_H92 zenon_H89 zenon_H1b zenon_H1c zenon_H1d zenon_H241 zenon_H242 zenon_H243 zenon_H157 zenon_H10 zenon_Hf zenon_H25d zenon_H25e. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.11 apply (zenon_L178_); trivial. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.11 apply (zenon_L325_); trivial. % 0.90/1.11 apply (zenon_L386_); trivial. % 0.90/1.11 (* end of lemma zenon_L421_ *) % 0.90/1.11 assert (zenon_L422_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H26 zenon_H50 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H157 zenon_H89 zenon_H243 zenon_H242 zenon_H241 zenon_H25d zenon_H25e zenon_Ha9 zenon_H163 zenon_H164 zenon_H16b zenon_H24 zenon_H27 zenon_H1df zenon_H135 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.11 apply (zenon_L105_); trivial. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.11 apply (zenon_L421_); trivial. % 0.90/1.11 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.11 apply (zenon_L296_); trivial. % 0.90/1.11 apply (zenon_L235_); trivial. % 0.90/1.11 (* end of lemma zenon_L422_ *) % 0.90/1.11 assert (zenon_L423_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H60 zenon_H61 zenon_H5b zenon_H4d zenon_H2b zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H157 zenon_H89 zenon_H243 zenon_H242 zenon_H241 zenon_H25d zenon_H25e zenon_Ha9 zenon_H163 zenon_H164 zenon_H16b zenon_H24 zenon_H27 zenon_H1df zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H36 zenon_H34 zenon_Hd5 zenon_H112 zenon_H50 zenon_H266 zenon_H1ea zenon_H159. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.11 apply (zenon_L75_); trivial. % 0.90/1.11 apply (zenon_L422_); trivial. % 0.90/1.11 apply (zenon_L381_); trivial. % 0.90/1.11 apply (zenon_L25_); trivial. % 0.90/1.11 (* end of lemma zenon_L423_ *) % 0.90/1.11 assert (zenon_L424_ : ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a1210))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp20)) -> False). % 0.90/1.11 do 0 intro. intros zenon_H270 zenon_H266 zenon_H25e zenon_H25d zenon_H42 zenon_Hf zenon_H137 zenon_H196. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H271 ]. % 0.90/1.11 apply (zenon_L375_); trivial. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H138 | zenon_intro zenon_H197 ]. % 0.90/1.11 exact (zenon_H137 zenon_H138). % 0.90/1.11 exact (zenon_H196 zenon_H197). % 0.90/1.11 (* end of lemma zenon_L424_ *) % 0.90/1.11 assert (zenon_L425_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a1210))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(hskp19)) -> (~(hskp20)) -> False). % 0.90/1.11 do 0 intro. intros zenon_H26 zenon_Ha9 zenon_H24 zenon_H27 zenon_H94 zenon_H93 zenon_H92 zenon_H270 zenon_H266 zenon_H25e zenon_H25d zenon_H137 zenon_H196. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.11 apply (zenon_L179_); trivial. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.11 apply (zenon_L38_); trivial. % 0.90/1.11 apply (zenon_L424_); trivial. % 0.90/1.11 (* end of lemma zenon_L425_ *) % 0.90/1.11 assert (zenon_L426_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1210))) -> (~(hskp19)) -> (~(hskp20)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H2b zenon_H25d zenon_H25e zenon_H266 zenon_H137 zenon_H196 zenon_H270 zenon_H24 zenon_H27 zenon_H36 zenon_H34 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H50. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.11 apply (zenon_L43_); trivial. % 0.90/1.11 apply (zenon_L425_); trivial. % 0.90/1.11 (* end of lemma zenon_L426_ *) % 0.90/1.11 assert (zenon_L427_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(hskp26)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1250)) -> (c3_1 (a1250)) -> (~(c0_1 (a1250))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (c0_1 (a1204)) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H1de zenon_H1df zenon_H135 zenon_H32 zenon_H217 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H22a zenon_H229 zenon_H228 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H25d zenon_H25e zenon_Ha9 zenon_Hce zenon_Hcd zenon_H1b zenon_H1c zenon_H1d zenon_H5b zenon_H180. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.11 apply (zenon_L154_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.90/1.11 apply (zenon_L274_); trivial. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.90/1.11 apply (zenon_L396_); trivial. % 0.90/1.11 apply (zenon_L9_); trivial. % 0.90/1.11 apply (zenon_L296_); trivial. % 0.90/1.11 (* end of lemma zenon_L427_ *) % 0.90/1.11 assert (zenon_L428_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> (~(c0_1 (a1250))) -> (c3_1 (a1250)) -> (c2_1 (a1250)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.90/1.11 do 0 intro. intros zenon_H2b zenon_H50 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H180 zenon_H5b zenon_Hcd zenon_Hce zenon_Ha9 zenon_H25e zenon_H25d zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H228 zenon_H229 zenon_H22a zenon_H1aa zenon_H1ab zenon_H1ac zenon_H217 zenon_H135 zenon_H1df zenon_H1de zenon_Hc zenon_Hb. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.11 apply (zenon_L6_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.11 apply (zenon_L427_); trivial. % 0.90/1.11 apply (zenon_L42_); trivial. % 0.90/1.11 (* end of lemma zenon_L428_ *) % 0.90/1.11 assert (zenon_L429_ : (forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67)))))) -> (ndr1_0) -> (~(c2_1 (a1211))) -> (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37)))))) -> (c1_1 (a1211)) -> False). % 0.90/1.11 do 0 intro. intros zenon_H1e3 zenon_Hf zenon_H242 zenon_H91 zenon_H243. % 0.90/1.11 generalize (zenon_H1e3 (a1211)). zenon_intro zenon_H272. % 0.90/1.11 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_He | zenon_intro zenon_H273 ]. % 0.90/1.11 exact (zenon_He zenon_Hf). % 0.90/1.11 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H249 | zenon_intro zenon_H253 ]. % 0.90/1.11 exact (zenon_H242 zenon_H249). % 0.90/1.11 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H24c | zenon_intro zenon_H248 ]. % 0.90/1.11 apply (zenon_L320_); trivial. % 0.90/1.11 exact (zenon_H248 zenon_H243). % 0.90/1.11 (* end of lemma zenon_L429_ *) % 0.90/1.11 assert (zenon_L430_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c0_1 (a1267)) -> (~(c2_1 (a1267))) -> (~(c1_1 (a1267))) -> (c1_1 (a1211)) -> (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37)))))) -> (~(c2_1 (a1211))) -> (ndr1_0) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 0.90/1.11 do 0 intro. intros zenon_H1ea zenon_H13e zenon_H13d zenon_H13c zenon_H243 zenon_H91 zenon_H242 zenon_Hf zenon_H266 zenon_H25d zenon_H25e. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H13b | zenon_intro zenon_H1eb ]. % 0.90/1.11 apply (zenon_L95_); trivial. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e7 ]. % 0.90/1.11 apply (zenon_L429_); trivial. % 0.90/1.11 apply (zenon_L376_); trivial. % 0.90/1.11 (* end of lemma zenon_L430_ *) % 0.90/1.11 assert (zenon_L431_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 0.90/1.11 do 0 intro. intros zenon_H15a zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H242 zenon_H243 zenon_H1ea zenon_H266 zenon_H25d zenon_H25e. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.11 apply (zenon_L41_); trivial. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.11 apply (zenon_L430_); trivial. % 0.90/1.11 apply (zenon_L377_); trivial. % 0.90/1.11 (* end of lemma zenon_L431_ *) % 0.90/1.11 assert (zenon_L432_ : ((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H1b8 zenon_H64 zenon_H34 zenon_H36 zenon_H2b zenon_H50 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H180 zenon_H5b zenon_Hcd zenon_Hce zenon_Ha9 zenon_H25e zenon_H25d zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H1df zenon_H1de zenon_Hb zenon_H1ea zenon_H266 zenon_H243 zenon_H242 zenon_H159. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.11 apply (zenon_L428_); trivial. % 0.90/1.11 apply (zenon_L431_); trivial. % 0.90/1.11 apply (zenon_L401_); trivial. % 0.90/1.11 (* end of lemma zenon_L432_ *) % 0.90/1.11 assert (zenon_L433_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H186 zenon_H159 zenon_H266 zenon_H1ea zenon_H50 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H34 zenon_H36 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1df zenon_H27 zenon_H24 zenon_H25e zenon_H25d zenon_H1ec zenon_H2b. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.11 apply (zenon_L43_); trivial. % 0.90/1.11 apply (zenon_L393_); trivial. % 0.90/1.11 apply (zenon_L378_); trivial. % 0.90/1.11 (* end of lemma zenon_L433_ *) % 0.90/1.11 assert (zenon_L434_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_Hb7 zenon_H189 zenon_H2b zenon_H25d zenon_H25e zenon_H266 zenon_H270 zenon_H24 zenon_H27 zenon_H36 zenon_H34 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H50 zenon_H159 zenon_H242 zenon_H243 zenon_H1ea zenon_Hb zenon_H1de zenon_H1df zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1ec zenon_Hce zenon_Hcd zenon_H5b zenon_H180 zenon_H64 zenon_H1bd. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.11 apply (zenon_L426_); trivial. % 0.90/1.11 apply (zenon_L432_); trivial. % 0.90/1.11 apply (zenon_L433_); trivial. % 0.90/1.11 (* end of lemma zenon_L434_ *) % 0.90/1.11 assert (zenon_L435_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> ((hskp25)\/(hskp21)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_Hb4 zenon_H270 zenon_H1bd zenon_H159 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_Hce zenon_Hcd zenon_H24 zenon_H1c6 zenon_H1ca zenon_H1cc zenon_H139 zenon_H1ea zenon_H266 zenon_Hb zenon_H1df zenon_H27 zenon_Ha9 zenon_H25e zenon_H25d zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H50 zenon_H2b zenon_H112 zenon_Hd5 zenon_H34 zenon_H36 zenon_H241 zenon_H242 zenon_H243 zenon_H89 zenon_H157 zenon_H4d zenon_H5b zenon_H61 zenon_H64 zenon_H189. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.11 apply (zenon_L248_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.11 apply (zenon_L394_); trivial. % 0.90/1.11 apply (zenon_L423_); trivial. % 0.90/1.11 apply (zenon_L434_); trivial. % 0.90/1.11 (* end of lemma zenon_L435_ *) % 0.90/1.11 assert (zenon_L436_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (ndr1_0) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> ((hskp25)\/(hskp21)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H134 zenon_H8c zenon_H7b zenon_H22a zenon_H229 zenon_H228 zenon_Hf zenon_Hb4 zenon_H270 zenon_H1bd zenon_H159 zenon_H1de zenon_H180 zenon_H217 zenon_H172 zenon_Hce zenon_Hcd zenon_H1c6 zenon_H1ca zenon_H1cc zenon_H139 zenon_H1ea zenon_H266 zenon_Hb zenon_H1df zenon_H27 zenon_Ha9 zenon_H25e zenon_H25d zenon_H1ec zenon_H50 zenon_H2b zenon_H112 zenon_H34 zenon_H36 zenon_H241 zenon_H242 zenon_H243 zenon_H89 zenon_H157 zenon_H4d zenon_H5b zenon_H61 zenon_H64 zenon_H189 zenon_H9d zenon_Hf2 zenon_Hba. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.11 apply (zenon_L229_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.11 apply (zenon_L435_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.11 apply (zenon_L399_); trivial. % 0.90/1.11 apply (zenon_L434_); trivial. % 0.90/1.11 apply (zenon_L281_); trivial. % 0.90/1.11 (* end of lemma zenon_L436_ *) % 0.90/1.11 assert (zenon_L437_ : ((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H1a5 zenon_H159 zenon_H242 zenon_H243 zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H50 zenon_Ha9 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H92 zenon_H94 zenon_H93 zenon_Hc6 zenon_H34 zenon_H36 zenon_H1de zenon_H172 zenon_H1df zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H1ec zenon_H180 zenon_H2b. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.11 apply (zenon_L285_); trivial. % 0.90/1.11 apply (zenon_L431_); trivial. % 0.90/1.11 (* end of lemma zenon_L437_ *) % 0.90/1.11 assert (zenon_L438_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((hskp25)\/(hskp21)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H1bd zenon_H64 zenon_H5b zenon_Hcd zenon_Hce zenon_Hb zenon_H19a zenon_H103 zenon_H2b zenon_H180 zenon_H1ec zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_H1df zenon_H172 zenon_H1de zenon_H36 zenon_H34 zenon_Hc6 zenon_H93 zenon_H94 zenon_H92 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Ha9 zenon_H50 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H243 zenon_H242 zenon_H159 zenon_H1a8. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.11 apply (zenon_L119_); trivial. % 0.90/1.11 apply (zenon_L437_); trivial. % 0.90/1.11 apply (zenon_L432_); trivial. % 0.90/1.11 (* end of lemma zenon_L438_ *) % 0.90/1.11 assert (zenon_L439_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(hskp26)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H1de zenon_H1df zenon_H135 zenon_H32 zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H1c zenon_H1b zenon_H217 zenon_H241 zenon_H242 zenon_H243 zenon_H109 zenon_H10a zenon_H10b zenon_Hcd zenon_Hce zenon_H222 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H25e zenon_H25d zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H180. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.11 apply (zenon_L154_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.11 apply (zenon_L366_); trivial. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.11 apply (zenon_L391_); trivial. % 0.90/1.11 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.11 apply (zenon_L296_); trivial. % 0.90/1.11 (* end of lemma zenon_L439_ *) % 0.90/1.11 assert (zenon_L440_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> (~(c0_1 (a1211))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((hskp25)\/(hskp21)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_Hb7 zenon_H11e zenon_H241 zenon_H222 zenon_H1a8 zenon_H159 zenon_H242 zenon_H243 zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_H50 zenon_Ha9 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H92 zenon_H94 zenon_H93 zenon_Hc6 zenon_H34 zenon_H36 zenon_H1de zenon_H172 zenon_H1df zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H1ec zenon_H180 zenon_H2b zenon_H19a zenon_Hb zenon_Hce zenon_Hcd zenon_H5b zenon_H64 zenon_H1bd. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.11 apply (zenon_L438_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.11 apply (zenon_L284_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.11 apply (zenon_L439_); trivial. % 0.90/1.11 apply (zenon_L283_); trivial. % 0.90/1.11 apply (zenon_L431_); trivial. % 0.90/1.11 (* end of lemma zenon_L440_ *) % 0.90/1.11 assert (zenon_L441_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> (~(c0_1 (a1211))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((hskp25)\/(hskp21)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.11 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H11e zenon_H241 zenon_H222 zenon_H1a8 zenon_H159 zenon_H242 zenon_H243 zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_H50 zenon_Ha9 zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hc6 zenon_H34 zenon_H36 zenon_H1de zenon_H172 zenon_H1df zenon_H127 zenon_H3 zenon_H217 zenon_H1ec zenon_H180 zenon_H2b zenon_H19a zenon_Hb zenon_Hce zenon_Hcd zenon_H5b zenon_H64 zenon_H1bd zenon_H9d zenon_H228 zenon_H229 zenon_H22a zenon_H7b. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.11 apply (zenon_L229_); trivial. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.11 apply (zenon_L40_); trivial. % 0.90/1.11 apply (zenon_L440_); trivial. % 0.90/1.11 (* end of lemma zenon_L441_ *) % 0.90/1.11 assert (zenon_L442_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((hskp25)\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H189 zenon_H61 zenon_H5b zenon_H4d zenon_H112 zenon_Hd5 zenon_H172 zenon_H181 zenon_H180 zenon_H2b zenon_H1de zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H1ca zenon_H1cc zenon_Hb zenon_H50 zenon_H254 zenon_H34 zenon_H36 zenon_H64. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.11 apply (zenon_L338_); trivial. % 0.90/1.11 apply (zenon_L113_); trivial. % 0.90/1.11 (* end of lemma zenon_L442_ *) % 0.90/1.11 assert (zenon_L443_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_H186 zenon_H159 zenon_H1ea zenon_H266 zenon_H180 zenon_H1e1 zenon_H2e zenon_H1ca zenon_H24a zenon_H27 zenon_H24 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H89 zenon_H8c zenon_H243 zenon_H242 zenon_H241 zenon_H172 zenon_H1de zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1df zenon_Ha9 zenon_H25e zenon_H25d zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H50 zenon_H2b. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.11 apply (zenon_L330_); trivial. % 0.90/1.11 apply (zenon_L155_); trivial. % 0.90/1.11 apply (zenon_L393_); trivial. % 0.90/1.11 apply (zenon_L381_); trivial. % 0.90/1.11 (* end of lemma zenon_L443_ *) % 0.90/1.11 assert (zenon_L444_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 0.90/1.11 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_H189 zenon_H159 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H180 zenon_H1e1 zenon_H2e zenon_H1df zenon_H50 zenon_H1cc zenon_H1ca zenon_H1da zenon_H150 zenon_H148 zenon_H147 zenon_Ha9 zenon_H1de zenon_H67 zenon_H68 zenon_H69 zenon_H9d. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.11 apply (zenon_L40_); trivial. % 0.90/1.11 apply (zenon_L383_); trivial. % 0.90/1.11 (* end of lemma zenon_L444_ *) % 0.90/1.11 assert (zenon_L445_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.11 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H189 zenon_H159 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H180 zenon_H1e1 zenon_H2e zenon_H1df zenon_H50 zenon_H1cc zenon_H1ca zenon_H1da zenon_H150 zenon_H148 zenon_H147 zenon_Ha9 zenon_H1de zenon_H9d zenon_H228 zenon_H229 zenon_H22a zenon_H7b. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.11 apply (zenon_L229_); trivial. % 0.90/1.11 apply (zenon_L444_); trivial. % 0.90/1.11 (* end of lemma zenon_L445_ *) % 0.90/1.11 assert (zenon_L446_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_Hb7 zenon_H11e zenon_H189 zenon_H4d zenon_H222 zenon_H1cc zenon_H1ca zenon_H1da zenon_H1a8 zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H172 zenon_H19a zenon_H159 zenon_H242 zenon_H243 zenon_H266 zenon_H1ea zenon_Hb zenon_H1de zenon_H1df zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H25d zenon_H25e zenon_Ha9 zenon_Hce zenon_Hcd zenon_H5b zenon_H50 zenon_H2b zenon_H36 zenon_H34 zenon_H64 zenon_H1bd. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.11 apply (zenon_L123_); trivial. % 0.90/1.11 apply (zenon_L432_); trivial. % 0.90/1.11 apply (zenon_L420_); trivial. % 0.90/1.11 (* end of lemma zenon_L446_ *) % 0.90/1.11 assert (zenon_L447_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> ((hskp25)\/(hskp21)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_Hef zenon_Hb4 zenon_H11e zenon_H4d zenon_H222 zenon_H1da zenon_H1a8 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H19a zenon_H242 zenon_H243 zenon_H1bd zenon_H159 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_Hce zenon_Hcd zenon_H24 zenon_H1c6 zenon_H1ca zenon_H1cc zenon_H139 zenon_H1ea zenon_H266 zenon_Hb zenon_H1df zenon_H27 zenon_Ha9 zenon_H25e zenon_H25d zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H50 zenon_H2b zenon_H36 zenon_H34 zenon_H5b zenon_H9d zenon_H64 zenon_H189. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.11 apply (zenon_L399_); trivial. % 0.90/1.11 apply (zenon_L446_); trivial. % 0.90/1.11 (* end of lemma zenon_L447_ *) % 0.90/1.11 assert (zenon_L448_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((hskp25)\/(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> False). % 0.90/1.11 do 0 intro. intros zenon_Hb3 zenon_Hf2 zenon_H9d zenon_H189 zenon_H64 zenon_H61 zenon_H5b zenon_H4d zenon_H50 zenon_H112 zenon_H34 zenon_H36 zenon_Hb zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H2b zenon_H139 zenon_H1cc zenon_H1ca zenon_H1c6 zenon_H24 zenon_Hcd zenon_Hce zenon_H172 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H159 zenon_H1bd zenon_Ha9 zenon_H25e zenon_H25d zenon_H1ec zenon_H1df zenon_H1ea zenon_H266 zenon_H243 zenon_H242 zenon_H19a zenon_H1a8 zenon_H1da zenon_H222 zenon_H11e zenon_Hb4. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.11 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.11 apply (zenon_L248_); trivial. % 0.90/1.11 apply (zenon_L113_); trivial. % 0.90/1.11 apply (zenon_L446_); trivial. % 0.90/1.11 apply (zenon_L447_); trivial. % 0.90/1.11 (* end of lemma zenon_L448_ *) % 0.90/1.11 assert (zenon_L449_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.11 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H11e zenon_H189 zenon_H4d zenon_H222 zenon_H1cc zenon_H1ca zenon_H1da zenon_H1a8 zenon_H180 zenon_H181 zenon_H172 zenon_H19a zenon_H159 zenon_H242 zenon_H243 zenon_H266 zenon_H1ea zenon_Hb zenon_H1de zenon_H1df zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1ec zenon_H25d zenon_H25e zenon_Ha9 zenon_Hce zenon_Hcd zenon_H5b zenon_H50 zenon_H2b zenon_H36 zenon_H34 zenon_H64 zenon_H1bd zenon_H9d zenon_H192 zenon_H150 zenon_H148 zenon_H147 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H7b. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.11 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L177_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.12 apply (zenon_L40_); trivial. % 0.90/1.12 apply (zenon_L446_); trivial. % 0.90/1.12 (* end of lemma zenon_L449_ *) % 0.90/1.12 assert (zenon_L450_ : ((~(hskp4))\/((ndr1_0)/\((c1_1 (a1211))/\((~(c0_1 (a1211)))/\(~(c2_1 (a1211))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a1215))/\((c2_1 (a1215))/\(~(c3_1 (a1215))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp15)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((hskp25)\/(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp15)\/((hskp6)\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp1)\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1216)))/\((~(c2_1 (a1216)))/\(~(c3_1 (a1216))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp5))\/((ndr1_0)/\((c2_1 (a1212))/\((~(c0_1 (a1212)))/\(~(c3_1 (a1212))))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H274 zenon_H270 zenon_H24a zenon_H222 zenon_H23c zenon_H1c6 zenon_H189 zenon_H172 zenon_H181 zenon_H180 zenon_H159 zenon_H157 zenon_H155 zenon_H139 zenon_H15f zenon_H192 zenon_H193 zenon_H1a8 zenon_H19a zenon_H1b9 zenon_H1bd zenon_H25d zenon_H25e zenon_H266 zenon_H1ea zenon_H1e1 zenon_H1ca zenon_H1df zenon_H1de zenon_H1da zenon_H1cc zenon_H133 zenon_Hc6 zenon_Hca zenon_H64 zenon_H61 zenon_H5b zenon_H36 zenon_H34 zenon_H4d zenon_H50 zenon_H30 zenon_Hb zenon_H27 zenon_H2b zenon_H7 zenon_H90 zenon_H8c zenon_H77 zenon_H7b zenon_H9d zenon_Ha9 zenon_Hb4 zenon_Hba zenon_H134 zenon_Hf2 zenon_Hd9 zenon_H11e zenon_H112 zenon_H105 zenon_H107 zenon_H127 zenon_H12c zenon_H224 zenon_H1ec zenon_H217 zenon_H254 zenon_H259. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H15d | zenon_intro zenon_H275 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.12 apply (zenon_L311_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L145_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.12 apply (zenon_L380_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.12 apply (zenon_L143_); trivial. % 0.90/1.12 apply (zenon_L383_); trivial. % 0.90/1.12 apply (zenon_L385_); trivial. % 0.90/1.12 apply (zenon_L388_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.12 apply (zenon_L205_); trivial. % 0.90/1.12 apply (zenon_L388_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Hf. zenon_intro zenon_H25b. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H22a. zenon_intro zenon_H25c. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H228. zenon_intro zenon_H229. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.12 apply (zenon_L390_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L229_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.12 apply (zenon_L403_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.12 apply (zenon_L248_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.12 apply (zenon_L394_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.12 apply (zenon_L404_); trivial. % 0.90/1.12 apply (zenon_L381_); trivial. % 0.90/1.12 apply (zenon_L25_); trivial. % 0.90/1.12 apply (zenon_L402_); trivial. % 0.90/1.12 apply (zenon_L85_); trivial. % 0.90/1.12 apply (zenon_L281_); trivial. % 0.90/1.12 apply (zenon_L411_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L229_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.12 apply (zenon_L380_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.12 apply (zenon_L131_); trivial. % 0.90/1.12 apply (zenon_L413_); trivial. % 0.90/1.12 apply (zenon_L383_); trivial. % 0.90/1.12 apply (zenon_L281_); trivial. % 0.90/1.12 apply (zenon_L388_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.12 apply (zenon_L205_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_L409_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L177_); trivial. % 0.90/1.12 apply (zenon_L410_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H243. zenon_intro zenon_H277. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H241. zenon_intro zenon_H242. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.12 apply (zenon_L311_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.12 apply (zenon_L417_); trivial. % 0.90/1.12 apply (zenon_L328_); trivial. % 0.90/1.12 apply (zenon_L332_); trivial. % 0.90/1.12 apply (zenon_L339_); trivial. % 0.90/1.12 apply (zenon_L89_); trivial. % 0.90/1.12 apply (zenon_L341_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.12 apply (zenon_L347_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_L340_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L177_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.12 apply (zenon_L40_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.12 apply (zenon_L153_); trivial. % 0.90/1.12 apply (zenon_L418_); trivial. % 0.90/1.12 apply (zenon_L420_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Hf. zenon_intro zenon_H25b. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H22a. zenon_intro zenon_H25c. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H228. zenon_intro zenon_H229. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.12 apply (zenon_L390_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.12 apply (zenon_L436_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L229_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.12 apply (zenon_L407_); trivial. % 0.90/1.12 apply (zenon_L434_); trivial. % 0.90/1.12 apply (zenon_L441_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L229_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.12 apply (zenon_L442_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.12 apply (zenon_L131_); trivial. % 0.90/1.12 apply (zenon_L443_); trivial. % 0.90/1.12 apply (zenon_L379_); trivial. % 0.90/1.12 apply (zenon_L281_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L177_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.12 apply (zenon_L338_); trivial. % 0.90/1.12 apply (zenon_L406_); trivial. % 0.90/1.12 apply (zenon_L445_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L229_); trivial. % 0.90/1.12 apply (zenon_L448_); trivial. % 0.90/1.12 apply (zenon_L281_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L177_); trivial. % 0.90/1.12 apply (zenon_L448_); trivial. % 0.90/1.12 apply (zenon_L449_); trivial. % 0.90/1.12 (* end of lemma zenon_L450_ *) % 0.90/1.12 assert (zenon_L451_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H278 zenon_Hf zenon_H279 zenon_H27a zenon_H27b. % 0.90/1.12 generalize (zenon_H278 (a1207)). zenon_intro zenon_H27c. % 0.90/1.12 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_He | zenon_intro zenon_H27d ]. % 0.90/1.12 exact (zenon_He zenon_Hf). % 0.90/1.12 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H27f | zenon_intro zenon_H27e ]. % 0.90/1.12 exact (zenon_H279 zenon_H27f). % 0.90/1.12 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H281 | zenon_intro zenon_H280 ]. % 0.90/1.12 exact (zenon_H27a zenon_H281). % 0.90/1.12 exact (zenon_H27b zenon_H280). % 0.90/1.12 (* end of lemma zenon_L451_ *) % 0.90/1.12 assert (zenon_L452_ : ((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H8b zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_Hbe zenon_Hbd zenon_Hbc. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.90/1.12 apply (zenon_L451_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 0.90/1.12 apply (zenon_L50_); trivial. % 0.90/1.12 apply (zenon_L34_); trivial. % 0.90/1.12 (* end of lemma zenon_L452_ *) % 0.90/1.12 assert (zenon_L453_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1223)) -> (~(c3_1 (a1223))) -> (~(c1_1 (a1223))) -> (ndr1_0) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.12 do 0 intro. intros zenon_H90 zenon_H282 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H77 zenon_H5 zenon_H69 zenon_H68 zenon_H67 zenon_Hf zenon_H79 zenon_H7b. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.90/1.12 apply (zenon_L32_); trivial. % 0.90/1.12 apply (zenon_L452_); trivial. % 0.90/1.12 (* end of lemma zenon_L453_ *) % 0.90/1.12 assert (zenon_L454_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (ndr1_0) -> (c0_1 (a1204)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> False). % 0.90/1.12 do 0 intro. intros zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H94 zenon_H93 zenon_H92 zenon_Hf zenon_H1b zenon_H7f zenon_H1d zenon_H1c. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.12 apply (zenon_L41_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.12 apply (zenon_L38_); trivial. % 0.90/1.12 apply (zenon_L45_); trivial. % 0.90/1.12 (* end of lemma zenon_L454_ *) % 0.90/1.12 assert (zenon_L455_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H26 zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H94 zenon_H93 zenon_H92. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.90/1.12 apply (zenon_L451_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 0.90/1.12 apply (zenon_L50_); trivial. % 0.90/1.12 apply (zenon_L454_); trivial. % 0.90/1.12 (* end of lemma zenon_L455_ *) % 0.90/1.12 assert (zenon_L456_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_Hb7 zenon_H2b zenon_H282 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H36 zenon_H34 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H50. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.12 apply (zenon_L43_); trivial. % 0.90/1.12 apply (zenon_L455_); trivial. % 0.90/1.12 (* end of lemma zenon_L456_ *) % 0.90/1.12 assert (zenon_L457_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 0.90/1.12 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_H2b zenon_H282 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H36 zenon_H34 zenon_Ha9 zenon_H50 zenon_H67 zenon_H68 zenon_H69 zenon_H9d. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.12 apply (zenon_L40_); trivial. % 0.90/1.12 apply (zenon_L456_); trivial. % 0.90/1.12 (* end of lemma zenon_L457_ *) % 0.90/1.12 assert (zenon_L458_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H2b zenon_H36 zenon_H34 zenon_Ha9 zenon_H50 zenon_H9d zenon_H7b zenon_H5 zenon_H77 zenon_H279 zenon_H27a zenon_H27b zenon_Hbc zenon_Hbd zenon_Hbe zenon_H282 zenon_H90. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L453_); trivial. % 0.90/1.12 apply (zenon_L457_); trivial. % 0.90/1.12 (* end of lemma zenon_L458_ *) % 0.90/1.12 assert (zenon_L459_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((hskp25)\/(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H133 zenon_H279 zenon_H27a zenon_H27b zenon_H282 zenon_Hca zenon_H64 zenon_H61 zenon_H5b zenon_H36 zenon_H34 zenon_H4d zenon_H50 zenon_H2e zenon_H30 zenon_Hb zenon_H27 zenon_H2b zenon_H3 zenon_H5 zenon_H7 zenon_H90 zenon_H8c zenon_H77 zenon_H7b zenon_H9d zenon_Ha9 zenon_Hb4 zenon_Hba zenon_H134. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.12 apply (zenon_L310_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_L309_); trivial. % 0.90/1.12 apply (zenon_L458_); trivial. % 0.90/1.12 (* end of lemma zenon_L459_ *) % 0.90/1.12 assert (zenon_L460_ : (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c3_1 (a1233)) -> False). % 0.90/1.12 do 0 intro. intros zenon_H123 zenon_Hf zenon_H11 zenon_H12 zenon_H284. % 0.90/1.12 generalize (zenon_H123 (a1233)). zenon_intro zenon_H285. % 0.90/1.12 apply (zenon_imply_s _ _ zenon_H285); [ zenon_intro zenon_He | zenon_intro zenon_H286 ]. % 0.90/1.12 exact (zenon_He zenon_Hf). % 0.90/1.12 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H17 | zenon_intro zenon_H287 ]. % 0.90/1.12 exact (zenon_H11 zenon_H17). % 0.90/1.12 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H19 | zenon_intro zenon_H288 ]. % 0.90/1.12 exact (zenon_H19 zenon_H12). % 0.90/1.12 exact (zenon_H288 zenon_H284). % 0.90/1.12 (* end of lemma zenon_L460_ *) % 0.90/1.12 assert (zenon_L461_ : (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (~(c2_1 (a1233))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (c0_1 (a1233)) -> False). % 0.90/1.12 do 0 intro. intros zenon_H38 zenon_Hf zenon_H11 zenon_H123 zenon_H12. % 0.90/1.12 generalize (zenon_H38 (a1233)). zenon_intro zenon_H289. % 0.90/1.12 apply (zenon_imply_s _ _ zenon_H289); [ zenon_intro zenon_He | zenon_intro zenon_H28a ]. % 0.90/1.12 exact (zenon_He zenon_Hf). % 0.90/1.12 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H17 | zenon_intro zenon_H28b ]. % 0.90/1.12 exact (zenon_H11 zenon_H17). % 0.90/1.12 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H284 | zenon_intro zenon_H19 ]. % 0.90/1.12 apply (zenon_L460_); trivial. % 0.90/1.12 exact (zenon_H19 zenon_H12). % 0.90/1.12 (* end of lemma zenon_L461_ *) % 0.90/1.12 assert (zenon_L462_ : ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (~(hskp12)) -> False). % 0.90/1.12 do 0 intro. intros zenon_H28c zenon_Hce zenon_Hcd zenon_Hcc zenon_H12 zenon_H11 zenon_Hf zenon_H38 zenon_Hd7. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hcb | zenon_intro zenon_H28d ]. % 0.90/1.12 apply (zenon_L53_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H123 | zenon_intro zenon_Hd8 ]. % 0.90/1.12 apply (zenon_L461_); trivial. % 0.90/1.12 exact (zenon_Hd7 zenon_Hd8). % 0.90/1.12 (* end of lemma zenon_L462_ *) % 0.90/1.12 assert (zenon_L463_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp12)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp4)) -> False). % 0.90/1.12 do 0 intro. intros zenon_H60 zenon_H15f zenon_Hd7 zenon_H11 zenon_H12 zenon_Hcc zenon_Hcd zenon_Hce zenon_H28c zenon_H15d. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H51 | zenon_intro zenon_H160 ]. % 0.90/1.12 apply (zenon_L23_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H38 | zenon_intro zenon_H15e ]. % 0.90/1.12 apply (zenon_L462_); trivial. % 0.90/1.12 exact (zenon_H15d zenon_H15e). % 0.90/1.12 (* end of lemma zenon_L463_ *) % 0.90/1.12 assert (zenon_L464_ : ((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_Hc5 zenon_H64 zenon_H15f zenon_H15d zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd7 zenon_H28c zenon_Hb zenon_H24 zenon_H27 zenon_H2b. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.12 apply (zenon_L12_); trivial. % 0.90/1.12 apply (zenon_L463_); trivial. % 0.90/1.12 (* end of lemma zenon_L464_ *) % 0.90/1.12 assert (zenon_L465_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 0.90/1.12 do 0 intro. intros zenon_Hca zenon_H64 zenon_H15f zenon_H15d zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd7 zenon_H28c zenon_Hb zenon_H24 zenon_H27 zenon_H2b zenon_H3 zenon_H5 zenon_H7. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.12 apply (zenon_L4_); trivial. % 0.90/1.12 apply (zenon_L464_); trivial. % 0.90/1.12 (* end of lemma zenon_L465_ *) % 0.90/1.12 assert (zenon_L466_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> ((hskp25)\/(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp1)\/(hskp16))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H134 zenon_Hba zenon_Hb4 zenon_Ha9 zenon_H9d zenon_H7b zenon_Hca zenon_H64 zenon_H15f zenon_H15d zenon_Hcc zenon_Hcd zenon_Hce zenon_H28c zenon_Hb zenon_H27 zenon_H2b zenon_H3 zenon_H5 zenon_H7 zenon_H11e zenon_H90 zenon_H61 zenon_H4d zenon_H50 zenon_H112 zenon_H36 zenon_H8c zenon_H89 zenon_H5b zenon_H77 zenon_H105 zenon_H34 zenon_H107 zenon_H127 zenon_Hf2 zenon_H12c. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.12 apply (zenon_L465_); trivial. % 0.90/1.12 apply (zenon_L87_); trivial. % 0.90/1.12 apply (zenon_L89_); trivial. % 0.90/1.12 (* end of lemma zenon_L466_ *) % 0.90/1.12 assert (zenon_L467_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H11b zenon_H90 zenon_H282 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H5 zenon_H77. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.90/1.12 apply (zenon_L73_); trivial. % 0.90/1.12 apply (zenon_L452_); trivial. % 0.90/1.12 (* end of lemma zenon_L467_ *) % 0.90/1.12 assert (zenon_L468_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> False). % 0.90/1.12 do 0 intro. intros zenon_Hb7 zenon_H28e zenon_H27b zenon_H27a zenon_H279 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_H147 zenon_H148 zenon_H150. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.12 apply (zenon_L451_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.12 apply (zenon_L41_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.12 apply (zenon_L41_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.12 apply (zenon_L38_); trivial. % 0.90/1.12 apply (zenon_L149_); trivial. % 0.90/1.12 (* end of lemma zenon_L468_ *) % 0.90/1.12 assert (zenon_L469_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_Hb4 zenon_H28e zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H27b zenon_H27a zenon_H279 zenon_H64 zenon_H61 zenon_H15f zenon_H15d zenon_H50 zenon_H112 zenon_Hd5 zenon_H34 zenon_H36 zenon_H139 zenon_Hb zenon_H155 zenon_H150 zenon_H148 zenon_H147 zenon_H89 zenon_H157 zenon_H2b zenon_H159 zenon_H180 zenon_H181 zenon_H27 zenon_H24 zenon_H172 zenon_H4d zenon_H5b zenon_H189. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.12 apply (zenon_L114_); trivial. % 0.90/1.12 apply (zenon_L468_); trivial. % 0.90/1.12 (* end of lemma zenon_L469_ *) % 0.90/1.12 assert (zenon_L470_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_Hef zenon_Hb4 zenon_H28e zenon_H27b zenon_H27a zenon_H279 zenon_H64 zenon_H5b zenon_H24 zenon_H1c6 zenon_H8c zenon_H139 zenon_Hb zenon_H155 zenon_H150 zenon_H148 zenon_H147 zenon_H89 zenon_H157 zenon_H2b zenon_H159 zenon_H180 zenon_H181 zenon_H27 zenon_H172 zenon_H50 zenon_H107 zenon_H5 zenon_H93 zenon_H94 zenon_H92 zenon_Ha9 zenon_H34 zenon_H36 zenon_H189. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.12 apply (zenon_L131_); trivial. % 0.90/1.12 apply (zenon_L192_); trivial. % 0.90/1.12 apply (zenon_L468_); trivial. % 0.90/1.12 (* end of lemma zenon_L470_ *) % 0.90/1.12 assert (zenon_L471_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c0_1 (a1204)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c3_1 (a1204)) -> False). % 0.90/1.12 do 0 intro. intros zenon_Hf3 zenon_Hf zenon_H1b zenon_H7f zenon_H1d. % 0.90/1.12 generalize (zenon_Hf3 (a1204)). zenon_intro zenon_H290. % 0.90/1.12 apply (zenon_imply_s _ _ zenon_H290); [ zenon_intro zenon_He | zenon_intro zenon_H291 ]. % 0.90/1.12 exact (zenon_He zenon_Hf). % 0.90/1.12 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H21 | zenon_intro zenon_H292 ]. % 0.90/1.12 exact (zenon_H21 zenon_H1b). % 0.90/1.12 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_Hab | zenon_intro zenon_H22 ]. % 0.90/1.12 apply (zenon_L44_); trivial. % 0.90/1.12 exact (zenon_H22 zenon_H1d). % 0.90/1.12 (* end of lemma zenon_L471_ *) % 0.90/1.12 assert (zenon_L472_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp10)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H26 zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H181 zenon_H24 zenon_H163 zenon_H164 zenon_H16b zenon_H27 zenon_H150 zenon_H148 zenon_H147. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.90/1.12 apply (zenon_L451_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 0.90/1.12 apply (zenon_L50_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H161 | zenon_intro zenon_H185 ]. % 0.90/1.12 apply (zenon_L105_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H173 | zenon_intro zenon_Hf3 ]. % 0.90/1.12 apply (zenon_L108_); trivial. % 0.90/1.12 apply (zenon_L471_); trivial. % 0.90/1.12 (* end of lemma zenon_L472_ *) % 0.90/1.12 assert (zenon_L473_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.90/1.12 do 0 intro. intros zenon_H2b zenon_H282 zenon_H27 zenon_H24 zenon_H16b zenon_H164 zenon_H163 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_Hc zenon_Hb. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.12 apply (zenon_L6_); trivial. % 0.90/1.12 apply (zenon_L472_); trivial. % 0.90/1.12 (* end of lemma zenon_L473_ *) % 0.90/1.12 assert (zenon_L474_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (~(c3_1 (a1215))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (ndr1_0) -> (c0_1 (a1208)) -> (c1_1 (a1208)) -> (c2_1 (a1208)) -> False). % 0.90/1.12 do 0 intro. intros zenon_H254 zenon_H54 zenon_H53 zenon_H52 zenon_H150 zenon_H148 zenon_H145 zenon_H147 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_Hf zenon_H43 zenon_H44 zenon_H45. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H51 | zenon_intro zenon_H255 ]. % 0.90/1.12 apply (zenon_L23_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H14f | zenon_intro zenon_Hf3 ]. % 0.90/1.12 apply (zenon_L97_); trivial. % 0.90/1.12 apply (zenon_L189_); trivial. % 0.90/1.12 (* end of lemma zenon_L474_ *) % 0.90/1.12 assert (zenon_L475_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H186 zenon_H64 zenon_H180 zenon_H172 zenon_H36 zenon_H34 zenon_Hc6 zenon_H93 zenon_H94 zenon_H92 zenon_H254 zenon_Ha9 zenon_H28e zenon_H50 zenon_Hb zenon_H279 zenon_H27a zenon_H27b zenon_Hbc zenon_Hbd zenon_Hbe zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H24 zenon_H27 zenon_H282 zenon_H2b. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.12 apply (zenon_L473_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.12 apply (zenon_L18_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.12 apply (zenon_L451_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.12 apply (zenon_L282_); trivial. % 0.90/1.12 apply (zenon_L474_); trivial. % 0.90/1.12 apply (zenon_L110_); trivial. % 0.90/1.12 (* end of lemma zenon_L475_ *) % 0.90/1.12 assert (zenon_L476_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.12 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H2b zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_H36 zenon_H34 zenon_Ha9 zenon_H50 zenon_H9d zenon_H192 zenon_H150 zenon_H148 zenon_H147 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H7b. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L177_); trivial. % 0.90/1.12 apply (zenon_L457_); trivial. % 0.90/1.12 (* end of lemma zenon_L476_ *) % 0.90/1.12 assert (zenon_L477_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H130 zenon_H134 zenon_H9d zenon_H7b zenon_H147 zenon_H148 zenon_H150 zenon_H192 zenon_H189 zenon_H64 zenon_H180 zenon_H172 zenon_H36 zenon_H254 zenon_Ha9 zenon_H50 zenon_Hb zenon_H181 zenon_H27 zenon_H282 zenon_H2b zenon_H139 zenon_H279 zenon_H27a zenon_H27b zenon_Hc6 zenon_H34 zenon_H155 zenon_H28e zenon_H159 zenon_Hb4 zenon_Hba. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L177_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.12 apply (zenon_L94_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.12 apply (zenon_L451_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.12 apply (zenon_L282_); trivial. % 0.90/1.12 apply (zenon_L98_); trivial. % 0.90/1.12 apply (zenon_L475_); trivial. % 0.90/1.12 apply (zenon_L456_); trivial. % 0.90/1.12 apply (zenon_L476_); trivial. % 0.90/1.12 (* end of lemma zenon_L477_ *) % 0.90/1.12 assert (zenon_L478_ : ((ndr1_0)/\((c1_1 (a1215))/\((c2_1 (a1215))/\(~(c3_1 (a1215)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp15)\/(hskp4))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H23d zenon_H133 zenon_H254 zenon_H282 zenon_Hc6 zenon_Hba zenon_H279 zenon_H27a zenon_H27b zenon_Ha9 zenon_H28e zenon_Hb4 zenon_Hca zenon_H11e zenon_H90 zenon_H8c zenon_H5 zenon_H77 zenon_H1bd zenon_H1b9 zenon_H19a zenon_H1a8 zenon_H193 zenon_H192 zenon_H64 zenon_H61 zenon_H15f zenon_H15d zenon_H50 zenon_H112 zenon_H34 zenon_H36 zenon_H139 zenon_Hb zenon_H155 zenon_H157 zenon_H2b zenon_H159 zenon_H180 zenon_H181 zenon_H27 zenon_H172 zenon_H4d zenon_H5b zenon_H189 zenon_H1c6 zenon_H107 zenon_Hf2 zenon_H7b zenon_H9d zenon_H134. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L145_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.12 apply (zenon_L469_); trivial. % 0.90/1.12 apply (zenon_L470_); trivial. % 0.90/1.12 apply (zenon_L89_); trivial. % 0.90/1.12 apply (zenon_L477_); trivial. % 0.90/1.12 (* end of lemma zenon_L478_ *) % 0.90/1.12 assert (zenon_L479_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H15a zenon_H293 zenon_H27b zenon_H27a zenon_H279 zenon_H22a zenon_H229 zenon_H228. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H278 | zenon_intro zenon_H294 ]. % 0.90/1.12 apply (zenon_L451_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H65 | zenon_intro zenon_H13b ]. % 0.90/1.12 apply (zenon_L228_); trivial. % 0.90/1.12 apply (zenon_L95_); trivial. % 0.90/1.12 (* end of lemma zenon_L479_ *) % 0.90/1.12 assert (zenon_L480_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp19)) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H159 zenon_H293 zenon_H22a zenon_H229 zenon_H228 zenon_H27b zenon_H27a zenon_H279 zenon_H137 zenon_H9b zenon_H139. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.12 apply (zenon_L94_); trivial. % 0.90/1.12 apply (zenon_L479_); trivial. % 0.90/1.12 (* end of lemma zenon_L480_ *) % 0.90/1.12 assert (zenon_L481_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((hskp6)\/(hskp7))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (ndr1_0) -> (forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26)))))) -> (~(hskp6)) -> (~(hskp7)) -> False). % 0.90/1.12 do 0 intro. intros zenon_H295 zenon_H16b zenon_H164 zenon_H163 zenon_Hf zenon_H10 zenon_H3 zenon_H2e. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H161 | zenon_intro zenon_H31 ]. % 0.90/1.12 apply (zenon_L104_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H4 | zenon_intro zenon_H2f ]. % 0.90/1.12 exact (zenon_H3 zenon_H4). % 0.90/1.12 exact (zenon_H2e zenon_H2f). % 0.90/1.12 (* end of lemma zenon_L481_ *) % 0.90/1.12 assert (zenon_L482_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c0_1 (a1259)) -> (~(c3_1 (a1259))) -> (~(c2_1 (a1259))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((hskp6)\/(hskp7))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.90/1.12 do 0 intro. intros zenon_H2b zenon_H50 zenon_H4d zenon_H3b zenon_H3a zenon_H39 zenon_H1ec zenon_H3 zenon_H2e zenon_H295 zenon_H163 zenon_H164 zenon_H16b zenon_H24 zenon_H27 zenon_H1df zenon_H135 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_Hc zenon_Hb. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.12 apply (zenon_L6_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.12 apply (zenon_L105_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.12 apply (zenon_L481_); trivial. % 0.90/1.12 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.12 apply (zenon_L296_); trivial. % 0.90/1.12 apply (zenon_L21_); trivial. % 0.90/1.12 (* end of lemma zenon_L482_ *) % 0.90/1.12 assert (zenon_L483_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((hskp6)\/(hskp7))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H189 zenon_H64 zenon_H5b zenon_H36 zenon_H34 zenon_H30 zenon_H2e zenon_H3 zenon_H2b zenon_H50 zenon_H4d zenon_H1ec zenon_H295 zenon_H24 zenon_H27 zenon_H1df zenon_H217 zenon_H180 zenon_H1de zenon_Hb zenon_H1c6 zenon_H61 zenon_H139 zenon_H9b zenon_H279 zenon_H27a zenon_H27b zenon_H228 zenon_H229 zenon_H22a zenon_H293 zenon_H159. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.12 apply (zenon_L480_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.12 apply (zenon_L15_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.12 apply (zenon_L482_); trivial. % 0.90/1.12 apply (zenon_L237_); trivial. % 0.90/1.12 apply (zenon_L26_); trivial. % 0.90/1.12 (* end of lemma zenon_L483_ *) % 0.90/1.12 assert (zenon_L484_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_Hb7 zenon_H159 zenon_H293 zenon_H27b zenon_H27a zenon_H279 zenon_H50 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_H34 zenon_H36 zenon_H180 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H24 zenon_H27 zenon_H1df zenon_H2b. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.12 apply (zenon_L259_); trivial. % 0.90/1.12 apply (zenon_L479_); trivial. % 0.90/1.12 (* end of lemma zenon_L484_ *) % 0.90/1.12 assert (zenon_L485_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.12 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H2b zenon_H282 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H36 zenon_H34 zenon_Ha9 zenon_H50 zenon_H9d zenon_H228 zenon_H229 zenon_H22a zenon_H7b. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L229_); trivial. % 0.90/1.12 apply (zenon_L457_); trivial. % 0.90/1.12 (* end of lemma zenon_L485_ *) % 0.90/1.12 assert (zenon_L486_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((hskp6)\/(hskp7))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H130 zenon_H134 zenon_H9d zenon_H7b zenon_H22a zenon_H229 zenon_H228 zenon_H189 zenon_H64 zenon_H5b zenon_H36 zenon_H34 zenon_H30 zenon_H2e zenon_H3 zenon_H2b zenon_H50 zenon_H4d zenon_H1ec zenon_H295 zenon_H27 zenon_H1df zenon_H217 zenon_H180 zenon_H1de zenon_Hb zenon_H1c6 zenon_H61 zenon_H139 zenon_H279 zenon_H27a zenon_H27b zenon_H293 zenon_H159 zenon_Ha9 zenon_H282 zenon_Hb4 zenon_Hba. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.12 apply (zenon_L229_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.12 apply (zenon_L483_); trivial. % 0.90/1.12 apply (zenon_L456_); trivial. % 0.90/1.12 apply (zenon_L485_); trivial. % 0.90/1.12 (* end of lemma zenon_L486_ *) % 0.90/1.12 assert (zenon_L487_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((hskp25)\/(hskp21)) -> (~(hskp21)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H159 zenon_H293 zenon_H27b zenon_H27a zenon_H279 zenon_Hb zenon_Hc zenon_H180 zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H1df zenon_H50 zenon_H2b. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.12 apply (zenon_L249_); trivial. % 0.90/1.12 apply (zenon_L479_); trivial. % 0.90/1.12 (* end of lemma zenon_L487_ *) % 0.90/1.12 assert (zenon_L488_ : ((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(c0_1 (a1257))) -> (~(c1_1 (a1257))) -> (c3_1 (a1257)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H1db zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H52 zenon_H53 zenon_H54 zenon_H172 zenon_Hce zenon_Hcd zenon_H15d zenon_H15f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.12 apply (zenon_L202_); trivial. % 0.90/1.12 apply (zenon_L246_); trivial. % 0.90/1.12 (* end of lemma zenon_L488_ *) % 0.90/1.12 assert (zenon_L489_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(c0_1 (a1257))) -> (~(c1_1 (a1257))) -> (c3_1 (a1257)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp25)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H50 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_H15d zenon_H15f zenon_H52 zenon_H53 zenon_H54 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_Ha9 zenon_Hce zenon_Hcd zenon_H9d zenon_H9b zenon_Hdd zenon_Hdc zenon_Hdb zenon_H5b zenon_H9 zenon_H34 zenon_H36. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.12 apply (zenon_L18_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.12 apply (zenon_L256_); trivial. % 0.90/1.12 apply (zenon_L488_); trivial. % 0.90/1.12 (* end of lemma zenon_L489_ *) % 0.90/1.12 assert (zenon_L490_ : ((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp25)\/(hskp21)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H1b8 zenon_H64 zenon_H2b zenon_H50 zenon_Ha9 zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H1df zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1f1 zenon_H1f3 zenon_H180 zenon_Hb zenon_H279 zenon_H27a zenon_H27b zenon_H293 zenon_H159. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.12 apply (zenon_L276_); trivial. % 0.90/1.12 apply (zenon_L479_); trivial. % 0.90/1.12 apply (zenon_L166_); trivial. % 0.90/1.12 (* end of lemma zenon_L490_ *) % 0.90/1.12 assert (zenon_L491_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp25)\/(hskp21)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H11b zenon_H64 zenon_H15f zenon_H15d zenon_H9b zenon_H9d zenon_H2b zenon_H50 zenon_H1df zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H180 zenon_Hb zenon_H279 zenon_H27a zenon_H27b zenon_H293 zenon_H159. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.12 apply (zenon_L487_); trivial. % 0.90/1.12 apply (zenon_L170_); trivial. % 0.90/1.12 (* end of lemma zenon_L491_ *) % 0.90/1.12 assert (zenon_L492_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((hskp25)\/(hskp21)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> (ndr1_0) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> False). % 0.90/1.12 do 0 intro. intros zenon_Hf2 zenon_Hb4 zenon_H1bd zenon_H1f1 zenon_H1f3 zenon_H159 zenon_H293 zenon_H27b zenon_H27a zenon_H279 zenon_Hb zenon_H180 zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H1df zenon_H50 zenon_H2b zenon_H19a zenon_H36 zenon_H34 zenon_H5b zenon_H9d zenon_H1ec zenon_H15f zenon_H15d zenon_H172 zenon_H1de zenon_H1a8 zenon_H64 zenon_H11e zenon_Hf zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd7 zenon_Hd9. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.12 apply (zenon_L56_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.12 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.12 apply (zenon_L487_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.12 apply (zenon_L119_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.12 apply (zenon_L489_); trivial. % 0.90/1.12 apply (zenon_L267_); trivial. % 0.90/1.12 apply (zenon_L479_); trivial. % 0.90/1.12 apply (zenon_L490_); trivial. % 0.90/1.12 apply (zenon_L491_); trivial. % 0.90/1.12 apply (zenon_L484_); trivial. % 0.90/1.12 (* end of lemma zenon_L492_ *) % 0.90/1.12 assert (zenon_L493_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H278 zenon_Hf zenon_H13b zenon_Hcc zenon_Hcd. % 0.90/1.12 generalize (zenon_H278 (a1216)). zenon_intro zenon_H296. % 0.90/1.12 apply (zenon_imply_s _ _ zenon_H296); [ zenon_intro zenon_He | zenon_intro zenon_H297 ]. % 0.90/1.12 exact (zenon_He zenon_Hf). % 0.90/1.12 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H21d | zenon_intro zenon_H298 ]. % 0.90/1.12 generalize (zenon_H13b (a1216)). zenon_intro zenon_H299. % 0.90/1.12 apply (zenon_imply_s _ _ zenon_H299); [ zenon_intro zenon_He | zenon_intro zenon_H29a ]. % 0.90/1.12 exact (zenon_He zenon_Hf). % 0.90/1.12 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H29b ]. % 0.90/1.12 exact (zenon_Hcc zenon_Hd2). % 0.90/1.12 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H221 ]. % 0.90/1.12 exact (zenon_Hcd zenon_Hd4). % 0.90/1.12 exact (zenon_H221 zenon_H21d). % 0.90/1.12 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd4 ]. % 0.90/1.12 exact (zenon_Hcc zenon_Hd2). % 0.90/1.12 exact (zenon_Hcd zenon_Hd4). % 0.90/1.12 (* end of lemma zenon_L493_ *) % 0.90/1.12 assert (zenon_L494_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(hskp10)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c0_1 (a1204)) -> (ndr1_0) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp27)) -> False). % 0.90/1.12 do 0 intro. intros zenon_H1ec zenon_H24 zenon_H163 zenon_H164 zenon_H16b zenon_H27 zenon_H1c zenon_H1d zenon_H7f zenon_H1b zenon_Hf zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H1c8. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.12 apply (zenon_L105_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.12 apply (zenon_L178_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.12 apply (zenon_L38_); trivial. % 0.90/1.12 apply (zenon_L45_); trivial. % 0.90/1.12 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.12 (* end of lemma zenon_L494_ *) % 0.90/1.12 assert (zenon_L495_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(hskp10)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> (c0_1 (a1204)) -> (ndr1_0) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp27)) -> False). % 0.90/1.12 do 0 intro. intros zenon_H293 zenon_H27b zenon_H27a zenon_H279 zenon_H22a zenon_H229 zenon_H228 zenon_H282 zenon_Hcd zenon_Hcc zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1ec zenon_H24 zenon_H163 zenon_H164 zenon_H16b zenon_H27 zenon_H1c zenon_H1d zenon_H1b zenon_Hf zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H1c8. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H278 | zenon_intro zenon_H294 ]. % 0.90/1.12 apply (zenon_L451_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H65 | zenon_intro zenon_H13b ]. % 0.90/1.12 apply (zenon_L228_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.90/1.12 apply (zenon_L493_); trivial. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 0.90/1.12 apply (zenon_L50_); trivial. % 0.90/1.12 apply (zenon_L494_); trivial. % 0.90/1.12 (* end of lemma zenon_L495_ *) % 0.90/1.12 assert (zenon_L496_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp26)) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H1de zenon_H180 zenon_H217 zenon_H32 zenon_H135 zenon_H1df zenon_Hf zenon_H279 zenon_H27a zenon_H27b zenon_H228 zenon_H229 zenon_H22a zenon_H282 zenon_H27 zenon_H24 zenon_H1d zenon_H1c zenon_H1b zenon_H16b zenon_H164 zenon_H163 zenon_Ha9 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hcd zenon_Hcc zenon_H293. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.12 apply (zenon_L495_); trivial. % 0.90/1.12 apply (zenon_L296_); trivial. % 0.90/1.12 (* end of lemma zenon_L496_ *) % 0.90/1.12 assert (zenon_L497_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((hskp25)\/(hskp21)) -> (~(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.12 do 0 intro. intros zenon_H159 zenon_Hb zenon_Hc zenon_H1de zenon_H180 zenon_H217 zenon_H1df zenon_H279 zenon_H27a zenon_H27b zenon_H228 zenon_H229 zenon_H22a zenon_H282 zenon_H27 zenon_H24 zenon_H16b zenon_H164 zenon_H163 zenon_Ha9 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hcd zenon_Hcc zenon_H293 zenon_H50 zenon_H2b. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.12 apply (zenon_L6_); trivial. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.12 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.12 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.12 apply (zenon_L496_); trivial. % 0.90/1.12 apply (zenon_L235_); trivial. % 0.90/1.12 apply (zenon_L479_); trivial. % 0.90/1.12 (* end of lemma zenon_L497_ *) % 0.90/1.12 assert (zenon_L498_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c3_1 (a1261))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H26 zenon_H1de zenon_H180 zenon_H217 zenon_H19c zenon_H19d zenon_H19e zenon_H172 zenon_H279 zenon_H27a zenon_H27b zenon_H228 zenon_H229 zenon_H22a zenon_H282 zenon_H27 zenon_H24 zenon_H16b zenon_H164 zenon_H163 zenon_Ha9 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hcd zenon_Hcc zenon_H293. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.13 apply (zenon_L495_); trivial. % 0.90/1.13 apply (zenon_L265_); trivial. % 0.90/1.13 (* end of lemma zenon_L498_ *) % 0.90/1.13 assert (zenon_L499_ : (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37)))))) -> (ndr1_0) -> (~(c2_1 (a1228))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c0_1 (a1228)) -> (c3_1 (a1228)) -> False). % 0.90/1.13 do 0 intro. intros zenon_H91 zenon_Hf zenon_Hf6 zenon_H7f zenon_Hf4 zenon_Hf7. % 0.90/1.13 generalize (zenon_H91 (a1228)). zenon_intro zenon_H29c. % 0.90/1.13 apply (zenon_imply_s _ _ zenon_H29c); [ zenon_intro zenon_He | zenon_intro zenon_H29d ]. % 0.90/1.13 exact (zenon_He zenon_Hf). % 0.90/1.13 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H102 | zenon_intro zenon_Hfa ]. % 0.90/1.13 exact (zenon_Hf6 zenon_H102). % 0.90/1.13 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hfd | zenon_intro zenon_Hfc ]. % 0.90/1.13 generalize (zenon_H7f (a1228)). zenon_intro zenon_H29e. % 0.90/1.13 apply (zenon_imply_s _ _ zenon_H29e); [ zenon_intro zenon_He | zenon_intro zenon_H29f ]. % 0.90/1.13 exact (zenon_He zenon_Hf). % 0.90/1.13 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H101 | zenon_intro zenon_H126 ]. % 0.90/1.13 exact (zenon_Hfd zenon_H101). % 0.90/1.13 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ]. % 0.90/1.13 exact (zenon_Hfb zenon_Hf4). % 0.90/1.13 exact (zenon_Hfc zenon_Hf7). % 0.90/1.13 exact (zenon_Hfc zenon_Hf7). % 0.90/1.13 (* end of lemma zenon_L499_ *) % 0.90/1.13 assert (zenon_L500_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp10)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (ndr1_0) -> (c0_1 (a1204)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> False). % 0.90/1.13 do 0 intro. intros zenon_Ha9 zenon_H24 zenon_H92 zenon_H94 zenon_H93 zenon_H27 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_Hf zenon_H1b zenon_H7f zenon_H1d zenon_H1c. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.13 apply (zenon_L179_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.13 apply (zenon_L499_); trivial. % 0.90/1.13 apply (zenon_L45_); trivial. % 0.90/1.13 (* end of lemma zenon_L500_ *) % 0.90/1.13 assert (zenon_L501_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp10)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H26 zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Ha9 zenon_H24 zenon_H92 zenon_H94 zenon_H93 zenon_H27 zenon_Hf7 zenon_Hf4 zenon_Hf6. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.90/1.13 apply (zenon_L451_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 0.90/1.13 apply (zenon_L50_); trivial. % 0.90/1.13 apply (zenon_L500_); trivial. % 0.90/1.13 (* end of lemma zenon_L501_ *) % 0.90/1.13 assert (zenon_L502_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> (~(c2_1 (a1228))) -> (c0_1 (a1228)) -> (c3_1 (a1228)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> (~(hskp22)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H2b zenon_H282 zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_Hf6 zenon_Hf4 zenon_Hf7 zenon_Ha9 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H36 zenon_H34 zenon_Hd5 zenon_H2c zenon_H112 zenon_H50. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.13 apply (zenon_L75_); trivial. % 0.90/1.13 apply (zenon_L501_); trivial. % 0.90/1.13 (* end of lemma zenon_L502_ *) % 0.90/1.13 assert (zenon_L503_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H61 zenon_H4d zenon_H50 zenon_H112 zenon_Hd5 zenon_H34 zenon_H36 zenon_H279 zenon_H27a zenon_H27b zenon_Hbc zenon_Hbd zenon_Hbe zenon_Ha9 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H282 zenon_H2b. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.13 apply (zenon_L502_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.13 apply (zenon_L22_); trivial. % 0.90/1.13 apply (zenon_L501_); trivial. % 0.90/1.13 (* end of lemma zenon_L503_ *) % 0.90/1.13 assert (zenon_L504_ : ((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H129 zenon_Hf2 zenon_H127 zenon_H3 zenon_H2b zenon_H282 zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_Ha9 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H36 zenon_H34 zenon_H112 zenon_H50 zenon_H4d zenon_H61. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.13 apply (zenon_L503_); trivial. % 0.90/1.13 apply (zenon_L85_); trivial. % 0.90/1.13 (* end of lemma zenon_L504_ *) % 0.90/1.13 assert (zenon_L505_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((hskp25)\/(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H130 zenon_H134 zenon_H7b zenon_H22a zenon_H229 zenon_H228 zenon_Hf2 zenon_Hb4 zenon_H189 zenon_H1bd zenon_H1f1 zenon_H1f3 zenon_Hb zenon_H1de zenon_H180 zenon_H217 zenon_H1df zenon_H282 zenon_H27 zenon_Ha9 zenon_H1ec zenon_H50 zenon_H2b zenon_H19a zenon_H172 zenon_H15d zenon_H15f zenon_H9d zenon_H5b zenon_H34 zenon_H36 zenon_H1a8 zenon_H64 zenon_H139 zenon_H279 zenon_H27a zenon_H27b zenon_H293 zenon_H159 zenon_H11e zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd9 zenon_H61 zenon_H4d zenon_H112 zenon_H3 zenon_H127 zenon_H12c zenon_Hba. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.13 apply (zenon_L229_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.13 apply (zenon_L56_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.13 apply (zenon_L480_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.13 apply (zenon_L497_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.13 apply (zenon_L119_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.13 apply (zenon_L489_); trivial. % 0.90/1.13 apply (zenon_L498_); trivial. % 0.90/1.13 apply (zenon_L490_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.13 apply (zenon_L480_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.13 apply (zenon_L497_); trivial. % 0.90/1.13 apply (zenon_L170_); trivial. % 0.90/1.13 apply (zenon_L456_); trivial. % 0.90/1.13 apply (zenon_L504_); trivial. % 0.90/1.13 apply (zenon_L485_); trivial. % 0.90/1.13 (* end of lemma zenon_L505_ *) % 0.90/1.13 assert (zenon_L506_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1250)) -> (c3_1 (a1250)) -> (~(c0_1 (a1250))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (~(c3_1 (a1215))) -> (ndr1_0) -> (c0_1 (a1214)) -> (c1_1 (a1214)) -> (c3_1 (a1214)) -> False). % 0.90/1.13 do 0 intro. intros zenon_H254 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H150 zenon_H148 zenon_H145 zenon_H147 zenon_Hf zenon_H177 zenon_H178 zenon_H179. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H51 | zenon_intro zenon_H255 ]. % 0.90/1.13 apply (zenon_L274_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H14f | zenon_intro zenon_Hf3 ]. % 0.90/1.13 apply (zenon_L97_); trivial. % 0.90/1.13 apply (zenon_L109_); trivial. % 0.90/1.13 (* end of lemma zenon_L506_ *) % 0.90/1.13 assert (zenon_L507_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> (~(c0_1 (a1250))) -> (c3_1 (a1250)) -> (c2_1 (a1250)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H26 zenon_H50 zenon_Ha9 zenon_H1df zenon_H135 zenon_H279 zenon_H27a zenon_H27b zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_H254 zenon_H150 zenon_H148 zenon_H147 zenon_H228 zenon_H229 zenon_H22a zenon_H1aa zenon_H1ab zenon_H1ac zenon_H217 zenon_H28e zenon_H180. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.13 apply (zenon_L154_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.13 apply (zenon_L451_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.13 apply (zenon_L179_); trivial. % 0.90/1.13 apply (zenon_L506_); trivial. % 0.90/1.13 apply (zenon_L235_); trivial. % 0.90/1.13 (* end of lemma zenon_L507_ *) % 0.90/1.13 assert (zenon_L508_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H186 zenon_H1bd zenon_H64 zenon_H159 zenon_H293 zenon_H50 zenon_H28e zenon_Ha9 zenon_H157 zenon_H89 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H92 zenon_H93 zenon_H94 zenon_H9b zenon_H9d zenon_H254 zenon_H27b zenon_H27a zenon_H279 zenon_H34 zenon_H36 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1df zenon_Hb zenon_H24 zenon_H27 zenon_H2b zenon_H19a zenon_H103 zenon_H172 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H1a8. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.13 apply (zenon_L123_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.13 apply (zenon_L111_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.13 apply (zenon_L18_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.13 apply (zenon_L451_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H51 | zenon_intro zenon_H255 ]. % 0.90/1.13 apply (zenon_L23_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H14f | zenon_intro zenon_Hf3 ]. % 0.90/1.13 apply (zenon_L412_); trivial. % 0.90/1.13 apply (zenon_L188_); trivial. % 0.90/1.13 apply (zenon_L474_); trivial. % 0.90/1.13 apply (zenon_L507_); trivial. % 0.90/1.13 apply (zenon_L479_); trivial. % 0.90/1.13 (* end of lemma zenon_L508_ *) % 0.90/1.13 assert (zenon_L509_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp25)\/(hskp21)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H11e zenon_H15f zenon_H15d zenon_H159 zenon_H293 zenon_H22a zenon_H229 zenon_H228 zenon_H27b zenon_H27a zenon_H279 zenon_H9b zenon_H139 zenon_H1a8 zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H172 zenon_H19a zenon_H2b zenon_H27 zenon_H24 zenon_Hb zenon_H1df zenon_H217 zenon_H36 zenon_H34 zenon_H254 zenon_H9d zenon_H94 zenon_H93 zenon_H92 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H89 zenon_H157 zenon_Ha9 zenon_H28e zenon_H50 zenon_H64 zenon_H1bd zenon_H189. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.13 apply (zenon_L480_); trivial. % 0.90/1.13 apply (zenon_L508_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.13 apply (zenon_L480_); trivial. % 0.90/1.13 apply (zenon_L171_); trivial. % 0.90/1.13 (* end of lemma zenon_L509_ *) % 0.90/1.13 assert (zenon_L510_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (c0_1 (a1208)) -> (c1_1 (a1208)) -> (c2_1 (a1208)) -> False). % 0.90/1.13 do 0 intro. intros zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H243 zenon_H242 zenon_H241 zenon_H145 zenon_Hf zenon_H43 zenon_H44 zenon_H45. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.13 apply (zenon_L41_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.13 apply (zenon_L321_); trivial. % 0.90/1.13 apply (zenon_L20_); trivial. % 0.90/1.13 (* end of lemma zenon_L510_ *) % 0.90/1.13 assert (zenon_L511_ : ((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H4c zenon_H28e zenon_H27b zenon_H27a zenon_H279 zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H243 zenon_H242 zenon_H241. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.13 apply (zenon_L451_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.13 apply (zenon_L41_); trivial. % 0.90/1.13 apply (zenon_L510_); trivial. % 0.90/1.13 (* end of lemma zenon_L511_ *) % 0.90/1.13 assert (zenon_L512_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp25)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H50 zenon_H28e zenon_H241 zenon_H242 zenon_H243 zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H27b zenon_H27a zenon_H279 zenon_H9 zenon_H34 zenon_H36. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.13 apply (zenon_L18_); trivial. % 0.90/1.13 apply (zenon_L511_); trivial. % 0.90/1.13 (* end of lemma zenon_L512_ *) % 0.90/1.13 assert (zenon_L513_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 0.90/1.13 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_H2b zenon_H89 zenon_H8c zenon_H36 zenon_H34 zenon_H279 zenon_H27a zenon_H27b zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H28e zenon_H50 zenon_H67 zenon_H68 zenon_H69 zenon_H9d. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.13 apply (zenon_L40_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.13 apply (zenon_L512_); trivial. % 0.90/1.13 apply (zenon_L47_); trivial. % 0.90/1.13 (* end of lemma zenon_L513_ *) % 0.90/1.13 assert (zenon_L514_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H2b zenon_H36 zenon_H34 zenon_H279 zenon_H27a zenon_H27b zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H28e zenon_H50 zenon_H9d zenon_H7b zenon_H5 zenon_H77 zenon_H89 zenon_H8c zenon_H90. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.13 apply (zenon_L37_); trivial. % 0.90/1.13 apply (zenon_L513_); trivial. % 0.90/1.13 (* end of lemma zenon_L514_ *) % 0.90/1.13 assert (zenon_L515_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (c0_1 (a1204)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> False). % 0.90/1.13 do 0 intro. intros zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H243 zenon_H242 zenon_H241 zenon_H145 zenon_Hf zenon_H1b zenon_H7f zenon_H1d zenon_H1c. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.13 apply (zenon_L41_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.13 apply (zenon_L321_); trivial. % 0.90/1.13 apply (zenon_L45_); trivial. % 0.90/1.13 (* end of lemma zenon_L515_ *) % 0.90/1.13 assert (zenon_L516_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H26 zenon_H28e zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H243 zenon_H242 zenon_H241. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.13 apply (zenon_L451_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.13 apply (zenon_L41_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.90/1.13 apply (zenon_L451_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 0.90/1.13 apply (zenon_L50_); trivial. % 0.90/1.13 apply (zenon_L515_); trivial. % 0.90/1.13 (* end of lemma zenon_L516_ *) % 0.90/1.13 assert (zenon_L517_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.90/1.13 do 0 intro. intros zenon_H2b zenon_H28e zenon_Hbc zenon_Hbd zenon_Hbe zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H282 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H27b zenon_H27a zenon_H279 zenon_Hc zenon_Hb. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.13 apply (zenon_L6_); trivial. % 0.90/1.13 apply (zenon_L516_); trivial. % 0.90/1.13 (* end of lemma zenon_L517_ *) % 0.90/1.13 assert (zenon_L518_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp6)) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((hskp25)\/(hskp21)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_Hb7 zenon_H64 zenon_H61 zenon_H5b zenon_H36 zenon_H34 zenon_H4d zenon_H50 zenon_H3 zenon_H2e zenon_H30 zenon_Hb zenon_H279 zenon_H27a zenon_H27b zenon_H282 zenon_H241 zenon_H242 zenon_H243 zenon_Ha9 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H28e zenon_H2b. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.13 apply (zenon_L517_); trivial. % 0.90/1.13 apply (zenon_L26_); trivial. % 0.90/1.13 (* end of lemma zenon_L518_ *) % 0.90/1.13 assert (zenon_L519_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp6)) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((hskp25)\/(hskp21)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 0.90/1.13 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_H64 zenon_H61 zenon_H5b zenon_H36 zenon_H34 zenon_H4d zenon_H50 zenon_H3 zenon_H2e zenon_H30 zenon_Hb zenon_H279 zenon_H27a zenon_H27b zenon_H282 zenon_H241 zenon_H242 zenon_H243 zenon_Ha9 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H28e zenon_H2b zenon_H67 zenon_H68 zenon_H69 zenon_H9d. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.13 apply (zenon_L40_); trivial. % 0.90/1.13 apply (zenon_L518_); trivial. % 0.90/1.13 (* end of lemma zenon_L519_ *) % 0.90/1.13 assert (zenon_L520_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((hskp25)\/(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H133 zenon_H282 zenon_Hca zenon_H64 zenon_H61 zenon_H5b zenon_H36 zenon_H34 zenon_H4d zenon_H50 zenon_H2e zenon_H30 zenon_Hb zenon_H27 zenon_H2b zenon_H3 zenon_H5 zenon_H7 zenon_H90 zenon_H8c zenon_H77 zenon_H7b zenon_H9d zenon_H28e zenon_H241 zenon_H242 zenon_H243 zenon_Ha9 zenon_H27b zenon_H27a zenon_H279 zenon_Hb4 zenon_Hba zenon_H134. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.13 apply (zenon_L309_); trivial. % 0.90/1.13 apply (zenon_L514_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.13 apply (zenon_L309_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.13 apply (zenon_L453_); trivial. % 0.90/1.13 apply (zenon_L519_); trivial. % 0.90/1.13 (* end of lemma zenon_L520_ *) % 0.90/1.13 assert (zenon_L521_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (c0_1 (a1229)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a1229))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp5)) -> False). % 0.90/1.13 do 0 intro. intros zenon_H77 zenon_Hdc zenon_H7f zenon_Hdb zenon_Hf zenon_H75 zenon_H5. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H66 | zenon_intro zenon_H78 ]. % 0.90/1.13 apply (zenon_L60_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H76 | zenon_intro zenon_H6 ]. % 0.90/1.13 exact (zenon_H75 zenon_H76). % 0.90/1.13 exact (zenon_H5 zenon_H6). % 0.90/1.13 (* end of lemma zenon_L521_ *) % 0.90/1.13 assert (zenon_L522_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_Hef zenon_H90 zenon_H279 zenon_H27a zenon_H27b zenon_Hbc zenon_Hbd zenon_Hbe zenon_H77 zenon_H5 zenon_H282. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.90/1.13 apply (zenon_L451_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 0.90/1.13 apply (zenon_L50_); trivial. % 0.90/1.13 apply (zenon_L521_); trivial. % 0.90/1.13 apply (zenon_L452_); trivial. % 0.90/1.13 (* end of lemma zenon_L522_ *) % 0.90/1.13 assert (zenon_L523_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (ndr1_0) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> False). % 0.90/1.13 do 0 intro. intros zenon_Hf2 zenon_H90 zenon_H279 zenon_H27a zenon_H27b zenon_Hbc zenon_Hbd zenon_Hbe zenon_H77 zenon_H5 zenon_H282 zenon_Hf zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd7 zenon_Hd9. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.13 apply (zenon_L56_); trivial. % 0.90/1.13 apply (zenon_L522_); trivial. % 0.90/1.13 (* end of lemma zenon_L523_ *) % 0.90/1.13 assert (zenon_L524_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H11b zenon_H2b zenon_H27 zenon_H24 zenon_H13 zenon_H12 zenon_H11 zenon_H241 zenon_H242 zenon_H243 zenon_H24a. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.13 apply (zenon_L315_); trivial. % 0.90/1.13 apply (zenon_L11_); trivial. % 0.90/1.13 (* end of lemma zenon_L524_ *) % 0.90/1.13 assert (zenon_L525_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> False). % 0.90/1.13 do 0 intro. intros zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H243 zenon_H242 zenon_H241 zenon_Hf zenon_H145 zenon_H147 zenon_H148 zenon_H150. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.13 apply (zenon_L41_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.13 apply (zenon_L321_); trivial. % 0.90/1.13 apply (zenon_L149_); trivial. % 0.90/1.13 (* end of lemma zenon_L525_ *) % 0.90/1.13 assert (zenon_L526_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> False). % 0.90/1.13 do 0 intro. intros zenon_Hb7 zenon_H28e zenon_H27b zenon_H27a zenon_H279 zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H147 zenon_H148 zenon_H150. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.13 apply (zenon_L451_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.13 apply (zenon_L41_); trivial. % 0.90/1.13 apply (zenon_L525_); trivial. % 0.90/1.13 (* end of lemma zenon_L526_ *) % 0.90/1.13 assert (zenon_L527_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.13 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H2b zenon_H89 zenon_H8c zenon_H36 zenon_H34 zenon_H279 zenon_H27a zenon_H27b zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H28e zenon_H50 zenon_H9d zenon_H228 zenon_H229 zenon_H22a zenon_H7b. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.13 apply (zenon_L229_); trivial. % 0.90/1.13 apply (zenon_L513_); trivial. % 0.90/1.13 (* end of lemma zenon_L527_ *) % 0.90/1.13 assert (zenon_L528_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> (forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26)))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (c3_1 (a1214)) -> (c0_1 (a1214)) -> (c1_1 (a1214)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.90/1.13 do 0 intro. intros zenon_Ha9 zenon_H93 zenon_H94 zenon_H92 zenon_H10 zenon_H243 zenon_H242 zenon_H241 zenon_H145 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H127 zenon_H1c zenon_H1b zenon_H179 zenon_H177 zenon_H178 zenon_Hf zenon_H3. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.13 apply (zenon_L178_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.13 apply (zenon_L321_); trivial. % 0.90/1.13 apply (zenon_L233_); trivial. % 0.90/1.13 (* end of lemma zenon_L528_ *) % 0.90/1.13 assert (zenon_L529_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(hskp26)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c0_1 (a1261))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H1de zenon_H1df zenon_H135 zenon_H32 zenon_H279 zenon_H27a zenon_H27b zenon_H27 zenon_H24 zenon_H1d zenon_H1c zenon_H1b zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H241 zenon_H242 zenon_H243 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H19e zenon_H19d zenon_H19c zenon_H28e zenon_H180. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.13 apply (zenon_L154_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.13 apply (zenon_L451_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.13 apply (zenon_L179_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.13 apply (zenon_L120_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.13 apply (zenon_L528_); trivial. % 0.90/1.13 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.13 apply (zenon_L296_); trivial. % 0.90/1.13 (* end of lemma zenon_L529_ *) % 0.90/1.13 assert (zenon_L530_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c3_1 (a1261))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H26 zenon_H50 zenon_H180 zenon_H28e zenon_H19c zenon_H19d zenon_H19e zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H243 zenon_H242 zenon_H241 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H27b zenon_H27a zenon_H279 zenon_H135 zenon_H1df zenon_H1de. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.13 apply (zenon_L529_); trivial. % 0.90/1.13 apply (zenon_L235_); trivial. % 0.90/1.13 (* end of lemma zenon_L530_ *) % 0.90/1.13 assert (zenon_L531_ : ((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((hskp25)\/(hskp21)) -> (~(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H1a5 zenon_H159 zenon_H293 zenon_Hb zenon_Hc zenon_H1de zenon_H1df zenon_H279 zenon_H27a zenon_H27b zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H241 zenon_H242 zenon_H243 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H28e zenon_H180 zenon_H50 zenon_H2b. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.13 apply (zenon_L6_); trivial. % 0.90/1.13 apply (zenon_L530_); trivial. % 0.90/1.13 apply (zenon_L479_); trivial. % 0.90/1.13 (* end of lemma zenon_L531_ *) % 0.90/1.13 assert (zenon_L532_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((hskp25)\/(hskp21)) -> (~(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp16)) -> (~(hskp20)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H1a8 zenon_H159 zenon_H293 zenon_Hb zenon_Hc zenon_H1de zenon_H1df zenon_H279 zenon_H27a zenon_H27b zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H241 zenon_H242 zenon_H243 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H28e zenon_H180 zenon_H50 zenon_H2b zenon_H103 zenon_H196 zenon_H19a. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.13 apply (zenon_L119_); trivial. % 0.90/1.13 apply (zenon_L531_); trivial. % 0.90/1.13 (* end of lemma zenon_L532_ *) % 0.90/1.13 assert (zenon_L533_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp10)) -> (c3_1 (a1204)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (c3_1 (a1214)) -> (c0_1 (a1214)) -> (c1_1 (a1214)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.90/1.13 do 0 intro. intros zenon_Ha9 zenon_H24 zenon_H1d zenon_H92 zenon_H94 zenon_H93 zenon_H27 zenon_Hce zenon_Hcd zenon_H161 zenon_H109 zenon_H10a zenon_H10b zenon_H241 zenon_H242 zenon_H243 zenon_H222 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H127 zenon_H1c zenon_H1b zenon_H179 zenon_H177 zenon_H178 zenon_Hf zenon_H3. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.13 apply (zenon_L179_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.13 apply (zenon_L365_); trivial. % 0.90/1.13 apply (zenon_L233_); trivial. % 0.90/1.13 (* end of lemma zenon_L533_ *) % 0.90/1.13 assert (zenon_L534_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c3_1 (a1204)) -> (~(hskp10)) -> (~(hskp6)) -> (ndr1_0) -> (c1_1 (a1214)) -> (c0_1 (a1214)) -> (c3_1 (a1214)) -> (c0_1 (a1204)) -> (c2_1 (a1204)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp27)) -> False). % 0.90/1.13 do 0 intro. intros zenon_H1ec zenon_H222 zenon_H10b zenon_H10a zenon_H109 zenon_Hcd zenon_Hce zenon_H27 zenon_H1d zenon_H24 zenon_H3 zenon_Hf zenon_H178 zenon_H177 zenon_H179 zenon_H1b zenon_H1c zenon_H127 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H145 zenon_H241 zenon_H242 zenon_H243 zenon_H92 zenon_H94 zenon_H93 zenon_Ha9 zenon_H1c8. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.13 apply (zenon_L533_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.13 apply (zenon_L528_); trivial. % 0.90/1.13 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.13 (* end of lemma zenon_L534_ *) % 0.90/1.13 assert (zenon_L535_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H11b zenon_H159 zenon_H293 zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_H1de zenon_H1df zenon_H279 zenon_H27a zenon_H27b zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H222 zenon_Hce zenon_Hcd zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H28e zenon_H180 zenon_H50 zenon_H2b. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.13 apply (zenon_L315_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.13 apply (zenon_L154_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.13 apply (zenon_L451_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.13 apply (zenon_L179_); trivial. % 0.90/1.13 apply (zenon_L534_); trivial. % 0.90/1.13 apply (zenon_L296_); trivial. % 0.90/1.13 apply (zenon_L235_); trivial. % 0.90/1.13 apply (zenon_L479_); trivial. % 0.90/1.13 (* end of lemma zenon_L535_ *) % 0.90/1.13 assert (zenon_L536_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp25)\/(hskp21)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H11e zenon_H24a zenon_H222 zenon_Hce zenon_Hcd zenon_H64 zenon_H61 zenon_H5b zenon_H4d zenon_H36 zenon_H34 zenon_Hd5 zenon_H112 zenon_H19a zenon_H2b zenon_H50 zenon_H180 zenon_H28e zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H243 zenon_H242 zenon_H241 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H27b zenon_H27a zenon_H279 zenon_H1df zenon_H1de zenon_Hb zenon_H293 zenon_H159 zenon_H1a8 zenon_H1f3 zenon_H1f1 zenon_H1bd. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.13 apply (zenon_L532_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.13 apply (zenon_L119_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.13 apply (zenon_L75_); trivial. % 0.90/1.13 apply (zenon_L530_); trivial. % 0.90/1.13 apply (zenon_L479_); trivial. % 0.90/1.13 apply (zenon_L25_); trivial. % 0.90/1.13 apply (zenon_L490_); trivial. % 0.90/1.13 apply (zenon_L535_); trivial. % 0.90/1.13 (* end of lemma zenon_L536_ *) % 0.90/1.13 assert (zenon_L537_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(hskp25)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp10)) -> (c2_1 (a1229)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (~(hskp9)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a1224))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.90/1.13 do 0 intro. intros zenon_H1ec zenon_H9 zenon_H8c zenon_H24 zenon_Hdd zenon_H163 zenon_H164 zenon_H16b zenon_H27 zenon_Hdc zenon_Hdb zenon_H89 zenon_H241 zenon_H242 zenon_H243 zenon_H24a zenon_H93 zenon_H94 zenon_H9f zenon_H92 zenon_Hf zenon_H1c8. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.13 apply (zenon_L329_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.13 apply (zenon_L178_); trivial. % 0.90/1.13 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.13 (* end of lemma zenon_L537_ *) % 0.90/1.13 assert (zenon_L538_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a1229))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (~(hskp14)) -> False). % 0.90/1.13 do 0 intro. intros zenon_H9d zenon_Hdd zenon_Hdc zenon_H7f zenon_Hdb zenon_H243 zenon_H242 zenon_H241 zenon_Hf zenon_H145 zenon_H9b. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H7c | zenon_intro zenon_H9e ]. % 0.90/1.13 generalize (zenon_H7c (a1229)). zenon_intro zenon_Hde. % 0.90/1.13 apply (zenon_imply_s _ _ zenon_Hde); [ zenon_intro zenon_He | zenon_intro zenon_Hdf ]. % 0.90/1.13 exact (zenon_He zenon_Hf). % 0.90/1.13 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_He1 | zenon_intro zenon_He0 ]. % 0.90/1.13 exact (zenon_Hdb zenon_He1). % 0.90/1.13 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 0.90/1.13 apply (zenon_L59_); trivial. % 0.90/1.13 exact (zenon_He2 zenon_Hdd). % 0.90/1.13 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H91 | zenon_intro zenon_H9c ]. % 0.90/1.13 apply (zenon_L321_); trivial. % 0.90/1.13 exact (zenon_H9b zenon_H9c). % 0.90/1.13 (* end of lemma zenon_L538_ *) % 0.90/1.13 assert (zenon_L539_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(hskp14)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(hskp9)) -> False). % 0.90/1.13 do 0 intro. intros zenon_H8c zenon_H1a zenon_H9b zenon_H145 zenon_Hf zenon_H241 zenon_H242 zenon_H243 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H9d zenon_H89. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.90/1.13 apply (zenon_L57_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.90/1.13 apply (zenon_L538_); trivial. % 0.90/1.13 exact (zenon_H89 zenon_H8a). % 0.90/1.13 (* end of lemma zenon_L539_ *) % 0.90/1.13 assert (zenon_L540_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp25)\/(hskp21)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H11e zenon_H222 zenon_H159 zenon_H293 zenon_H22a zenon_H229 zenon_H228 zenon_H27b zenon_H27a zenon_H279 zenon_H9b zenon_H139 zenon_H64 zenon_H172 zenon_H8c zenon_H89 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H24a zenon_H5b zenon_H9d zenon_Hcd zenon_Hce zenon_H34 zenon_H36 zenon_H19a zenon_H2b zenon_H50 zenon_H180 zenon_H28e zenon_Ha9 zenon_H127 zenon_H3 zenon_H217 zenon_H243 zenon_H242 zenon_H241 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H1df zenon_H1de zenon_Hb zenon_H1a8 zenon_H1f3 zenon_H1f1 zenon_H1bd zenon_H189. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.13 apply (zenon_L480_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.13 apply (zenon_L532_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.13 apply (zenon_L119_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.13 apply (zenon_L18_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.13 apply (zenon_L451_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.13 apply (zenon_L537_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.90/1.13 apply (zenon_L23_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.90/1.13 apply (zenon_L254_); trivial. % 0.90/1.13 apply (zenon_L539_); trivial. % 0.90/1.13 apply (zenon_L265_); trivial. % 0.90/1.13 apply (zenon_L530_); trivial. % 0.90/1.13 apply (zenon_L479_); trivial. % 0.90/1.13 apply (zenon_L490_); trivial. % 0.90/1.13 apply (zenon_L535_); trivial. % 0.90/1.13 (* end of lemma zenon_L540_ *) % 0.90/1.13 assert (zenon_L541_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c3_1 (a1261))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H26 zenon_H50 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H180 zenon_H28e zenon_H19c zenon_H19d zenon_H19e zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H217 zenon_H243 zenon_H242 zenon_H241 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H27b zenon_H27a zenon_H279 zenon_H135 zenon_H1df zenon_H1de. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.13 apply (zenon_L529_); trivial. % 0.90/1.13 apply (zenon_L511_); trivial. % 0.90/1.13 (* end of lemma zenon_L541_ *) % 0.90/1.13 assert (zenon_L542_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp16)) -> (~(hskp20)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H1a8 zenon_H159 zenon_H293 zenon_H50 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H34 zenon_H36 zenon_H1de zenon_H1df zenon_H279 zenon_H27a zenon_H27b zenon_H27 zenon_H24 zenon_H1ec zenon_H241 zenon_H242 zenon_H243 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_H28e zenon_H180 zenon_H2b zenon_H103 zenon_H196 zenon_H19a. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.13 apply (zenon_L119_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.13 apply (zenon_L43_); trivial. % 0.90/1.13 apply (zenon_L541_); trivial. % 0.90/1.13 apply (zenon_L479_); trivial. % 0.90/1.13 (* end of lemma zenon_L542_ *) % 0.90/1.13 assert (zenon_L543_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H11b zenon_H159 zenon_H293 zenon_H50 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H34 zenon_H36 zenon_H1de zenon_H211 zenon_H1f1 zenon_H1df zenon_H279 zenon_H27a zenon_H27b zenon_H1ec zenon_H27 zenon_H24 zenon_H222 zenon_Hce zenon_Hcd zenon_H243 zenon_H242 zenon_H241 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_H28e zenon_H180 zenon_H2b. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.13 apply (zenon_L43_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.13 apply (zenon_L154_); trivial. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.13 apply (zenon_L451_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.13 apply (zenon_L41_); trivial. % 0.90/1.13 apply (zenon_L534_); trivial. % 0.90/1.13 apply (zenon_L241_); trivial. % 0.90/1.13 apply (zenon_L235_); trivial. % 0.90/1.13 apply (zenon_L479_); trivial. % 0.90/1.13 (* end of lemma zenon_L543_ *) % 0.90/1.13 assert (zenon_L544_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((hskp25)\/(hskp21)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_Hb7 zenon_H11e zenon_H211 zenon_H222 zenon_Hce zenon_Hcd zenon_H1a8 zenon_H159 zenon_H293 zenon_H50 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_H34 zenon_H36 zenon_H1de zenon_H1df zenon_H279 zenon_H27a zenon_H27b zenon_H27 zenon_H24 zenon_H1ec zenon_H241 zenon_H242 zenon_H243 zenon_H217 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_H28e zenon_H180 zenon_H2b zenon_H19a zenon_Hb zenon_H1f3 zenon_H1f1 zenon_H64 zenon_H1bd. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.13 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.13 apply (zenon_L542_); trivial. % 0.90/1.13 apply (zenon_L490_); trivial. % 0.90/1.13 apply (zenon_L543_); trivial. % 0.90/1.13 (* end of lemma zenon_L544_ *) % 0.90/1.13 assert (zenon_L545_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (c0_1 (a1229)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a1229))) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.90/1.13 do 0 intro. intros zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_Hdc zenon_H7f zenon_Hdb zenon_Hf zenon_H9. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H240 | zenon_intro zenon_H24b ]. % 0.90/1.13 apply (zenon_L314_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H66 | zenon_intro zenon_Ha ]. % 0.90/1.13 apply (zenon_L60_); trivial. % 0.90/1.13 exact (zenon_H9 zenon_Ha). % 0.90/1.13 (* end of lemma zenon_L545_ *) % 0.90/1.13 assert (zenon_L546_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.90/1.13 do 0 intro. intros zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_Hdc zenon_Hdb zenon_Hf zenon_H9. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.90/1.13 apply (zenon_L451_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 0.90/1.13 apply (zenon_L50_); trivial. % 0.90/1.13 apply (zenon_L545_); trivial. % 0.90/1.13 (* end of lemma zenon_L546_ *) % 0.90/1.13 assert (zenon_L547_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c0_1 (a1204)) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> False). % 0.90/1.13 do 0 intro. intros zenon_H1d0 zenon_Hf zenon_H7f zenon_H1b zenon_H1d zenon_H1c. % 0.90/1.13 generalize (zenon_H1d0 (a1204)). zenon_intro zenon_H2a0. % 0.90/1.13 apply (zenon_imply_s _ _ zenon_H2a0); [ zenon_intro zenon_He | zenon_intro zenon_H2a1 ]. % 0.90/1.13 exact (zenon_He zenon_Hf). % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_Hab | zenon_intro zenon_H20 ]. % 0.90/1.13 apply (zenon_L44_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 0.90/1.13 exact (zenon_H23 zenon_H1c). % 0.90/1.13 exact (zenon_H22 zenon_H1d). % 0.90/1.13 (* end of lemma zenon_L547_ *) % 0.90/1.13 assert (zenon_L548_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> (c0_1 (a1204)) -> (ndr1_0) -> (~(c1_1 (a1229))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H1da zenon_H1c zenon_H1d zenon_H1b zenon_Hf zenon_Hdb zenon_H7f zenon_Hdc zenon_Hdd zenon_H241 zenon_H242 zenon_H243 zenon_H9b zenon_H9d. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H145 | zenon_intro zenon_H1d0 ]. % 0.90/1.13 apply (zenon_L538_); trivial. % 0.90/1.13 apply (zenon_L547_); trivial. % 0.90/1.13 (* end of lemma zenon_L548_ *) % 0.90/1.13 assert (zenon_L549_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H26 zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1da zenon_Hdb zenon_Hdc zenon_Hdd zenon_H241 zenon_H242 zenon_H243 zenon_H9b zenon_H9d. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.13 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.90/1.13 apply (zenon_L451_); trivial. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 0.90/1.13 apply (zenon_L50_); trivial. % 0.90/1.13 apply (zenon_L548_); trivial. % 0.90/1.13 (* end of lemma zenon_L549_ *) % 0.90/1.13 assert (zenon_L550_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1229)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.90/1.13 do 0 intro. intros zenon_H2b zenon_H9d zenon_H9b zenon_Hdd zenon_H1da zenon_Hf zenon_H279 zenon_H27a zenon_H27b zenon_Hbc zenon_Hbd zenon_Hbe zenon_H24a zenon_Hdc zenon_Hdb zenon_H243 zenon_H242 zenon_H241 zenon_H282. % 0.90/1.13 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.13 apply (zenon_L546_); trivial. % 0.90/1.13 apply (zenon_L549_); trivial. % 0.90/1.13 (* end of lemma zenon_L550_ *) % 0.90/1.13 assert (zenon_L551_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hef zenon_Hb4 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H282 zenon_H241 zenon_H242 zenon_H243 zenon_H24a zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H1da zenon_H9d zenon_H2b. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.14 apply (zenon_L550_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.14 apply (zenon_L546_); trivial. % 0.90/1.14 apply (zenon_L455_); trivial. % 0.90/1.14 (* end of lemma zenon_L551_ *) % 0.90/1.14 assert (zenon_L552_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (ndr1_0) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hf2 zenon_Hb4 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H282 zenon_H241 zenon_H242 zenon_H243 zenon_H24a zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H1da zenon_H9d zenon_H2b zenon_Hf zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd7 zenon_Hd9. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.14 apply (zenon_L56_); trivial. % 0.90/1.14 apply (zenon_L551_); trivial. % 0.90/1.14 (* end of lemma zenon_L552_ *) % 0.90/1.14 assert (zenon_L553_ : ((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H129 zenon_Hf2 zenon_Hb4 zenon_H241 zenon_H242 zenon_H243 zenon_H24a zenon_H1da zenon_H9d zenon_H2b zenon_H282 zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_Ha9 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H36 zenon_H34 zenon_H112 zenon_H50 zenon_H4d zenon_H61. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.14 apply (zenon_L503_); trivial. % 0.90/1.14 apply (zenon_L551_); trivial. % 0.90/1.14 (* end of lemma zenon_L553_ *) % 0.90/1.14 assert (zenon_L554_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hb3 zenon_H12c zenon_H27 zenon_H24 zenon_H36 zenon_H34 zenon_H112 zenon_H50 zenon_H4d zenon_H61 zenon_Hd9 zenon_Hce zenon_Hcd zenon_Hcc zenon_H2b zenon_H9d zenon_H1da zenon_H279 zenon_H27a zenon_H27b zenon_Hbc zenon_Hbd zenon_Hbe zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_H282 zenon_Ha9 zenon_Hb4 zenon_Hf2. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.14 apply (zenon_L552_); trivial. % 0.90/1.14 apply (zenon_L553_); trivial. % 0.90/1.14 (* end of lemma zenon_L554_ *) % 0.90/1.14 assert (zenon_L555_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (c2_1 (a1223)) -> (~(c3_1 (a1223))) -> (~(c1_1 (a1223))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (~(c2_1 (a1228))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.90/1.14 do 0 intro. intros zenon_H9d zenon_H69 zenon_H68 zenon_H67 zenon_Hf7 zenon_Hf4 zenon_H7f zenon_Hf6 zenon_Hf zenon_H9b. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H7c | zenon_intro zenon_H9e ]. % 0.90/1.14 apply (zenon_L33_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H91 | zenon_intro zenon_H9c ]. % 0.90/1.14 apply (zenon_L499_); trivial. % 0.90/1.14 exact (zenon_H9b zenon_H9c). % 0.90/1.14 (* end of lemma zenon_L555_ *) % 0.90/1.14 assert (zenon_L556_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (c2_1 (a1223)) -> (~(c3_1 (a1223))) -> (~(c1_1 (a1223))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.90/1.14 do 0 intro. intros zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H9d zenon_H69 zenon_H68 zenon_H67 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_Hf zenon_H9b. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.90/1.14 apply (zenon_L451_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 0.90/1.14 apply (zenon_L50_); trivial. % 0.90/1.14 apply (zenon_L555_); trivial. % 0.90/1.14 (* end of lemma zenon_L556_ *) % 0.90/1.14 assert (zenon_L557_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (ndr1_0) -> (c0_1 (a1204)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> False). % 0.90/1.14 do 0 intro. intros zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_Hf zenon_H1b zenon_H7f zenon_H1d zenon_H1c. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.14 apply (zenon_L41_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.14 apply (zenon_L499_); trivial. % 0.90/1.14 apply (zenon_L45_); trivial. % 0.90/1.14 (* end of lemma zenon_L557_ *) % 0.90/1.14 assert (zenon_L558_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H26 zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_Hf7 zenon_Hf4 zenon_Hf6. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.90/1.14 apply (zenon_L451_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 0.90/1.14 apply (zenon_L50_); trivial. % 0.90/1.14 apply (zenon_L557_); trivial. % 0.90/1.14 (* end of lemma zenon_L558_ *) % 0.90/1.14 assert (zenon_L559_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H60 zenon_H61 zenon_H5b zenon_H4d zenon_H50 zenon_H112 zenon_Hd5 zenon_H34 zenon_H36 zenon_H279 zenon_H27a zenon_H27b zenon_Hbc zenon_Hbd zenon_Hbe zenon_Ha9 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H282 zenon_H2b. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.14 apply (zenon_L75_); trivial. % 0.90/1.14 apply (zenon_L558_); trivial. % 0.90/1.14 apply (zenon_L25_); trivial. % 0.90/1.14 (* end of lemma zenon_L559_ *) % 0.90/1.14 assert (zenon_L560_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> ((hskp25)\/(hskp21)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hb7 zenon_H64 zenon_H61 zenon_H5b zenon_H4d zenon_H50 zenon_H112 zenon_Hd5 zenon_H34 zenon_H36 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_Hb zenon_H279 zenon_H27a zenon_H27b zenon_H282 zenon_H241 zenon_H242 zenon_H243 zenon_Ha9 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H28e zenon_H2b. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.14 apply (zenon_L517_); trivial. % 0.90/1.14 apply (zenon_L559_); trivial. % 0.90/1.14 (* end of lemma zenon_L560_ *) % 0.90/1.14 assert (zenon_L561_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((hskp25)\/(hskp21)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hb3 zenon_H12c zenon_H127 zenon_H3 zenon_H67 zenon_H68 zenon_H69 zenon_H28e zenon_Hb zenon_H36 zenon_H34 zenon_H112 zenon_H50 zenon_H4d zenon_H5b zenon_H61 zenon_H64 zenon_Hd9 zenon_Hce zenon_Hcd zenon_Hcc zenon_H2b zenon_H9d zenon_H1da zenon_H279 zenon_H27a zenon_H27b zenon_Hbc zenon_Hbd zenon_Hbe zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_H282 zenon_Ha9 zenon_Hb4 zenon_Hf2. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.14 apply (zenon_L552_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.14 apply (zenon_L556_); trivial. % 0.90/1.14 apply (zenon_L560_); trivial. % 0.90/1.14 apply (zenon_L85_); trivial. % 0.90/1.14 (* end of lemma zenon_L561_ *) % 0.90/1.14 assert (zenon_L562_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((hskp25)\/(hskp21)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H130 zenon_H134 zenon_H127 zenon_H3 zenon_H28e zenon_Hb zenon_H5b zenon_H64 zenon_H7b zenon_H22a zenon_H229 zenon_H228 zenon_Hf2 zenon_Hb4 zenon_Ha9 zenon_H282 zenon_H241 zenon_H242 zenon_H243 zenon_H24a zenon_H27b zenon_H27a zenon_H279 zenon_H1da zenon_H9d zenon_H2b zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd9 zenon_H61 zenon_H4d zenon_H50 zenon_H112 zenon_H34 zenon_H36 zenon_H27 zenon_H12c zenon_Hba. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.14 apply (zenon_L229_); trivial. % 0.90/1.14 apply (zenon_L554_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.14 apply (zenon_L229_); trivial. % 0.90/1.14 apply (zenon_L561_); trivial. % 0.90/1.14 (* end of lemma zenon_L562_ *) % 0.90/1.14 assert (zenon_L563_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H189 zenon_H64 zenon_H61 zenon_H5b zenon_H4d zenon_H50 zenon_H112 zenon_Hd5 zenon_H34 zenon_H36 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H9b zenon_H279 zenon_H27a zenon_H27b zenon_H228 zenon_H229 zenon_H22a zenon_H293 zenon_H159. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.14 apply (zenon_L480_); trivial. % 0.90/1.14 apply (zenon_L113_); trivial. % 0.90/1.14 (* end of lemma zenon_L563_ *) % 0.90/1.14 assert (zenon_L564_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp25)\/(hskp21)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hb4 zenon_H28e zenon_H241 zenon_H242 zenon_H243 zenon_Ha9 zenon_H159 zenon_H293 zenon_H22a zenon_H229 zenon_H228 zenon_H27b zenon_H27a zenon_H279 zenon_H139 zenon_H2b zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H27 zenon_H24 zenon_H172 zenon_Hb zenon_H36 zenon_H34 zenon_Hd5 zenon_H112 zenon_H50 zenon_H4d zenon_H5b zenon_H61 zenon_H64 zenon_H189. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.14 apply (zenon_L563_); trivial. % 0.90/1.14 apply (zenon_L526_); trivial. % 0.90/1.14 (* end of lemma zenon_L564_ *) % 0.90/1.14 assert (zenon_L565_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp10)) -> (~(c2_1 (a1247))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp14)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(hskp9)) -> False). % 0.90/1.14 do 0 intro. intros zenon_H8c zenon_H24 zenon_H163 zenon_H161 zenon_H164 zenon_H16b zenon_H27 zenon_H9b zenon_H145 zenon_Hf zenon_H241 zenon_H242 zenon_H243 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H9d zenon_H89. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.90/1.14 apply (zenon_L132_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.90/1.14 apply (zenon_L538_); trivial. % 0.90/1.14 exact (zenon_H89 zenon_H8a). % 0.90/1.14 (* end of lemma zenon_L565_ *) % 0.90/1.14 assert (zenon_L566_ : ((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (~(hskp25)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> False). % 0.90/1.14 do 0 intro. intros zenon_H1db zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H24a zenon_H9 zenon_H27 zenon_H24 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H16b zenon_H164 zenon_H163 zenon_H89 zenon_H8c zenon_H243 zenon_H242 zenon_H241 zenon_H172. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.14 apply (zenon_L330_); trivial. % 0.90/1.14 apply (zenon_L246_); trivial. % 0.90/1.14 (* end of lemma zenon_L566_ *) % 0.90/1.14 assert (zenon_L567_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_H28e zenon_H241 zenon_H242 zenon_H243 zenon_H147 zenon_H148 zenon_H150 zenon_Ha9 zenon_H27b zenon_H27a zenon_H279 zenon_H67 zenon_H68 zenon_H69 zenon_H9d. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.14 apply (zenon_L40_); trivial. % 0.90/1.14 apply (zenon_L526_); trivial. % 0.90/1.14 (* end of lemma zenon_L567_ *) % 0.90/1.14 assert (zenon_L568_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.14 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H28e zenon_H241 zenon_H242 zenon_H243 zenon_H147 zenon_H148 zenon_H150 zenon_Ha9 zenon_H27b zenon_H27a zenon_H279 zenon_H9d zenon_H228 zenon_H229 zenon_H22a zenon_H7b. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.14 apply (zenon_L229_); trivial. % 0.90/1.14 apply (zenon_L567_); trivial. % 0.90/1.14 (* end of lemma zenon_L568_ *) % 0.90/1.14 assert (zenon_L569_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp1)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> False). % 0.90/1.14 do 0 intro. intros zenon_Ha9 zenon_H34 zenon_H92 zenon_H94 zenon_H93 zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hc6 zenon_H243 zenon_H242 zenon_H241 zenon_Hf zenon_H145 zenon_H147 zenon_H148 zenon_H150. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.14 apply (zenon_L282_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.14 apply (zenon_L321_); trivial. % 0.90/1.14 apply (zenon_L149_); trivial. % 0.90/1.14 (* end of lemma zenon_L569_ *) % 0.90/1.14 assert (zenon_L570_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp1)) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hb3 zenon_H28e zenon_H27b zenon_H27a zenon_H279 zenon_Ha9 zenon_H34 zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hc6 zenon_H243 zenon_H242 zenon_H241 zenon_H147 zenon_H148 zenon_H150. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.14 apply (zenon_L451_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.14 apply (zenon_L282_); trivial. % 0.90/1.14 apply (zenon_L569_); trivial. % 0.90/1.14 (* end of lemma zenon_L570_ *) % 0.90/1.14 assert (zenon_L571_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.14 do 0 intro. intros zenon_H130 zenon_Hba zenon_H28e zenon_H241 zenon_H242 zenon_H243 zenon_H147 zenon_H148 zenon_H150 zenon_Ha9 zenon_H34 zenon_Hc6 zenon_H27b zenon_H27a zenon_H279 zenon_H228 zenon_H229 zenon_H22a zenon_H7b. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.14 apply (zenon_L229_); trivial. % 0.90/1.14 apply (zenon_L570_); trivial. % 0.90/1.14 (* end of lemma zenon_L571_ *) % 0.90/1.14 assert (zenon_L572_ : ((ndr1_0)/\((c1_1 (a1215))/\((c2_1 (a1215))/\(~(c3_1 (a1215)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H23d zenon_H133 zenon_Hc6 zenon_Hba zenon_Hf2 zenon_H1de zenon_H217 zenon_H1ec zenon_H8c zenon_H24a zenon_H9d zenon_H189 zenon_H64 zenon_H61 zenon_H5b zenon_H4d zenon_H50 zenon_H112 zenon_H34 zenon_H36 zenon_Hb zenon_H172 zenon_H27 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H279 zenon_H27a zenon_H27b zenon_H293 zenon_H159 zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H28e zenon_Hb4 zenon_H228 zenon_H229 zenon_H22a zenon_H7b zenon_H134. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.14 apply (zenon_L229_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.14 apply (zenon_L564_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.14 apply (zenon_L480_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.14 apply (zenon_L18_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.14 apply (zenon_L451_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.14 apply (zenon_L537_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H161 | zenon_intro zenon_H185 ]. % 0.90/1.14 apply (zenon_L565_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H173 | zenon_intro zenon_Hf3 ]. % 0.90/1.14 apply (zenon_L108_); trivial. % 0.90/1.14 apply (zenon_L189_); trivial. % 0.90/1.14 apply (zenon_L566_); trivial. % 0.90/1.14 apply (zenon_L110_); trivial. % 0.90/1.14 apply (zenon_L526_); trivial. % 0.90/1.14 apply (zenon_L568_); trivial. % 0.90/1.14 apply (zenon_L571_); trivial. % 0.90/1.14 (* end of lemma zenon_L572_ *) % 0.90/1.14 assert (zenon_L573_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H15a zenon_H180 zenon_H107 zenon_H5 zenon_H54 zenon_H53 zenon_H52 zenon_H172 zenon_Hce zenon_Hcd zenon_H24 zenon_H1c6. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.14 apply (zenon_L206_); trivial. % 0.90/1.14 apply (zenon_L136_); trivial. % 0.90/1.14 (* end of lemma zenon_L573_ *) % 0.90/1.14 assert (zenon_L574_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(hskp19)) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H60 zenon_H159 zenon_H180 zenon_H107 zenon_H5 zenon_H172 zenon_Hce zenon_Hcd zenon_H24 zenon_H1c6 zenon_H137 zenon_H9b zenon_H139. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.14 apply (zenon_L94_); trivial. % 0.90/1.14 apply (zenon_L573_); trivial. % 0.90/1.14 (* end of lemma zenon_L574_ *) % 0.90/1.14 assert (zenon_L575_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c3_1 (a1228)) -> (~(c2_1 (a1228))) -> (c0_1 (a1228)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (ndr1_0) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 0.90/1.14 do 0 intro. intros zenon_H1ea zenon_Hf7 zenon_Hf6 zenon_Hf4 zenon_Hf3 zenon_H16b zenon_H164 zenon_H163 zenon_Hf zenon_H266 zenon_H25d zenon_H25e. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H13b | zenon_intro zenon_H1eb ]. % 0.90/1.14 apply (zenon_L343_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e7 ]. % 0.90/1.14 apply (zenon_L158_); trivial. % 0.90/1.14 apply (zenon_L376_); trivial. % 0.90/1.14 (* end of lemma zenon_L575_ *) % 0.90/1.14 assert (zenon_L576_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (c3_1 (a1228)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(hskp5)) -> False). % 0.90/1.14 do 0 intro. intros zenon_H60 zenon_H107 zenon_H25e zenon_H25d zenon_H266 zenon_H163 zenon_H164 zenon_H16b zenon_Hf4 zenon_Hf6 zenon_Hf7 zenon_H1ea zenon_H5. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H51 | zenon_intro zenon_H108 ]. % 0.90/1.14 apply (zenon_L23_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H6 ]. % 0.90/1.14 apply (zenon_L575_); trivial. % 0.90/1.14 exact (zenon_H5 zenon_H6). % 0.90/1.14 (* end of lemma zenon_L576_ *) % 0.90/1.14 assert (zenon_L577_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (c3_1 (a1228)) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H186 zenon_H64 zenon_H107 zenon_H5 zenon_Hf4 zenon_Hf6 zenon_Hf7 zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_Hb zenon_H11 zenon_H12 zenon_H13 zenon_H24 zenon_H27 zenon_H2b. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.14 apply (zenon_L12_); trivial. % 0.90/1.14 apply (zenon_L576_); trivial. % 0.90/1.14 (* end of lemma zenon_L577_ *) % 0.90/1.14 assert (zenon_L578_ : ((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (c3_1 (a1228)) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp25)\/(hskp21)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hc5 zenon_H189 zenon_Hf4 zenon_Hf6 zenon_Hf7 zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_H2b zenon_H27 zenon_H24 zenon_Hb zenon_H139 zenon_H9b zenon_H1c6 zenon_Hcd zenon_Hce zenon_H172 zenon_H5 zenon_H107 zenon_H180 zenon_H159 zenon_H64. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.14 apply (zenon_L12_); trivial. % 0.90/1.14 apply (zenon_L574_); trivial. % 0.90/1.14 apply (zenon_L577_); trivial. % 0.90/1.14 (* end of lemma zenon_L578_ *) % 0.90/1.14 assert (zenon_L579_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (c3_1 (a1228)) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp25)\/(hskp21)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hca zenon_H189 zenon_Hf4 zenon_Hf6 zenon_Hf7 zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_H2b zenon_H27 zenon_H24 zenon_Hb zenon_H139 zenon_H9b zenon_H1c6 zenon_Hcd zenon_Hce zenon_H172 zenon_H107 zenon_H180 zenon_H159 zenon_H64 zenon_H3 zenon_H5 zenon_H7. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.14 apply (zenon_L4_); trivial. % 0.90/1.14 apply (zenon_L578_); trivial. % 0.90/1.14 (* end of lemma zenon_L579_ *) % 0.90/1.14 assert (zenon_L580_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hb7 zenon_Hca zenon_H64 zenon_H61 zenon_H5b zenon_H4d zenon_H50 zenon_H112 zenon_Hd5 zenon_H34 zenon_H36 zenon_H279 zenon_H27a zenon_H27b zenon_Hbc zenon_Hbd zenon_Hbe zenon_Ha9 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_H282 zenon_Hb zenon_H24 zenon_H27 zenon_H2b zenon_H3 zenon_H5 zenon_H7. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.14 apply (zenon_L4_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.14 apply (zenon_L12_); trivial. % 0.90/1.14 apply (zenon_L559_); trivial. % 0.90/1.14 (* end of lemma zenon_L580_ *) % 0.90/1.14 assert (zenon_L581_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((hskp6)\/(hskp7))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp25)\/(hskp21)) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H186 zenon_H64 zenon_H5b zenon_H36 zenon_H34 zenon_H30 zenon_H2e zenon_H3 zenon_H2b zenon_H50 zenon_H4d zenon_H1ec zenon_H295 zenon_H24 zenon_H27 zenon_H1df zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_Hb zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_H159 zenon_H61. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.14 apply (zenon_L15_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.14 apply (zenon_L482_); trivial. % 0.90/1.14 apply (zenon_L381_); trivial. % 0.90/1.14 apply (zenon_L26_); trivial. % 0.90/1.14 (* end of lemma zenon_L581_ *) % 0.90/1.14 assert (zenon_L582_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((hskp6)\/(hskp7))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp25)\/(hskp21)) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H189 zenon_H64 zenon_H5b zenon_H36 zenon_H34 zenon_H30 zenon_H2e zenon_H3 zenon_H2b zenon_H50 zenon_H4d zenon_H1ec zenon_H295 zenon_H24 zenon_H27 zenon_H1df zenon_H217 zenon_H180 zenon_H1de zenon_Hb zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_H61 zenon_H139 zenon_H9b zenon_H279 zenon_H27a zenon_H27b zenon_H228 zenon_H229 zenon_H22a zenon_H293 zenon_H159. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.14 apply (zenon_L480_); trivial. % 0.90/1.14 apply (zenon_L581_); trivial. % 0.90/1.14 (* end of lemma zenon_L582_ *) % 0.90/1.14 assert (zenon_L583_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> (~(c0_1 (a1250))) -> (c3_1 (a1250)) -> (c2_1 (a1250)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H5d zenon_H159 zenon_H293 zenon_H27b zenon_H27a zenon_H279 zenon_H50 zenon_H4d zenon_H34 zenon_H36 zenon_H180 zenon_H5b zenon_H228 zenon_H229 zenon_H22a zenon_H1aa zenon_H1ab zenon_H1ac zenon_H217 zenon_H1df zenon_H2b. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.14 apply (zenon_L362_); trivial. % 0.90/1.14 apply (zenon_L479_); trivial. % 0.90/1.14 (* end of lemma zenon_L583_ *) % 0.90/1.14 assert (zenon_L584_ : ((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp6)) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H1b8 zenon_H61 zenon_H159 zenon_H293 zenon_H27b zenon_H27a zenon_H279 zenon_H50 zenon_H4d zenon_H34 zenon_H36 zenon_H180 zenon_H5b zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H1df zenon_H2b zenon_H3 zenon_H2e zenon_H30. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.14 apply (zenon_L15_); trivial. % 0.90/1.14 apply (zenon_L583_); trivial. % 0.90/1.14 (* end of lemma zenon_L584_ *) % 0.90/1.14 assert (zenon_L585_ : ((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1257))) -> (~(c1_1 (a1257))) -> (c3_1 (a1257)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H1a5 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_H52 zenon_H53 zenon_H54 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H25d zenon_H25e zenon_Ha9 zenon_Hce zenon_Hcd zenon_H9d zenon_H9b zenon_Hdd zenon_Hdc zenon_Hdb zenon_H5b. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.90/1.14 apply (zenon_L23_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.90/1.14 apply (zenon_L396_); trivial. % 0.90/1.14 apply (zenon_L255_); trivial. % 0.90/1.14 apply (zenon_L265_); trivial. % 0.90/1.14 (* end of lemma zenon_L585_ *) % 0.90/1.14 assert (zenon_L586_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp25)\/(hskp21)) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H186 zenon_H64 zenon_H15f zenon_H15d zenon_H109 zenon_H10a zenon_H10b zenon_H9b zenon_H9d zenon_H2b zenon_H50 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H25d zenon_H25e zenon_Ha9 zenon_H24 zenon_H27 zenon_H1df zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_Hb zenon_H266 zenon_H1ea zenon_H159. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.14 apply (zenon_L394_); trivial. % 0.90/1.14 apply (zenon_L170_); trivial. % 0.90/1.14 (* end of lemma zenon_L586_ *) % 0.90/1.14 assert (zenon_L587_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp25)\/(hskp21)) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H11b zenon_H189 zenon_H64 zenon_H15f zenon_H15d zenon_H9d zenon_H2b zenon_H50 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H25d zenon_H25e zenon_Ha9 zenon_H24 zenon_H27 zenon_H1df zenon_H217 zenon_H180 zenon_H1de zenon_Hb zenon_H266 zenon_H1ea zenon_H139 zenon_H9b zenon_H279 zenon_H27a zenon_H27b zenon_H228 zenon_H229 zenon_H22a zenon_H293 zenon_H159. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.14 apply (zenon_L480_); trivial. % 0.90/1.14 apply (zenon_L586_); trivial. % 0.90/1.14 (* end of lemma zenon_L587_ *) % 0.90/1.14 assert (zenon_L588_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp25)\/(hskp21)) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H11e zenon_H159 zenon_H293 zenon_H22a zenon_H229 zenon_H228 zenon_H27b zenon_H27a zenon_H279 zenon_H9b zenon_H139 zenon_H64 zenon_H1a8 zenon_H172 zenon_Hce zenon_Hcd zenon_H9d zenon_Hdd zenon_Hdc zenon_Hdb zenon_H5b zenon_H19a zenon_H2b zenon_H50 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H25d zenon_H25e zenon_Ha9 zenon_H24 zenon_H27 zenon_H1df zenon_H217 zenon_H180 zenon_H1de zenon_Hb zenon_H266 zenon_H1ea zenon_H15d zenon_H15f zenon_H1bd zenon_H189. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.14 apply (zenon_L480_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.14 apply (zenon_L394_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.14 apply (zenon_L119_); trivial. % 0.90/1.14 apply (zenon_L585_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.14 apply (zenon_L394_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.14 apply (zenon_L202_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.90/1.14 apply (zenon_L274_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.90/1.14 apply (zenon_L396_); trivial. % 0.90/1.14 apply (zenon_L255_); trivial. % 0.90/1.14 apply (zenon_L488_); trivial. % 0.90/1.14 apply (zenon_L587_); trivial. % 0.90/1.14 (* end of lemma zenon_L588_ *) % 0.90/1.14 assert (zenon_L589_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hb7 zenon_H189 zenon_H1ea zenon_H2b zenon_H25d zenon_H25e zenon_H266 zenon_H270 zenon_H24 zenon_H27 zenon_H36 zenon_H34 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H50 zenon_H180 zenon_H5b zenon_Hcd zenon_Hce zenon_H1ec zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H1df zenon_H1de zenon_H279 zenon_H27a zenon_H27b zenon_H293 zenon_H159 zenon_H1bd. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.14 apply (zenon_L426_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.14 apply (zenon_L43_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.14 apply (zenon_L427_); trivial. % 0.90/1.14 apply (zenon_L235_); trivial. % 0.90/1.14 apply (zenon_L479_); trivial. % 0.90/1.14 apply (zenon_L433_); trivial. % 0.90/1.14 (* end of lemma zenon_L589_ *) % 0.90/1.14 assert (zenon_L590_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> ((hskp25)\/(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> (ndr1_0) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hf2 zenon_Hb4 zenon_H270 zenon_H36 zenon_H34 zenon_H189 zenon_H1bd zenon_H15f zenon_H15d zenon_H1ea zenon_H266 zenon_Hb zenon_H1de zenon_H180 zenon_H217 zenon_H1df zenon_H27 zenon_H24 zenon_Ha9 zenon_H25e zenon_H25d zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H50 zenon_H2b zenon_H19a zenon_H5b zenon_H9d zenon_H172 zenon_H1a8 zenon_H64 zenon_H139 zenon_H279 zenon_H27a zenon_H27b zenon_H228 zenon_H229 zenon_H22a zenon_H293 zenon_H159 zenon_H11e zenon_Hf zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd7 zenon_Hd9. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.14 apply (zenon_L56_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.14 apply (zenon_L588_); trivial. % 0.90/1.14 apply (zenon_L589_); trivial. % 0.90/1.14 (* end of lemma zenon_L590_ *) % 0.90/1.14 assert (zenon_L591_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H5d zenon_H159 zenon_H1c6 zenon_H50 zenon_H4d zenon_H34 zenon_H36 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1df zenon_H27 zenon_H24 zenon_H16b zenon_H164 zenon_H163 zenon_Ha9 zenon_H25e zenon_H25d zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H2b. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.14 apply (zenon_L22_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.14 apply (zenon_L392_); trivial. % 0.90/1.14 apply (zenon_L21_); trivial. % 0.90/1.14 apply (zenon_L237_); trivial. % 0.90/1.14 (* end of lemma zenon_L591_ *) % 0.90/1.14 assert (zenon_L592_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_H189 zenon_H61 zenon_H1c6 zenon_H4d zenon_H2b zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H25d zenon_H25e zenon_Ha9 zenon_H24 zenon_H27 zenon_H1df zenon_H217 zenon_H180 zenon_H1de zenon_H36 zenon_H34 zenon_Hd5 zenon_H112 zenon_H50 zenon_H139 zenon_H9b zenon_H279 zenon_H27a zenon_H27b zenon_H228 zenon_H229 zenon_H22a zenon_H293 zenon_H159. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.14 apply (zenon_L480_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.14 apply (zenon_L404_); trivial. % 0.90/1.14 apply (zenon_L479_); trivial. % 0.90/1.14 apply (zenon_L591_); trivial. % 0.90/1.14 (* end of lemma zenon_L592_ *) % 0.90/1.14 assert (zenon_L593_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> ((hskp25)\/(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> (ndr1_0) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hf2 zenon_Hb4 zenon_H282 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H36 zenon_H34 zenon_H189 zenon_H1bd zenon_H15f zenon_H15d zenon_H1ea zenon_H266 zenon_Hb zenon_H1de zenon_H180 zenon_H217 zenon_H1df zenon_H27 zenon_H24 zenon_Ha9 zenon_H25e zenon_H25d zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H50 zenon_H2b zenon_H19a zenon_H5b zenon_H9d zenon_H172 zenon_H1a8 zenon_H64 zenon_H139 zenon_H279 zenon_H27a zenon_H27b zenon_H228 zenon_H229 zenon_H22a zenon_H293 zenon_H159 zenon_H11e zenon_Hf zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd7 zenon_Hd9. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.14 apply (zenon_L56_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.14 apply (zenon_L588_); trivial. % 0.90/1.14 apply (zenon_L456_); trivial. % 0.90/1.14 (* end of lemma zenon_L593_ *) % 0.90/1.14 assert (zenon_L594_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hb7 zenon_H189 zenon_H181 zenon_H172 zenon_H2b zenon_H25d zenon_H25e zenon_H266 zenon_H270 zenon_H24 zenon_H27 zenon_H36 zenon_H34 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H50 zenon_H1df zenon_H279 zenon_H27a zenon_H27b zenon_H254 zenon_H150 zenon_H148 zenon_H147 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H28e zenon_H180 zenon_H1ea zenon_H159 zenon_H1bd. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.14 apply (zenon_L426_); trivial. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.14 apply (zenon_L43_); trivial. % 0.90/1.14 apply (zenon_L507_); trivial. % 0.90/1.14 apply (zenon_L378_); trivial. % 0.90/1.14 apply (zenon_L301_); trivial. % 0.90/1.14 (* end of lemma zenon_L594_ *) % 0.90/1.14 assert (zenon_L595_ : ((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hc5 zenon_H2b zenon_H27 zenon_H24 zenon_H36 zenon_H34 zenon_H279 zenon_H27a zenon_H27b zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H28e zenon_H50. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.14 apply (zenon_L512_); trivial. % 0.90/1.14 apply (zenon_L11_); trivial. % 0.90/1.14 (* end of lemma zenon_L595_ *) % 0.90/1.14 assert (zenon_L596_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((hskp25)\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.14 do 0 intro. intros zenon_Hef zenon_Hb4 zenon_H28e zenon_Ha9 zenon_H27b zenon_H27a zenon_H279 zenon_H64 zenon_H5b zenon_H24 zenon_H1c6 zenon_H8c zenon_H139 zenon_Hb zenon_H155 zenon_H150 zenon_H148 zenon_H147 zenon_H89 zenon_H157 zenon_H2b zenon_H159 zenon_H180 zenon_H181 zenon_H27 zenon_H172 zenon_H107 zenon_H5 zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_H189. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.14 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.14 apply (zenon_L131_); trivial. % 0.90/1.14 apply (zenon_L331_); trivial. % 0.90/1.14 apply (zenon_L526_); trivial. % 0.90/1.14 (* end of lemma zenon_L596_ *) % 0.90/1.14 assert (zenon_L597_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp10)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> False). % 0.90/1.14 do 0 intro. intros zenon_H26 zenon_H28e zenon_H27b zenon_H27a zenon_H279 zenon_Ha9 zenon_H24 zenon_H92 zenon_H94 zenon_H93 zenon_H27 zenon_H243 zenon_H242 zenon_H241 zenon_H147 zenon_H148 zenon_H150. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.14 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.14 apply (zenon_L451_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.14 apply (zenon_L179_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.14 apply (zenon_L179_); trivial. % 0.90/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.14 apply (zenon_L321_); trivial. % 0.90/1.14 apply (zenon_L149_); trivial. % 0.90/1.14 (* end of lemma zenon_L597_ *) % 0.90/1.14 assert (zenon_L598_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.90/1.14 do 0 intro. intros zenon_H2b zenon_H28e zenon_H241 zenon_H242 zenon_H243 zenon_H147 zenon_H148 zenon_H150 zenon_Ha9 zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H27b zenon_H27a zenon_H279 zenon_Hc zenon_Hb. % 0.90/1.14 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.14 apply (zenon_L6_); trivial. % 0.90/1.14 apply (zenon_L597_); trivial. % 0.90/1.14 (* end of lemma zenon_L598_ *) % 0.90/1.14 assert (zenon_L599_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_Hb3 zenon_H64 zenon_H36 zenon_H34 zenon_H5 zenon_H107 zenon_H50 zenon_Hb zenon_H279 zenon_H27a zenon_H27b zenon_H27 zenon_H24 zenon_Ha9 zenon_H150 zenon_H148 zenon_H147 zenon_H243 zenon_H242 zenon_H241 zenon_H28e zenon_H2b. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.15 apply (zenon_L598_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.15 apply (zenon_L191_); trivial. % 0.90/1.15 apply (zenon_L597_); trivial. % 0.90/1.15 (* end of lemma zenon_L599_ *) % 0.90/1.15 assert (zenon_L600_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((hskp22)\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1210))) -> (~(hskp19)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H1bd zenon_H159 zenon_H293 zenon_H180 zenon_H5b zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H1df zenon_H30 zenon_H2e zenon_H3 zenon_H50 zenon_H4d zenon_H34 zenon_H36 zenon_H279 zenon_H27a zenon_H27b zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_Ha9 zenon_H25d zenon_H25e zenon_H266 zenon_H137 zenon_H270 zenon_H243 zenon_H242 zenon_H241 zenon_H28e zenon_H2b zenon_H61. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.15 apply (zenon_L15_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.15 apply (zenon_L22_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.15 apply (zenon_L451_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.15 apply (zenon_L179_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.15 apply (zenon_L179_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.15 apply (zenon_L321_); trivial. % 0.90/1.15 apply (zenon_L424_); trivial. % 0.90/1.15 apply (zenon_L584_); trivial. % 0.90/1.15 (* end of lemma zenon_L600_ *) % 0.90/1.15 assert (zenon_L601_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((hskp25)\/(hskp21)) -> (~(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H159 zenon_H293 zenon_H27b zenon_H27a zenon_H279 zenon_Hb zenon_Hc zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1df zenon_H27 zenon_H24 zenon_H16b zenon_H164 zenon_H163 zenon_Ha9 zenon_H25e zenon_H25d zenon_H241 zenon_H242 zenon_H243 zenon_H89 zenon_H157 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H50 zenon_H2b. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.15 apply (zenon_L6_); trivial. % 0.90/1.15 apply (zenon_L422_); trivial. % 0.90/1.15 apply (zenon_L479_); trivial. % 0.90/1.15 (* end of lemma zenon_L601_ *) % 0.90/1.15 assert (zenon_L602_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp25)\/(hskp21)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H186 zenon_H64 zenon_H61 zenon_H5b zenon_H4d zenon_H36 zenon_H34 zenon_Hd5 zenon_H112 zenon_H266 zenon_H1ea zenon_H2b zenon_H50 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H157 zenon_H89 zenon_H243 zenon_H242 zenon_H241 zenon_H25d zenon_H25e zenon_Ha9 zenon_H24 zenon_H27 zenon_H1df zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_Hb zenon_H279 zenon_H27a zenon_H27b zenon_H293 zenon_H159. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.15 apply (zenon_L601_); trivial. % 0.90/1.15 apply (zenon_L423_); trivial. % 0.90/1.15 (* end of lemma zenon_L602_ *) % 0.90/1.15 assert (zenon_L603_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp25)\/(hskp21)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H189 zenon_H64 zenon_H61 zenon_H5b zenon_H4d zenon_H36 zenon_H34 zenon_Hd5 zenon_H112 zenon_H266 zenon_H1ea zenon_H2b zenon_H50 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H157 zenon_H89 zenon_H243 zenon_H242 zenon_H241 zenon_H25d zenon_H25e zenon_Ha9 zenon_H24 zenon_H27 zenon_H1df zenon_H217 zenon_H180 zenon_H1de zenon_Hb zenon_H139 zenon_H9b zenon_H279 zenon_H27a zenon_H27b zenon_H228 zenon_H229 zenon_H22a zenon_H293 zenon_H159. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.15 apply (zenon_L480_); trivial. % 0.90/1.15 apply (zenon_L602_); trivial. % 0.90/1.15 (* end of lemma zenon_L603_ *) % 0.90/1.15 assert (zenon_L604_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c3_1 (a1261))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H26 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_H19c zenon_H19d zenon_H19e zenon_Ha9 zenon_H25e zenon_H25d zenon_H241 zenon_H242 zenon_H243 zenon_H89 zenon_H157 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.15 apply (zenon_L120_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.15 apply (zenon_L421_); trivial. % 0.90/1.15 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.15 apply (zenon_L265_); trivial. % 0.90/1.15 (* end of lemma zenon_L604_ *) % 0.90/1.15 assert (zenon_L605_ : ((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H1a5 zenon_H2b zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_H25e zenon_H25d zenon_H89 zenon_H157 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H36 zenon_H34 zenon_H279 zenon_H27a zenon_H27b zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H28e zenon_H50. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.15 apply (zenon_L512_); trivial. % 0.90/1.15 apply (zenon_L604_); trivial. % 0.90/1.15 (* end of lemma zenon_L605_ *) % 0.90/1.15 assert (zenon_L606_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp16)) -> (~(hskp20)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H1a8 zenon_H2b zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_H25e zenon_H25d zenon_H89 zenon_H157 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H36 zenon_H34 zenon_H279 zenon_H27a zenon_H27b zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H28e zenon_H50 zenon_H103 zenon_H196 zenon_H19a. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.15 apply (zenon_L119_); trivial. % 0.90/1.15 apply (zenon_L605_); trivial. % 0.90/1.15 (* end of lemma zenon_L606_ *) % 0.90/1.15 assert (zenon_L607_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (~(hskp9)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp27)) -> False). % 0.90/1.15 do 0 intro. intros zenon_H1ec zenon_Hce zenon_Hcd zenon_H38 zenon_H25e zenon_H25d zenon_Hf zenon_H157 zenon_H243 zenon_H242 zenon_H241 zenon_H1d zenon_H1c zenon_H1b zenon_H89 zenon_H92 zenon_H94 zenon_H93 zenon_Ha9 zenon_H1c8. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.15 apply (zenon_L195_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.15 apply (zenon_L421_); trivial. % 0.90/1.15 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.15 (* end of lemma zenon_L607_ *) % 0.90/1.15 assert (zenon_L608_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> (~(c0_1 (a1250))) -> (c3_1 (a1250)) -> (c2_1 (a1250)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H26 zenon_H50 zenon_H24 zenon_H27 zenon_H180 zenon_H5b zenon_Hcd zenon_Hce zenon_Ha9 zenon_H25e zenon_H25d zenon_H241 zenon_H242 zenon_H243 zenon_H89 zenon_H157 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H228 zenon_H229 zenon_H22a zenon_H1aa zenon_H1ab zenon_H1ac zenon_H217 zenon_H135 zenon_H1df zenon_H1de. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.15 apply (zenon_L154_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.90/1.15 apply (zenon_L274_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.90/1.15 apply (zenon_L607_); trivial. % 0.90/1.15 apply (zenon_L9_); trivial. % 0.90/1.15 apply (zenon_L296_); trivial. % 0.90/1.15 apply (zenon_L235_); trivial. % 0.90/1.15 (* end of lemma zenon_L608_ *) % 0.90/1.15 assert (zenon_L609_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((hskp25)\/(hskp21)) -> (~(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1250)) -> (c3_1 (a1250)) -> (~(c0_1 (a1250))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H159 zenon_H266 zenon_H1ea zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_Hb zenon_Hc zenon_H1de zenon_H1df zenon_H217 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H22a zenon_H229 zenon_H228 zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H157 zenon_H89 zenon_H243 zenon_H242 zenon_H241 zenon_H25d zenon_H25e zenon_Ha9 zenon_Hce zenon_Hcd zenon_H5b zenon_H180 zenon_H27 zenon_H24 zenon_H50 zenon_H2b. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.15 apply (zenon_L6_); trivial. % 0.90/1.15 apply (zenon_L608_); trivial. % 0.90/1.15 apply (zenon_L378_); trivial. % 0.90/1.15 (* end of lemma zenon_L609_ *) % 0.90/1.15 assert (zenon_L610_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H26 zenon_H50 zenon_H24 zenon_H27 zenon_H5b zenon_Hcd zenon_Hce zenon_Ha9 zenon_H25e zenon_H25d zenon_H241 zenon_H242 zenon_H243 zenon_H89 zenon_H157 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H54 zenon_H53 zenon_H52 zenon_H1df zenon_H135 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.90/1.15 apply (zenon_L23_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.90/1.15 apply (zenon_L607_); trivial. % 0.90/1.15 apply (zenon_L9_); trivial. % 0.90/1.15 apply (zenon_L296_); trivial. % 0.90/1.15 apply (zenon_L235_); trivial. % 0.90/1.15 (* end of lemma zenon_L610_ *) % 0.90/1.15 assert (zenon_L611_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H2b zenon_H24 zenon_H27 zenon_H5b zenon_Hcd zenon_Hce zenon_H25e zenon_H25d zenon_H89 zenon_H157 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H54 zenon_H53 zenon_H52 zenon_H1df zenon_H135 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de zenon_H36 zenon_H34 zenon_H279 zenon_H27a zenon_H27b zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H28e zenon_H50. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.15 apply (zenon_L512_); trivial. % 0.90/1.15 apply (zenon_L610_); trivial. % 0.90/1.15 (* end of lemma zenon_L611_ *) % 0.90/1.15 assert (zenon_L612_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H60 zenon_H159 zenon_H266 zenon_H1ea zenon_H50 zenon_H28e zenon_H241 zenon_H242 zenon_H243 zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H27b zenon_H27a zenon_H279 zenon_H34 zenon_H36 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1df zenon_H1ec zenon_H92 zenon_H94 zenon_H93 zenon_H157 zenon_H89 zenon_H25d zenon_H25e zenon_Hce zenon_Hcd zenon_H5b zenon_H27 zenon_H24 zenon_H2b. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.15 apply (zenon_L611_); trivial. % 0.90/1.15 apply (zenon_L378_); trivial. % 0.90/1.15 (* end of lemma zenon_L612_ *) % 0.90/1.15 assert (zenon_L613_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp10)) -> (c0_1 (a1204)) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a1210))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp20)) -> False). % 0.90/1.15 do 0 intro. intros zenon_Ha9 zenon_H24 zenon_H1b zenon_H1c zenon_H1d zenon_H92 zenon_H94 zenon_H93 zenon_H27 zenon_Hce zenon_Hcd zenon_H161 zenon_H109 zenon_H10a zenon_H10b zenon_H241 zenon_H242 zenon_H243 zenon_H222 zenon_H270 zenon_H266 zenon_H25e zenon_H25d zenon_Hf zenon_H137 zenon_H196. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.15 apply (zenon_L179_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.15 apply (zenon_L365_); trivial. % 0.90/1.15 apply (zenon_L424_); trivial. % 0.90/1.15 (* end of lemma zenon_L613_ *) % 0.90/1.15 assert (zenon_L614_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(hskp20)) -> (~(hskp19)) -> (~(c3_1 (a1210))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (c3_1 (a1204)) -> (c2_1 (a1204)) -> (c0_1 (a1204)) -> (~(hskp9)) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp27)) -> False). % 0.90/1.15 do 0 intro. intros zenon_H1ec zenon_H196 zenon_H137 zenon_H266 zenon_H270 zenon_H222 zenon_H10b zenon_H10a zenon_H109 zenon_Hcd zenon_Hce zenon_H27 zenon_H24 zenon_H25e zenon_H25d zenon_Hf zenon_H157 zenon_H243 zenon_H242 zenon_H241 zenon_H1d zenon_H1c zenon_H1b zenon_H89 zenon_H92 zenon_H94 zenon_H93 zenon_Ha9 zenon_H1c8. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.15 apply (zenon_L613_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.15 apply (zenon_L421_); trivial. % 0.90/1.15 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.15 (* end of lemma zenon_L614_ *) % 0.90/1.15 assert (zenon_L615_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> (~(c3_1 (a1210))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H26 zenon_H50 zenon_H28e zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H27b zenon_H27a zenon_H279 zenon_H1ec zenon_H157 zenon_H89 zenon_H27 zenon_H24 zenon_H93 zenon_H94 zenon_H92 zenon_H222 zenon_Hce zenon_Hcd zenon_H10b zenon_H10a zenon_H109 zenon_H243 zenon_H242 zenon_H241 zenon_H270 zenon_H196 zenon_H137 zenon_H266 zenon_H25e zenon_H25d zenon_Ha9 zenon_H1df zenon_H135 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.15 apply (zenon_L614_); trivial. % 0.90/1.15 apply (zenon_L296_); trivial. % 0.90/1.15 apply (zenon_L511_); trivial. % 0.90/1.15 (* end of lemma zenon_L615_ *) % 0.90/1.15 assert (zenon_L616_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1210))) -> (~(hskp19)) -> (~(hskp20)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H159 zenon_H293 zenon_H50 zenon_H28e zenon_H241 zenon_H242 zenon_H243 zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H27b zenon_H27a zenon_H279 zenon_H34 zenon_H36 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1df zenon_H25d zenon_H25e zenon_H266 zenon_H137 zenon_H196 zenon_H270 zenon_H109 zenon_H10a zenon_H10b zenon_Hcd zenon_Hce zenon_H222 zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_H89 zenon_H157 zenon_H1ec zenon_H2b. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.15 apply (zenon_L512_); trivial. % 0.90/1.15 apply (zenon_L615_); trivial. % 0.90/1.15 apply (zenon_L479_); trivial. % 0.90/1.15 (* end of lemma zenon_L616_ *) % 0.90/1.15 assert (zenon_L617_ : ((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((hskp25)\/(hskp21)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H1b8 zenon_H64 zenon_H24a zenon_H10b zenon_H10a zenon_H109 zenon_H2b zenon_H50 zenon_H24 zenon_H27 zenon_H180 zenon_H5b zenon_Hcd zenon_Hce zenon_Ha9 zenon_H25e zenon_H25d zenon_H241 zenon_H242 zenon_H243 zenon_H89 zenon_H157 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H1df zenon_H1de zenon_Hb zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H1ea zenon_H266 zenon_H159. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.15 apply (zenon_L609_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.15 apply (zenon_L315_); trivial. % 0.90/1.15 apply (zenon_L610_); trivial. % 0.90/1.15 apply (zenon_L378_); trivial. % 0.90/1.15 (* end of lemma zenon_L617_ *) % 0.90/1.15 assert (zenon_L618_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c0_1 (a1236)) -> (~(c3_1 (a1236))) -> (~(c1_1 (a1236))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H186 zenon_H159 zenon_H1ea zenon_H266 zenon_H24a zenon_H10b zenon_H10a zenon_H109 zenon_H243 zenon_H242 zenon_H241 zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H1df zenon_H27 zenon_H24 zenon_Ha9 zenon_H25e zenon_H25d zenon_H89 zenon_H157 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H50 zenon_H2b. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.15 apply (zenon_L315_); trivial. % 0.90/1.15 apply (zenon_L422_); trivial. % 0.90/1.15 apply (zenon_L381_); trivial. % 0.90/1.15 (* end of lemma zenon_L618_ *) % 0.90/1.15 assert (zenon_L619_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_Hb7 zenon_H11e zenon_H189 zenon_H293 zenon_H270 zenon_H222 zenon_H24a zenon_H1a8 zenon_H2b zenon_H1de zenon_H180 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H172 zenon_H25e zenon_H25d zenon_H89 zenon_H157 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H36 zenon_H34 zenon_H279 zenon_H27a zenon_H27b zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H28e zenon_H50 zenon_H19a zenon_H159 zenon_H266 zenon_H1ea zenon_Hb zenon_H1df zenon_Hce zenon_Hcd zenon_H5b zenon_H27 zenon_H24 zenon_H64 zenon_H1bd. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.15 apply (zenon_L606_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.15 apply (zenon_L609_); trivial. % 0.90/1.15 apply (zenon_L612_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.15 apply (zenon_L616_); trivial. % 0.90/1.15 apply (zenon_L617_); trivial. % 0.90/1.15 apply (zenon_L618_); trivial. % 0.90/1.15 (* end of lemma zenon_L619_ *) % 0.90/1.15 assert (zenon_L620_ : ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(hskp27)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (~(hskp10)) -> (~(hskp25)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp14)) -> (ndr1_0) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(hskp9)) -> False). % 0.90/1.15 do 0 intro. intros zenon_H28e zenon_H27b zenon_H27a zenon_H279 zenon_H5b zenon_H54 zenon_H53 zenon_H52 zenon_H1c8 zenon_Ha9 zenon_H24a zenon_H27 zenon_H16b zenon_H164 zenon_H163 zenon_H24 zenon_H9 zenon_H1ec zenon_H94 zenon_H93 zenon_H92 zenon_H25d zenon_H25e zenon_Hcd zenon_Hce zenon_H8c zenon_H9b zenon_Hf zenon_H241 zenon_H242 zenon_H243 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H9d zenon_H89. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.15 apply (zenon_L451_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.15 apply (zenon_L537_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 0.90/1.15 apply (zenon_L23_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.15 apply (zenon_L195_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.15 apply (zenon_L537_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.15 apply (zenon_L38_); trivial. % 0.90/1.15 apply (zenon_L386_); trivial. % 0.90/1.15 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.15 apply (zenon_L539_); trivial. % 0.90/1.15 (* end of lemma zenon_L620_ *) % 0.90/1.15 assert (zenon_L621_ : ((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1257))) -> (~(c1_1 (a1257))) -> (c3_1 (a1257)) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H1a5 zenon_H2b zenon_H157 zenon_H28e zenon_H52 zenon_H53 zenon_H54 zenon_H25d zenon_H25e zenon_Ha9 zenon_Hce zenon_Hcd zenon_H9b zenon_H9d zenon_H5b zenon_H24a zenon_H27 zenon_H24 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H16b zenon_H164 zenon_H163 zenon_H89 zenon_H8c zenon_H243 zenon_H242 zenon_H241 zenon_H92 zenon_H94 zenon_H93 zenon_H1ec zenon_H27b zenon_H27a zenon_H279 zenon_H172 zenon_H228 zenon_H229 zenon_H22a zenon_H217 zenon_H180 zenon_H1de. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.15 apply (zenon_L620_); trivial. % 0.90/1.15 apply (zenon_L265_); trivial. % 0.90/1.15 apply (zenon_L604_); trivial. % 0.90/1.15 (* end of lemma zenon_L621_ *) % 0.90/1.15 assert (zenon_L622_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((hskp26)\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((hskp25)\/(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c3_1 (a1210))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_Hef zenon_Hb4 zenon_H270 zenon_H222 zenon_H36 zenon_H34 zenon_H189 zenon_H1bd zenon_Hb zenon_H1de zenon_H180 zenon_H217 zenon_H1df zenon_H27 zenon_H24 zenon_Ha9 zenon_H25e zenon_H25d zenon_H241 zenon_H242 zenon_H243 zenon_H89 zenon_H157 zenon_H93 zenon_H94 zenon_H92 zenon_H1ec zenon_H50 zenon_H2b zenon_H19a zenon_H172 zenon_H8c zenon_H24a zenon_H5b zenon_H9d zenon_Hcd zenon_Hce zenon_H28e zenon_H1a8 zenon_H64 zenon_H139 zenon_H279 zenon_H27a zenon_H27b zenon_H228 zenon_H229 zenon_H22a zenon_H293 zenon_H159 zenon_H266 zenon_H1ea zenon_H11e. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.15 apply (zenon_L480_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.15 apply (zenon_L601_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.15 apply (zenon_L119_); trivial. % 0.90/1.15 apply (zenon_L621_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.15 apply (zenon_L601_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.15 apply (zenon_L620_); trivial. % 0.90/1.15 apply (zenon_L566_); trivial. % 0.90/1.15 apply (zenon_L608_); trivial. % 0.90/1.15 apply (zenon_L479_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.15 apply (zenon_L480_); trivial. % 0.90/1.15 apply (zenon_L618_); trivial. % 0.90/1.15 apply (zenon_L619_); trivial. % 0.90/1.15 (* end of lemma zenon_L622_ *) % 0.90/1.15 assert (zenon_L623_ : ((~(hskp3))\/((ndr1_0)/\((c0_1 (a1210))/\((c1_1 (a1210))/\(~(c3_1 (a1210))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> ((~(hskp5))\/((ndr1_0)/\((c2_1 (a1212))/\((~(c0_1 (a1212)))/\(~(c3_1 (a1212))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((hskp6)\/(hskp7))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1216)))/\((~(c2_1 (a1216)))/\(~(c3_1 (a1216))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp1)\/(hskp16))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((hskp15)\/((hskp6)\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp25)\/(hskp21)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp1)) -> ((hskp26)\/((hskp25)\/(hskp1))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp15)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp1))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a1215))/\((c2_1 (a1215))/\(~(c3_1 (a1215))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp4))\/((ndr1_0)/\((c1_1 (a1211))/\((~(c0_1 (a1211)))/\(~(c2_1 (a1211))))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H2a2 zenon_H1ea zenon_H270 zenon_H259 zenon_H293 zenon_H1de zenon_H217 zenon_H1df zenon_H295 zenon_H1ec zenon_H1f3 zenon_Hd9 zenon_H224 zenon_H12c zenon_Hf2 zenon_H127 zenon_H107 zenon_H105 zenon_H112 zenon_H11e zenon_H28c zenon_H15f zenon_H134 zenon_Hba zenon_Hb4 zenon_Ha9 zenon_H9d zenon_H7b zenon_H77 zenon_H8c zenon_H90 zenon_H7 zenon_H2b zenon_H27 zenon_Hb zenon_H30 zenon_H50 zenon_H4d zenon_H34 zenon_H36 zenon_H5b zenon_H61 zenon_H64 zenon_Hca zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_H133 zenon_H1c6 zenon_H189 zenon_H172 zenon_H181 zenon_H180 zenon_H159 zenon_H157 zenon_H155 zenon_H139 zenon_H192 zenon_H193 zenon_H1a8 zenon_H19a zenon_H1b9 zenon_H1bd zenon_H28e zenon_Hc6 zenon_H254 zenon_H23c zenon_H24a zenon_H1da zenon_H211 zenon_H222 zenon_H274. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H2a3 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H15d | zenon_intro zenon_H275 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.15 apply (zenon_L459_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_L466_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.15 apply (zenon_L465_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.15 apply (zenon_L4_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.15 apply (zenon_L71_); trivial. % 0.90/1.15 apply (zenon_L467_); trivial. % 0.90/1.15 apply (zenon_L458_); trivial. % 0.90/1.15 apply (zenon_L478_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Hf. zenon_intro zenon_H25b. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H22a. zenon_intro zenon_H25c. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H228. zenon_intro zenon_H229. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L229_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L483_); trivial. % 0.90/1.15 apply (zenon_L484_); trivial. % 0.90/1.15 apply (zenon_L281_); trivial. % 0.90/1.15 apply (zenon_L486_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L229_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.15 apply (zenon_L492_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.15 apply (zenon_L119_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.15 apply (zenon_L271_); trivial. % 0.90/1.15 apply (zenon_L479_); trivial. % 0.90/1.15 apply (zenon_L238_); trivial. % 0.90/1.15 apply (zenon_L490_); trivial. % 0.90/1.15 apply (zenon_L491_); trivial. % 0.90/1.15 apply (zenon_L484_); trivial. % 0.90/1.15 apply (zenon_L85_); trivial. % 0.90/1.15 apply (zenon_L281_); trivial. % 0.90/1.15 apply (zenon_L505_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L229_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.15 apply (zenon_L469_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L509_); trivial. % 0.90/1.15 apply (zenon_L468_); trivial. % 0.90/1.15 apply (zenon_L281_); trivial. % 0.90/1.15 apply (zenon_L477_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H243. zenon_intro zenon_H277. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H241. zenon_intro zenon_H242. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.15 apply (zenon_L520_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_L88_); trivial. % 0.90/1.15 apply (zenon_L514_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.15 apply (zenon_L523_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.15 apply (zenon_L4_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.15 apply (zenon_L71_); trivial. % 0.90/1.15 apply (zenon_L524_); trivial. % 0.90/1.15 apply (zenon_L458_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L319_); trivial. % 0.90/1.15 apply (zenon_L526_); trivial. % 0.90/1.15 apply (zenon_L89_); trivial. % 0.90/1.15 apply (zenon_L477_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Hf. zenon_intro zenon_H25b. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H22a. zenon_intro zenon_H25c. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H228. zenon_intro zenon_H229. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L229_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.15 apply (zenon_L15_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.15 apply (zenon_L22_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.15 apply (zenon_L154_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 0.90/1.15 apply (zenon_L451_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 0.90/1.15 apply (zenon_L179_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.15 apply (zenon_L179_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.15 apply (zenon_L321_); trivial. % 0.90/1.15 apply (zenon_L233_); trivial. % 0.90/1.15 apply (zenon_L21_); trivial. % 0.90/1.15 apply (zenon_L479_); trivial. % 0.90/1.15 apply (zenon_L527_); trivial. % 0.90/1.15 apply (zenon_L486_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L229_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.15 apply (zenon_L536_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L540_); trivial. % 0.90/1.15 apply (zenon_L544_); trivial. % 0.90/1.15 apply (zenon_L281_); trivial. % 0.90/1.15 apply (zenon_L562_); trivial. % 0.90/1.15 apply (zenon_L572_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_Hf. zenon_intro zenon_H2a4. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H25d. zenon_intro zenon_H2a5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H25e. zenon_intro zenon_H266. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H15d | zenon_intro zenon_H275 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.15 apply (zenon_L459_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_L466_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.15 apply (zenon_L523_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L579_); trivial. % 0.90/1.15 apply (zenon_L580_); trivial. % 0.90/1.15 apply (zenon_L522_); trivial. % 0.90/1.15 apply (zenon_L458_); trivial. % 0.90/1.15 apply (zenon_L478_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Hf. zenon_intro zenon_H25b. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H22a. zenon_intro zenon_H25c. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H228. zenon_intro zenon_H229. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L229_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L582_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.15 apply (zenon_L426_); trivial. % 0.90/1.15 apply (zenon_L584_); trivial. % 0.90/1.15 apply (zenon_L581_); trivial. % 0.90/1.15 apply (zenon_L281_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L229_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L582_); trivial. % 0.90/1.15 apply (zenon_L456_); trivial. % 0.90/1.15 apply (zenon_L485_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L229_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.15 apply (zenon_L590_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L592_); trivial. % 0.90/1.15 apply (zenon_L589_); trivial. % 0.90/1.15 apply (zenon_L85_); trivial. % 0.90/1.15 apply (zenon_L281_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L229_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.15 apply (zenon_L593_); trivial. % 0.90/1.15 apply (zenon_L504_); trivial. % 0.90/1.15 apply (zenon_L485_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L229_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L563_); trivial. % 0.90/1.15 apply (zenon_L594_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L509_); trivial. % 0.90/1.15 apply (zenon_L594_); trivial. % 0.90/1.15 apply (zenon_L281_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L177_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.15 apply (zenon_L480_); trivial. % 0.90/1.15 apply (zenon_L475_); trivial. % 0.90/1.15 apply (zenon_L456_); trivial. % 0.90/1.15 apply (zenon_L476_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H243. zenon_intro zenon_H277. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H241. zenon_intro zenon_H242. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.15 apply (zenon_L520_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.15 apply (zenon_L66_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L579_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.15 apply (zenon_L4_); trivial. % 0.90/1.15 apply (zenon_L595_); trivial. % 0.90/1.15 apply (zenon_L514_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.15 apply (zenon_L523_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L579_); trivial. % 0.90/1.15 apply (zenon_L560_); trivial. % 0.90/1.15 apply (zenon_L522_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L453_); trivial. % 0.90/1.15 apply (zenon_L561_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L417_); trivial. % 0.90/1.15 apply (zenon_L526_); trivial. % 0.90/1.15 apply (zenon_L596_); trivial. % 0.90/1.15 apply (zenon_L599_); trivial. % 0.90/1.15 apply (zenon_L514_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L177_); trivial. % 0.90/1.15 apply (zenon_L570_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Hf. zenon_intro zenon_H25b. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H22a. zenon_intro zenon_H25c. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H228. zenon_intro zenon_H229. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L229_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.15 apply (zenon_L600_); trivial. % 0.90/1.15 apply (zenon_L581_); trivial. % 0.90/1.15 apply (zenon_L527_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L582_); trivial. % 0.90/1.15 apply (zenon_L518_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L229_); trivial. % 0.90/1.15 apply (zenon_L519_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.15 apply (zenon_L229_); trivial. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.15 apply (zenon_L603_); trivial. % 0.90/1.15 apply (zenon_L619_); trivial. % 0.90/1.15 apply (zenon_L622_); trivial. % 0.90/1.15 apply (zenon_L527_); trivial. % 0.90/1.15 apply (zenon_L562_); trivial. % 0.90/1.15 apply (zenon_L572_); trivial. % 0.90/1.15 (* end of lemma zenon_L623_ *) % 0.90/1.15 assert (zenon_L624_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (c0_1 (a1206)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> False). % 0.90/1.15 do 0 intro. intros zenon_H42 zenon_Hf zenon_H2a6 zenon_H66 zenon_H2a7 zenon_H2a8. % 0.90/1.15 generalize (zenon_H42 (a1206)). zenon_intro zenon_H2a9. % 0.90/1.15 apply (zenon_imply_s _ _ zenon_H2a9); [ zenon_intro zenon_He | zenon_intro zenon_H2aa ]. % 0.90/1.15 exact (zenon_He zenon_Hf). % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2ab ]. % 0.90/1.15 exact (zenon_H2ac zenon_H2a6). % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2ad ]. % 0.90/1.15 generalize (zenon_H66 (a1206)). zenon_intro zenon_H2af. % 0.90/1.15 apply (zenon_imply_s _ _ zenon_H2af); [ zenon_intro zenon_He | zenon_intro zenon_H2b0 ]. % 0.90/1.15 exact (zenon_He zenon_Hf). % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H2b1 ]. % 0.90/1.15 exact (zenon_H2ae zenon_H2b2). % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2ac ]. % 0.90/1.15 exact (zenon_H2a7 zenon_H2b3). % 0.90/1.15 exact (zenon_H2ac zenon_H2a6). % 0.90/1.15 exact (zenon_H2ad zenon_H2a8). % 0.90/1.15 (* end of lemma zenon_L624_ *) % 0.90/1.15 assert (zenon_L625_ : ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (c0_1 (a1206)) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp22)) -> False). % 0.90/1.15 do 0 intro. intros zenon_H112 zenon_H2a8 zenon_H2a7 zenon_H66 zenon_H2a6 zenon_Hf zenon_Hd5 zenon_H2c. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H42 | zenon_intro zenon_H113 ]. % 0.90/1.15 apply (zenon_L624_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H2d ]. % 0.90/1.15 exact (zenon_Hd5 zenon_Hd6). % 0.90/1.15 exact (zenon_H2c zenon_H2d). % 0.90/1.15 (* end of lemma zenon_L625_ *) % 0.90/1.15 assert (zenon_L626_ : ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (c0_1 (a1206)) -> (c0_1 (a1259)) -> (~(c3_1 (a1259))) -> (~(c2_1 (a1259))) -> (ndr1_0) -> False). % 0.90/1.15 do 0 intro. intros zenon_H4d zenon_H2a8 zenon_H2a7 zenon_H66 zenon_H2a6 zenon_H3b zenon_H3a zenon_H39 zenon_Hf. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H38 | zenon_intro zenon_H42 ]. % 0.90/1.15 apply (zenon_L19_); trivial. % 0.90/1.15 apply (zenon_L624_); trivial. % 0.90/1.15 (* end of lemma zenon_L626_ *) % 0.90/1.15 assert (zenon_L627_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp17)) -> (~(hskp5)) -> False). % 0.90/1.15 do 0 intro. intros zenon_H5d zenon_H77 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H4d zenon_H75 zenon_H5. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H66 | zenon_intro zenon_H78 ]. % 0.90/1.15 apply (zenon_L626_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H76 | zenon_intro zenon_H6 ]. % 0.90/1.15 exact (zenon_H75 zenon_H76). % 0.90/1.15 exact (zenon_H5 zenon_H6). % 0.90/1.15 (* end of lemma zenon_L627_ *) % 0.90/1.15 assert (zenon_L628_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H61 zenon_H4d zenon_H112 zenon_Hd5 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_Hf zenon_H75 zenon_H5 zenon_H77. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H66 | zenon_intro zenon_H78 ]. % 0.90/1.15 apply (zenon_L625_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H76 | zenon_intro zenon_H6 ]. % 0.90/1.15 exact (zenon_H75 zenon_H76). % 0.90/1.15 exact (zenon_H5 zenon_H6). % 0.90/1.15 apply (zenon_L627_); trivial. % 0.90/1.15 (* end of lemma zenon_L628_ *) % 0.90/1.15 assert (zenon_L629_ : (forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))) -> (ndr1_0) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> False). % 0.90/1.15 do 0 intro. intros zenon_H14f zenon_Hf zenon_H2a7 zenon_H2a6 zenon_H2a8. % 0.90/1.15 generalize (zenon_H14f (a1206)). zenon_intro zenon_H2b4. % 0.90/1.15 apply (zenon_imply_s _ _ zenon_H2b4); [ zenon_intro zenon_He | zenon_intro zenon_H2b5 ]. % 0.90/1.15 exact (zenon_He zenon_Hf). % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2b6 ]. % 0.90/1.15 exact (zenon_H2a7 zenon_H2b3). % 0.90/1.15 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2ad ]. % 0.90/1.15 exact (zenon_H2ac zenon_H2a6). % 0.90/1.15 exact (zenon_H2ad zenon_H2a8). % 0.90/1.15 (* end of lemma zenon_L629_ *) % 0.90/1.15 assert (zenon_L630_ : ((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H182 zenon_H254 zenon_H54 zenon_H53 zenon_H52 zenon_H2a8 zenon_H2a6 zenon_H2a7. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.15 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H51 | zenon_intro zenon_H255 ]. % 0.90/1.15 apply (zenon_L23_); trivial. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H14f | zenon_intro zenon_Hf3 ]. % 0.90/1.15 apply (zenon_L629_); trivial. % 0.90/1.15 apply (zenon_L109_); trivial. % 0.90/1.15 (* end of lemma zenon_L630_ *) % 0.90/1.15 assert (zenon_L631_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(hskp26)) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H180 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H54 zenon_H53 zenon_H52 zenon_H32 zenon_H135 zenon_H1df. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.15 apply (zenon_L154_); trivial. % 0.90/1.15 apply (zenon_L630_); trivial. % 0.90/1.15 (* end of lemma zenon_L631_ *) % 0.90/1.15 assert (zenon_L632_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp22)) -> (~(hskp13)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1257))) -> (~(c1_1 (a1257))) -> (c3_1 (a1257)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.90/1.15 do 0 intro. intros zenon_H50 zenon_H112 zenon_H2c zenon_Hd5 zenon_H1df zenon_H135 zenon_H52 zenon_H53 zenon_H54 zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H254 zenon_H180. % 0.90/1.15 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.15 apply (zenon_L631_); trivial. % 0.90/1.15 apply (zenon_L74_); trivial. % 0.90/1.16 (* end of lemma zenon_L632_ *) % 0.90/1.16 assert (zenon_L633_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (c0_1 (a1206)) -> (c1_1 (a1206)) -> (c2_1 (a1206)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H42 zenon_Hf zenon_H2a6 zenon_H2b2 zenon_H2a8. % 0.90/1.16 generalize (zenon_H42 (a1206)). zenon_intro zenon_H2a9. % 0.90/1.16 apply (zenon_imply_s _ _ zenon_H2a9); [ zenon_intro zenon_He | zenon_intro zenon_H2aa ]. % 0.90/1.16 exact (zenon_He zenon_Hf). % 0.90/1.16 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2ab ]. % 0.90/1.16 exact (zenon_H2ac zenon_H2a6). % 0.90/1.16 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2ad ]. % 0.90/1.16 exact (zenon_H2ae zenon_H2b2). % 0.90/1.16 exact (zenon_H2ad zenon_H2a8). % 0.90/1.16 (* end of lemma zenon_L633_ *) % 0.90/1.16 assert (zenon_L634_ : (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74)))))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H7c zenon_Hf zenon_H42 zenon_H2a6 zenon_H2a8 zenon_H2a7. % 0.90/1.16 generalize (zenon_H7c (a1206)). zenon_intro zenon_H2b7. % 0.90/1.16 apply (zenon_imply_s _ _ zenon_H2b7); [ zenon_intro zenon_He | zenon_intro zenon_H2b8 ]. % 0.90/1.16 exact (zenon_He zenon_Hf). % 0.90/1.16 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H2b9 ]. % 0.90/1.16 apply (zenon_L633_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2ad ]. % 0.90/1.16 exact (zenon_H2a7 zenon_H2b3). % 0.90/1.16 exact (zenon_H2ad zenon_H2a8). % 0.90/1.16 (* end of lemma zenon_L634_ *) % 0.90/1.16 assert (zenon_L635_ : ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (ndr1_0) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74)))))) -> (~(hskp13)) -> (~(hskp22)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H112 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hf zenon_H7c zenon_Hd5 zenon_H2c. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H42 | zenon_intro zenon_H113 ]. % 0.90/1.16 apply (zenon_L634_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H2d ]. % 0.90/1.16 exact (zenon_Hd5 zenon_Hd6). % 0.90/1.16 exact (zenon_H2c zenon_H2d). % 0.90/1.16 (* end of lemma zenon_L635_ *) % 0.90/1.16 assert (zenon_L636_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> (~(hskp9)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H5d zenon_H8c zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H4d zenon_H82 zenon_H81 zenon_H80 zenon_H89. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H38 | zenon_intro zenon_H42 ]. % 0.90/1.16 apply (zenon_L19_); trivial. % 0.90/1.16 apply (zenon_L634_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.90/1.16 apply (zenon_L34_); trivial. % 0.90/1.16 exact (zenon_H89 zenon_H8a). % 0.90/1.16 (* end of lemma zenon_L636_ *) % 0.90/1.16 assert (zenon_L637_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H60 zenon_H61 zenon_H82 zenon_H81 zenon_H80 zenon_H4d zenon_H50 zenon_H112 zenon_Hd5 zenon_H1df zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H254 zenon_H180 zenon_H8c zenon_H89 zenon_H15d zenon_H15f zenon_H159. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.16 apply (zenon_L632_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H51 | zenon_intro zenon_H160 ]. % 0.90/1.16 apply (zenon_L23_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H38 | zenon_intro zenon_H15e ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.90/1.16 apply (zenon_L635_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.90/1.16 apply (zenon_L128_); trivial. % 0.90/1.16 exact (zenon_H89 zenon_H8a). % 0.90/1.16 exact (zenon_H15d zenon_H15e). % 0.90/1.16 apply (zenon_L636_); trivial. % 0.90/1.16 (* end of lemma zenon_L637_ *) % 0.90/1.16 assert (zenon_L638_ : ((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_Hc5 zenon_H90 zenon_H64 zenon_H50 zenon_H1df zenon_H254 zenon_H180 zenon_H8c zenon_H89 zenon_H15d zenon_H15f zenon_H159 zenon_Hb zenon_H24 zenon_H27 zenon_H2b zenon_H77 zenon_H5 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd5 zenon_H112 zenon_H4d zenon_H61. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.90/1.16 apply (zenon_L628_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.16 apply (zenon_L12_); trivial. % 0.90/1.16 apply (zenon_L637_); trivial. % 0.90/1.16 (* end of lemma zenon_L638_ *) % 0.90/1.16 assert (zenon_L639_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((hskp15)\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp25)\/(hskp21)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_Hf2 zenon_H7 zenon_H5 zenon_H3 zenon_H61 zenon_H4d zenon_H112 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H77 zenon_H2b zenon_H27 zenon_H24 zenon_Hb zenon_H159 zenon_H15f zenon_H15d zenon_H89 zenon_H8c zenon_H180 zenon_H254 zenon_H1df zenon_H50 zenon_H64 zenon_H90 zenon_Hca. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.16 apply (zenon_L4_); trivial. % 0.90/1.16 apply (zenon_L638_); trivial. % 0.90/1.16 apply (zenon_L65_); trivial. % 0.90/1.16 (* end of lemma zenon_L639_ *) % 0.90/1.16 assert (zenon_L640_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> (c0_1 (a1204)) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (~(hskp9)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H8c zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H1c zenon_H1d zenon_H1b zenon_Hf zenon_H42 zenon_H89. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.90/1.16 apply (zenon_L634_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.90/1.16 apply (zenon_L45_); trivial. % 0.90/1.16 exact (zenon_H89 zenon_H8a). % 0.90/1.16 (* end of lemma zenon_L640_ *) % 0.90/1.16 assert (zenon_L641_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(hskp9)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H26 zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H94 zenon_H93 zenon_H92 zenon_H8c zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H89. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.16 apply (zenon_L41_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.16 apply (zenon_L38_); trivial. % 0.90/1.16 apply (zenon_L640_); trivial. % 0.90/1.16 (* end of lemma zenon_L641_ *) % 0.90/1.16 assert (zenon_L642_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H2b zenon_Ha9 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H89 zenon_H8c zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_Hc zenon_Hb. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.16 apply (zenon_L6_); trivial. % 0.90/1.16 apply (zenon_L641_); trivial. % 0.90/1.16 (* end of lemma zenon_L642_ *) % 0.90/1.16 assert (zenon_L643_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1257))) -> (~(c1_1 (a1257))) -> (c3_1 (a1257)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H50 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H1df zenon_H135 zenon_H52 zenon_H53 zenon_H54 zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H254 zenon_H180. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.16 apply (zenon_L631_); trivial. % 0.90/1.16 apply (zenon_L42_); trivial. % 0.90/1.16 (* end of lemma zenon_L643_ *) % 0.90/1.16 assert (zenon_L644_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (c0_1 (a1267)) -> (~(c1_1 (a1267))) -> (~(c2_1 (a1267))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (~(hskp9)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H8c zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H42 zenon_H13e zenon_H13c zenon_H13d zenon_Hf zenon_H38 zenon_H89. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.90/1.16 apply (zenon_L634_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.90/1.16 apply (zenon_L128_); trivial. % 0.90/1.16 exact (zenon_H89 zenon_H8a). % 0.90/1.16 (* end of lemma zenon_L644_ *) % 0.90/1.16 assert (zenon_L645_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (c0_1 (a1267)) -> (~(c1_1 (a1267))) -> (~(c2_1 (a1267))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (~(hskp9)) -> False). % 0.90/1.16 do 0 intro. intros zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H94 zenon_H93 zenon_H92 zenon_H8c zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H13e zenon_H13c zenon_H13d zenon_Hf zenon_H38 zenon_H89. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.16 apply (zenon_L41_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.16 apply (zenon_L38_); trivial. % 0.90/1.16 apply (zenon_L644_); trivial. % 0.90/1.16 (* end of lemma zenon_L645_ *) % 0.90/1.16 assert (zenon_L646_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_Hb7 zenon_H64 zenon_H159 zenon_H15f zenon_H15d zenon_H180 zenon_H254 zenon_H1df zenon_H50 zenon_Hb zenon_H92 zenon_H93 zenon_H94 zenon_H8c zenon_H89 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Ha9 zenon_H2b. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.16 apply (zenon_L642_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.16 apply (zenon_L643_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H51 | zenon_intro zenon_H160 ]. % 0.90/1.16 apply (zenon_L23_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H38 | zenon_intro zenon_H15e ]. % 0.90/1.16 apply (zenon_L645_); trivial. % 0.90/1.16 exact (zenon_H15d zenon_H15e). % 0.90/1.16 (* end of lemma zenon_L646_ *) % 0.90/1.16 assert (zenon_L647_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H64 zenon_H159 zenon_H15f zenon_H15d zenon_H180 zenon_H254 zenon_H1df zenon_H50 zenon_Hb zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Ha9 zenon_H2b zenon_H9d zenon_H7b zenon_H5 zenon_H77 zenon_H89 zenon_H8c zenon_H90. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.16 apply (zenon_L37_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.16 apply (zenon_L40_); trivial. % 0.90/1.16 apply (zenon_L646_); trivial. % 0.90/1.16 (* end of lemma zenon_L647_ *) % 0.90/1.16 assert (zenon_L648_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp13)\/(hskp6))) -> (~(hskp22)) -> (ndr1_0) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(hskp6)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H2ba zenon_H2c zenon_Hf zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H112 zenon_Hd5 zenon_H3. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H7c | zenon_intro zenon_H2bb ]. % 0.90/1.16 apply (zenon_L635_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H4 ]. % 0.90/1.16 exact (zenon_Hd5 zenon_Hd6). % 0.90/1.16 exact (zenon_H3 zenon_H4). % 0.90/1.16 (* end of lemma zenon_L648_ *) % 0.90/1.16 assert (zenon_L649_ : (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80)))))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H11f zenon_Hf zenon_H42 zenon_H2a6 zenon_H2a8. % 0.90/1.16 generalize (zenon_H11f (a1206)). zenon_intro zenon_H2bc. % 0.90/1.16 apply (zenon_imply_s _ _ zenon_H2bc); [ zenon_intro zenon_He | zenon_intro zenon_H2bd ]. % 0.90/1.16 exact (zenon_He zenon_Hf). % 0.90/1.16 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H2b6 ]. % 0.90/1.16 apply (zenon_L633_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2ad ]. % 0.90/1.16 exact (zenon_H2ac zenon_H2a6). % 0.90/1.16 exact (zenon_H2ad zenon_H2a8). % 0.90/1.16 (* end of lemma zenon_L649_ *) % 0.90/1.16 assert (zenon_L650_ : ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80)))))) -> (c0_1 (a1259)) -> (~(c3_1 (a1259))) -> (~(c2_1 (a1259))) -> (ndr1_0) -> False). % 0.90/1.16 do 0 intro. intros zenon_H4d zenon_H2a8 zenon_H2a6 zenon_H11f zenon_H3b zenon_H3a zenon_H39 zenon_Hf. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H38 | zenon_intro zenon_H42 ]. % 0.90/1.16 apply (zenon_L19_); trivial. % 0.90/1.16 apply (zenon_L649_); trivial. % 0.90/1.16 (* end of lemma zenon_L650_ *) % 0.90/1.16 assert (zenon_L651_ : (forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67)))))) -> (ndr1_0) -> (~(c2_1 (a1233))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H1e3 zenon_Hf zenon_H11 zenon_H123 zenon_H12 zenon_H13. % 0.90/1.16 generalize (zenon_H1e3 (a1233)). zenon_intro zenon_H2be. % 0.90/1.16 apply (zenon_imply_s _ _ zenon_H2be); [ zenon_intro zenon_He | zenon_intro zenon_H2bf ]. % 0.90/1.16 exact (zenon_He zenon_Hf). % 0.90/1.16 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H17 | zenon_intro zenon_H2c0 ]. % 0.90/1.16 exact (zenon_H11 zenon_H17). % 0.90/1.16 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H284 | zenon_intro zenon_H18 ]. % 0.90/1.16 apply (zenon_L460_); trivial. % 0.90/1.16 exact (zenon_H18 zenon_H13). % 0.90/1.16 (* end of lemma zenon_L651_ *) % 0.90/1.16 assert (zenon_L652_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(c2_1 (a1259))) -> (~(c3_1 (a1259))) -> (c0_1 (a1259)) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (ndr1_0) -> (forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67)))))) -> (~(hskp6)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H127 zenon_H39 zenon_H3a zenon_H3b zenon_H2a6 zenon_H2a8 zenon_H4d zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H1e3 zenon_H3. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H11f | zenon_intro zenon_H128 ]. % 0.90/1.16 apply (zenon_L650_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H4 ]. % 0.90/1.16 apply (zenon_L651_); trivial. % 0.90/1.16 exact (zenon_H3 zenon_H4). % 0.90/1.16 (* end of lemma zenon_L652_ *) % 0.90/1.16 assert (zenon_L653_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> (~(hskp6)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp19)) -> (~(hskp20)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H5d zenon_H270 zenon_H3 zenon_H11 zenon_H12 zenon_H13 zenon_H4d zenon_H2a8 zenon_H2a6 zenon_H127 zenon_H137 zenon_H196. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H271 ]. % 0.90/1.16 apply (zenon_L652_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H138 | zenon_intro zenon_H197 ]. % 0.90/1.16 exact (zenon_H137 zenon_H138). % 0.90/1.16 exact (zenon_H196 zenon_H197). % 0.90/1.16 (* end of lemma zenon_L653_ *) % 0.90/1.16 assert (zenon_L654_ : ((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H1b8 zenon_H7b zenon_H79 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H65 | zenon_intro zenon_H7a ]. % 0.90/1.16 apply (zenon_L207_); trivial. % 0.90/1.16 exact (zenon_H79 zenon_H7a). % 0.90/1.16 (* end of lemma zenon_L654_ *) % 0.90/1.16 assert (zenon_L655_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (ndr1_0) -> (forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67)))))) -> (~(hskp6)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H127 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H1e3 zenon_H3. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H11f | zenon_intro zenon_H128 ]. % 0.90/1.16 apply (zenon_L83_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H4 ]. % 0.90/1.16 apply (zenon_L651_); trivial. % 0.90/1.16 exact (zenon_H3 zenon_H4). % 0.90/1.16 (* end of lemma zenon_L655_ *) % 0.90/1.16 assert (zenon_L656_ : ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> (~(hskp6)) -> (ndr1_0) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp19)) -> (~(hskp20)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H270 zenon_H3 zenon_Hf zenon_H11 zenon_H12 zenon_H13 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H127 zenon_H137 zenon_H196. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H271 ]. % 0.90/1.16 apply (zenon_L655_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H138 | zenon_intro zenon_H197 ]. % 0.90/1.16 exact (zenon_H137 zenon_H138). % 0.90/1.16 exact (zenon_H196 zenon_H197). % 0.90/1.16 (* end of lemma zenon_L656_ *) % 0.90/1.16 assert (zenon_L657_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H1bd zenon_H7b zenon_H79 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_H127 zenon_H3 zenon_H13 zenon_H12 zenon_H11 zenon_Hdd zenon_Hdc zenon_Hdb zenon_Hf zenon_H137 zenon_H270. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.16 apply (zenon_L656_); trivial. % 0.90/1.16 apply (zenon_L654_); trivial. % 0.90/1.16 (* end of lemma zenon_L657_ *) % 0.90/1.16 assert (zenon_L658_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((hskp15)\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp13)\/(hskp6))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((hskp22)\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp2)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_Hf2 zenon_H7 zenon_H5 zenon_H3 zenon_H1bd zenon_H7b zenon_H79 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_H2ba zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H112 zenon_H127 zenon_H4d zenon_H270 zenon_H61 zenon_H30 zenon_H2e zenon_H50 zenon_H1df zenon_H1ca zenon_H1e1 zenon_H180 zenon_H172 zenon_H1ea zenon_H159 zenon_H189 zenon_Hca. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.16 apply (zenon_L4_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.16 apply (zenon_L648_); trivial. % 0.90/1.16 apply (zenon_L653_); trivial. % 0.90/1.16 apply (zenon_L654_); trivial. % 0.90/1.16 apply (zenon_L245_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.16 apply (zenon_L4_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.16 apply (zenon_L657_); trivial. % 0.90/1.16 apply (zenon_L245_); trivial. % 0.90/1.16 (* end of lemma zenon_L658_ *) % 0.90/1.16 assert (zenon_L659_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (~(hskp14)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H15a zenon_H155 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H9b. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H13b | zenon_intro zenon_H156 ]. % 0.90/1.16 apply (zenon_L95_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H9c ]. % 0.90/1.16 apply (zenon_L629_); trivial. % 0.90/1.16 exact (zenon_H9b zenon_H9c). % 0.90/1.16 (* end of lemma zenon_L659_ *) % 0.90/1.16 assert (zenon_L660_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H5d zenon_H159 zenon_H155 zenon_H9b zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H180 zenon_H1e1 zenon_H2e zenon_H1ca zenon_H1df zenon_H4d zenon_H50. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.16 apply (zenon_L243_); trivial. % 0.90/1.16 apply (zenon_L659_); trivial. % 0.90/1.16 (* end of lemma zenon_L660_ *) % 0.90/1.16 assert (zenon_L661_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp6)) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H61 zenon_H159 zenon_H155 zenon_H9b zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H180 zenon_H1e1 zenon_H1ca zenon_H1df zenon_H4d zenon_H50 zenon_H3 zenon_H2e zenon_H30. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.16 apply (zenon_L15_); trivial. % 0.90/1.16 apply (zenon_L660_); trivial. % 0.90/1.16 (* end of lemma zenon_L661_ *) % 0.90/1.16 assert (zenon_L662_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c1_1 (a1247)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (~(c1_1 (a1267))) -> (~(c2_1 (a1267))) -> (c0_1 (a1267)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H1ec zenon_H16b zenon_H163 zenon_H164 zenon_H13c zenon_H13d zenon_H13e zenon_H1ea zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H1c8. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.16 apply (zenon_L160_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.16 apply (zenon_L8_); trivial. % 0.90/1.16 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.16 (* end of lemma zenon_L662_ *) % 0.90/1.16 assert (zenon_L663_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H15a zenon_H1de zenon_Ha9 zenon_H211 zenon_H1f1 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H217 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H1ea zenon_H16b zenon_H164 zenon_H163 zenon_H11 zenon_H12 zenon_H13 zenon_H1ec. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.16 apply (zenon_L662_); trivial. % 0.90/1.16 apply (zenon_L214_); trivial. % 0.90/1.16 (* end of lemma zenon_L663_ *) % 0.90/1.16 assert (zenon_L664_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp6)) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H186 zenon_H61 zenon_H159 zenon_H1de zenon_Ha9 zenon_H211 zenon_H1f1 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H217 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H1ea zenon_H11 zenon_H12 zenon_H13 zenon_H1ec zenon_H180 zenon_H1e1 zenon_H1ca zenon_H1df zenon_H4d zenon_H50 zenon_H3 zenon_H2e zenon_H30. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.16 apply (zenon_L15_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.16 apply (zenon_L243_); trivial. % 0.90/1.16 apply (zenon_L663_); trivial. % 0.90/1.16 (* end of lemma zenon_L664_ *) % 0.90/1.16 assert (zenon_L665_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 0.90/1.16 do 0 intro. intros zenon_Hb7 zenon_Hca zenon_H189 zenon_H61 zenon_H159 zenon_H1ea zenon_H1ec zenon_H180 zenon_H1e1 zenon_H1df zenon_H4d zenon_H50 zenon_H2e zenon_H30 zenon_H1cc zenon_H1ca zenon_H92 zenon_H93 zenon_H94 zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_Ha9 zenon_H1de zenon_H3 zenon_H5 zenon_H7. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.16 apply (zenon_L4_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.16 apply (zenon_L215_); trivial. % 0.90/1.16 apply (zenon_L664_); trivial. % 0.90/1.16 (* end of lemma zenon_L665_ *) % 0.90/1.16 assert (zenon_L666_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (~(hskp6)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H5d zenon_H127 zenon_H2a6 zenon_H2a8 zenon_H4d zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_H3. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H11f | zenon_intro zenon_H128 ]. % 0.90/1.16 apply (zenon_L650_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H4 ]. % 0.90/1.16 apply (zenon_L84_); trivial. % 0.90/1.16 exact (zenon_H3 zenon_H4). % 0.90/1.16 (* end of lemma zenon_L666_ *) % 0.90/1.16 assert (zenon_L667_ : ((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp13)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H129 zenon_Hf2 zenon_H2ba zenon_H3 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H112 zenon_H4d zenon_H127 zenon_H61. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.16 apply (zenon_L648_); trivial. % 0.90/1.16 apply (zenon_L666_); trivial. % 0.90/1.16 apply (zenon_L85_); trivial. % 0.90/1.16 (* end of lemma zenon_L667_ *) % 0.90/1.16 assert (zenon_L668_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp13)\/(hskp6))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((hskp15)\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp25)\/(hskp21)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H12c zenon_Hf2 zenon_H2ba zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H112 zenon_H4d zenon_H127 zenon_H61 zenon_H7 zenon_H5 zenon_H3 zenon_H2b zenon_H27 zenon_H24 zenon_Hb zenon_H28c zenon_Hce zenon_Hcd zenon_Hcc zenon_H15d zenon_H15f zenon_H64 zenon_Hca. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.16 apply (zenon_L465_); trivial. % 0.90/1.16 apply (zenon_L667_); trivial. % 0.90/1.16 (* end of lemma zenon_L668_ *) % 0.90/1.16 assert (zenon_L669_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> ((hskp25)\/(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp13)\/(hskp6))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H134 zenon_Hba zenon_Hb4 zenon_H159 zenon_H180 zenon_H254 zenon_H1df zenon_H50 zenon_Ha9 zenon_H9d zenon_H7b zenon_H77 zenon_H89 zenon_H8c zenon_H90 zenon_Hca zenon_H64 zenon_H15f zenon_H15d zenon_Hcc zenon_Hcd zenon_Hce zenon_H28c zenon_Hb zenon_H27 zenon_H2b zenon_H3 zenon_H5 zenon_H7 zenon_H61 zenon_H127 zenon_H4d zenon_H112 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H2ba zenon_Hf2 zenon_H12c. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.16 apply (zenon_L668_); trivial. % 0.90/1.16 apply (zenon_L647_); trivial. % 0.90/1.16 (* end of lemma zenon_L669_ *) % 0.90/1.16 assert (zenon_L670_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (ndr1_0) -> (~(c1_1 (a1237))) -> (c0_1 (a1237)) -> (c3_1 (a1237)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H282 zenon_Hcd zenon_Hcc zenon_H13b zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hf zenon_H80 zenon_H81 zenon_H82. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.90/1.16 apply (zenon_L493_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 0.90/1.16 apply (zenon_L50_); trivial. % 0.90/1.16 apply (zenon_L34_); trivial. % 0.90/1.16 (* end of lemma zenon_L670_ *) % 0.90/1.16 assert (zenon_L671_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (~(c2_1 (a1233))) -> (ndr1_0) -> (~(c3_1 (a1247))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c2_1 (a1247))) -> (c1_1 (a1247)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H1ea zenon_H82 zenon_H81 zenon_H80 zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hcc zenon_Hcd zenon_H282 zenon_H13 zenon_H12 zenon_H123 zenon_H11 zenon_Hf zenon_H164 zenon_H161 zenon_H163 zenon_H16b. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H13b | zenon_intro zenon_H1eb ]. % 0.90/1.16 apply (zenon_L670_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e7 ]. % 0.90/1.16 apply (zenon_L651_); trivial. % 0.90/1.16 apply (zenon_L159_); trivial. % 0.90/1.16 (* end of lemma zenon_L671_ *) % 0.90/1.16 assert (zenon_L672_ : ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(c3_1 (a1216))) -> (c1_1 (a1247)) -> (~(c2_1 (a1247))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c3_1 (a1247))) -> (ndr1_0) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c1_1 (a1237))) -> (c0_1 (a1237)) -> (c3_1 (a1237)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(hskp12)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H28c zenon_Hce zenon_H16b zenon_H163 zenon_H161 zenon_H164 zenon_Hf zenon_H11 zenon_H12 zenon_H13 zenon_H282 zenon_Hcd zenon_Hcc zenon_Hbe zenon_Hbd zenon_Hbc zenon_H80 zenon_H81 zenon_H82 zenon_H1ea zenon_Hd7. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hcb | zenon_intro zenon_H28d ]. % 0.90/1.16 apply (zenon_L53_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H123 | zenon_intro zenon_Hd8 ]. % 0.90/1.16 apply (zenon_L671_); trivial. % 0.90/1.16 exact (zenon_Hd7 zenon_Hd8). % 0.90/1.16 (* end of lemma zenon_L672_ *) % 0.90/1.16 assert (zenon_L673_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (c1_1 (a1247)) -> (~(c3_1 (a1216))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H1ec zenon_Hd7 zenon_H1ea zenon_H82 zenon_H81 zenon_H80 zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hcc zenon_Hcd zenon_H282 zenon_H164 zenon_H163 zenon_H16b zenon_Hce zenon_H28c zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H1c8. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.16 apply (zenon_L672_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.16 apply (zenon_L8_); trivial. % 0.90/1.16 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.16 (* end of lemma zenon_L673_ *) % 0.90/1.16 assert (zenon_L674_ : ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c1_1 (a1213)) -> (c3_1 (a1213)) -> (c2_1 (a1213)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H4d zenon_H1d1 zenon_H1d3 zenon_H1d2 zenon_H1ee zenon_Hf zenon_Hcc zenon_Hcd zenon_Hce zenon_H11 zenon_H12 zenon_Hd7 zenon_H28c. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H38 | zenon_intro zenon_H42 ]. % 0.90/1.16 apply (zenon_L462_); trivial. % 0.90/1.16 apply (zenon_L183_); trivial. % 0.90/1.16 (* end of lemma zenon_L674_ *) % 0.90/1.16 assert (zenon_L675_ : ((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (c1_1 (a1213)) -> (c2_1 (a1213)) -> (c3_1 (a1213)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H182 zenon_H217 zenon_H1f1 zenon_H4d zenon_Hcc zenon_Hcd zenon_Hce zenon_H11 zenon_H12 zenon_Hd7 zenon_H28c zenon_Hbc zenon_Hbd zenon_Hbe zenon_H211 zenon_H1d1 zenon_H1d2 zenon_H1d3. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H65 | zenon_intro zenon_H218 ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H18a | zenon_intro zenon_H1f4 ]. % 0.90/1.16 apply (zenon_L175_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1f2 ]. % 0.90/1.16 apply (zenon_L674_); trivial. % 0.90/1.16 exact (zenon_H1f1 zenon_H1f2). % 0.90/1.16 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1d0 ]. % 0.90/1.16 apply (zenon_L109_); trivial. % 0.90/1.16 apply (zenon_L150_); trivial. % 0.90/1.16 (* end of lemma zenon_L675_ *) % 0.90/1.16 assert (zenon_L676_ : ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1208)) -> (c1_1 (a1208)) -> (c0_1 (a1208)) -> (c0_1 (a1233)) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (~(c2_1 (a1233))) -> (ndr1_0) -> False). % 0.90/1.16 do 0 intro. intros zenon_H4d zenon_H45 zenon_H44 zenon_H43 zenon_H12 zenon_H123 zenon_H11 zenon_Hf. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H38 | zenon_intro zenon_H42 ]. % 0.90/1.16 apply (zenon_L461_); trivial. % 0.90/1.16 apply (zenon_L20_); trivial. % 0.90/1.16 (* end of lemma zenon_L676_ *) % 0.90/1.16 assert (zenon_L677_ : ((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp12)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H4c zenon_H28c zenon_Hce zenon_Hcd zenon_Hcc zenon_H11 zenon_H12 zenon_H4d zenon_Hd7. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hcb | zenon_intro zenon_H28d ]. % 0.90/1.16 apply (zenon_L53_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H123 | zenon_intro zenon_Hd8 ]. % 0.90/1.16 apply (zenon_L676_); trivial. % 0.90/1.16 exact (zenon_Hd7 zenon_Hd8). % 0.90/1.16 (* end of lemma zenon_L677_ *) % 0.90/1.16 assert (zenon_L678_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H15a zenon_H1de zenon_H180 zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H4d zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd7 zenon_H28c zenon_H1f1 zenon_H211 zenon_H172 zenon_H1ea zenon_H16b zenon_H164 zenon_H163 zenon_H11 zenon_H12 zenon_H13 zenon_H1ec. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.16 apply (zenon_L662_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.16 apply (zenon_L218_); trivial. % 0.90/1.16 apply (zenon_L675_); trivial. % 0.90/1.16 (* end of lemma zenon_L678_ *) % 0.90/1.16 assert (zenon_L679_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H186 zenon_H159 zenon_H172 zenon_H1de zenon_H180 zenon_H217 zenon_H4d zenon_H1f1 zenon_H211 zenon_H1df zenon_H28c zenon_Hd7 zenon_H282 zenon_H82 zenon_H81 zenon_H80 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H11 zenon_H12 zenon_H13 zenon_H1ea zenon_Hce zenon_Hcd zenon_Hcc zenon_H1ec zenon_H50. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.16 apply (zenon_L673_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.16 apply (zenon_L154_); trivial. % 0.90/1.16 apply (zenon_L675_); trivial. % 0.90/1.16 apply (zenon_L677_); trivial. % 0.90/1.16 apply (zenon_L678_); trivial. % 0.90/1.16 (* end of lemma zenon_L679_ *) % 0.90/1.16 assert (zenon_L680_ : ((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H8b zenon_H189 zenon_H159 zenon_H172 zenon_H1de zenon_H180 zenon_H217 zenon_H4d zenon_H1df zenon_H28c zenon_Hd7 zenon_H282 zenon_H1ea zenon_Hce zenon_Hcd zenon_Hcc zenon_H1ec zenon_H50 zenon_H270 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H11 zenon_H12 zenon_H13 zenon_H3 zenon_H127 zenon_H211 zenon_H1f1 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H79 zenon_H7b zenon_H1bd. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.16 apply (zenon_L657_); trivial. % 0.90/1.16 apply (zenon_L679_); trivial. % 0.90/1.16 (* end of lemma zenon_L680_ *) % 0.90/1.16 assert (zenon_L681_ : ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (c0_1 (a1206)) -> (c0_1 (a1233)) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (~(c2_1 (a1233))) -> (ndr1_0) -> False). % 0.90/1.16 do 0 intro. intros zenon_H4d zenon_H2a8 zenon_H2a7 zenon_H66 zenon_H2a6 zenon_H12 zenon_H123 zenon_H11 zenon_Hf. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H38 | zenon_intro zenon_H42 ]. % 0.90/1.16 apply (zenon_L461_); trivial. % 0.90/1.16 apply (zenon_L624_); trivial. % 0.90/1.16 (* end of lemma zenon_L681_ *) % 0.90/1.16 assert (zenon_L682_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (ndr1_0) -> (~(c2_1 (a1233))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (c0_1 (a1233)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp17)) -> (~(hskp5)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H77 zenon_Hf zenon_H11 zenon_H123 zenon_H12 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H4d zenon_H75 zenon_H5. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H66 | zenon_intro zenon_H78 ]. % 0.90/1.16 apply (zenon_L681_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H76 | zenon_intro zenon_H6 ]. % 0.90/1.16 exact (zenon_H75 zenon_H76). % 0.90/1.16 exact (zenon_H5 zenon_H6). % 0.90/1.16 (* end of lemma zenon_L682_ *) % 0.90/1.16 assert (zenon_L683_ : ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (~(hskp5)) -> (~(hskp17)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp12)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H28c zenon_Hce zenon_Hcd zenon_Hcc zenon_H5 zenon_H75 zenon_H4d zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H12 zenon_H11 zenon_Hf zenon_H77 zenon_Hd7. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hcb | zenon_intro zenon_H28d ]. % 0.90/1.16 apply (zenon_L53_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H123 | zenon_intro zenon_Hd8 ]. % 0.90/1.16 apply (zenon_L682_); trivial. % 0.90/1.16 exact (zenon_Hd7 zenon_Hd8). % 0.90/1.16 (* end of lemma zenon_L683_ *) % 0.90/1.16 assert (zenon_L684_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H186 zenon_H1de zenon_Ha9 zenon_H211 zenon_H1f1 zenon_H217 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H28c zenon_Hd7 zenon_H282 zenon_H82 zenon_H81 zenon_H80 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H11 zenon_H12 zenon_H13 zenon_H1ea zenon_Hce zenon_Hcd zenon_Hcc zenon_H1ec. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.16 apply (zenon_L673_); trivial. % 0.90/1.16 apply (zenon_L214_); trivial. % 0.90/1.16 (* end of lemma zenon_L684_ *) % 0.90/1.16 assert (zenon_L685_ : ((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H8b zenon_H189 zenon_H28c zenon_Hd7 zenon_H282 zenon_H11 zenon_H12 zenon_H13 zenon_H1ea zenon_Hce zenon_Hcd zenon_Hcc zenon_H1ec zenon_H1cc zenon_H1ca zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_Ha9 zenon_H1de. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.16 apply (zenon_L215_); trivial. % 0.90/1.16 apply (zenon_L684_); trivial. % 0.90/1.16 (* end of lemma zenon_L685_ *) % 0.90/1.16 assert (zenon_L686_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 0.90/1.16 do 0 intro. intros zenon_Hb7 zenon_Hca zenon_H90 zenon_H189 zenon_H282 zenon_H1ea zenon_H1ec zenon_H1cc zenon_H1ca zenon_H92 zenon_H93 zenon_H94 zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_Ha9 zenon_H1de zenon_Hcc zenon_Hcd zenon_Hce zenon_H77 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H4d zenon_Hd7 zenon_H28c zenon_H3 zenon_H5 zenon_H7. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.16 apply (zenon_L4_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.90/1.16 apply (zenon_L683_); trivial. % 0.90/1.16 apply (zenon_L685_); trivial. % 0.90/1.16 (* end of lemma zenon_L686_ *) % 0.90/1.16 assert (zenon_L687_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H127 zenon_H2a8 zenon_H2a6 zenon_H42 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_Hf zenon_H3. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H11f | zenon_intro zenon_H128 ]. % 0.90/1.16 apply (zenon_L649_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H4 ]. % 0.90/1.16 apply (zenon_L84_); trivial. % 0.90/1.16 exact (zenon_H3 zenon_H4). % 0.90/1.16 (* end of lemma zenon_L687_ *) % 0.90/1.16 assert (zenon_L688_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (~(hskp6)) -> False). % 0.90/1.16 do 0 intro. intros zenon_Hb7 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_H127 zenon_H2a8 zenon_H2a6 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_H3. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.16 apply (zenon_L41_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.16 apply (zenon_L38_); trivial. % 0.90/1.16 apply (zenon_L687_); trivial. % 0.90/1.16 (* end of lemma zenon_L688_ *) % 0.90/1.16 assert (zenon_L689_ : ((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H129 zenon_Hb4 zenon_Ha9 zenon_H2a6 zenon_H2a8 zenon_H3 zenon_H127 zenon_H67 zenon_H68 zenon_H69 zenon_H92 zenon_H93 zenon_H94 zenon_H9d. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.16 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.16 apply (zenon_L40_); trivial. % 0.90/1.16 apply (zenon_L688_); trivial. % 0.90/1.16 (* end of lemma zenon_L689_ *) % 0.90/1.16 assert (zenon_L690_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (~(hskp19)) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H159 zenon_H155 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H137 zenon_H9b zenon_H139. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.16 apply (zenon_L94_); trivial. % 0.90/1.16 apply (zenon_L659_); trivial. % 0.90/1.16 (* end of lemma zenon_L690_ *) % 0.90/1.16 assert (zenon_L691_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H90 zenon_H189 zenon_H64 zenon_H50 zenon_H1df zenon_H254 zenon_H8c zenon_H89 zenon_H15d zenon_H15f zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H9b zenon_H155 zenon_H159 zenon_H77 zenon_H5 zenon_Hf zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd5 zenon_H112 zenon_H4d zenon_H61. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.90/1.16 apply (zenon_L628_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.16 apply (zenon_L690_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.16 apply (zenon_L111_); trivial. % 0.90/1.16 apply (zenon_L637_); trivial. % 0.90/1.16 (* end of lemma zenon_L691_ *) % 0.90/1.16 assert (zenon_L692_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (~(hskp17)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H60 zenon_H180 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H77 zenon_H5 zenon_H75 zenon_H27 zenon_H24 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H16b zenon_H164 zenon_H163 zenon_H89 zenon_H8c zenon_H172. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.16 apply (zenon_L135_); trivial. % 0.90/1.16 apply (zenon_L630_); trivial. % 0.90/1.16 (* end of lemma zenon_L692_ *) % 0.90/1.16 assert (zenon_L693_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (~(hskp17)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H186 zenon_H64 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H77 zenon_H5 zenon_H75 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H89 zenon_H8c zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.16 apply (zenon_L111_); trivial. % 0.90/1.16 apply (zenon_L692_); trivial. % 0.90/1.16 (* end of lemma zenon_L693_ *) % 0.90/1.16 assert (zenon_L694_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (~(hskp17)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H189 zenon_H64 zenon_H254 zenon_H77 zenon_H5 zenon_H75 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H89 zenon_H8c zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H9b zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.16 apply (zenon_L690_); trivial. % 0.90/1.16 apply (zenon_L693_); trivial. % 0.90/1.16 (* end of lemma zenon_L694_ *) % 0.90/1.16 assert (zenon_L695_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H60 zenon_H180 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H8c zenon_H89 zenon_H82 zenon_H81 zenon_H80 zenon_H163 zenon_H164 zenon_H16b zenon_Hdb zenon_Hdc zenon_Hdd zenon_H24 zenon_H27 zenon_H172. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.16 apply (zenon_L141_); trivial. % 0.90/1.16 apply (zenon_L630_); trivial. % 0.90/1.16 (* end of lemma zenon_L695_ *) % 0.90/1.16 assert (zenon_L696_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H186 zenon_H64 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H8c zenon_H89 zenon_H82 zenon_H81 zenon_H80 zenon_Hdb zenon_Hdc zenon_Hdd zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.16 apply (zenon_L111_); trivial. % 0.90/1.16 apply (zenon_L695_); trivial. % 0.90/1.16 (* end of lemma zenon_L696_ *) % 0.90/1.16 assert (zenon_L697_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp25)\/(hskp21)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H90 zenon_H159 zenon_H155 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H9b zenon_H139 zenon_H2b zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H27 zenon_H24 zenon_H172 zenon_Hb zenon_H8c zenon_H89 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H5 zenon_H77 zenon_H254 zenon_H64 zenon_H189. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.90/1.16 apply (zenon_L694_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.16 apply (zenon_L690_); trivial. % 0.90/1.16 apply (zenon_L696_); trivial. % 0.90/1.16 (* end of lemma zenon_L697_ *) % 0.90/1.16 assert (zenon_L698_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c3_1 (a1213)) -> (c1_1 (a1213)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H192 zenon_H1d3 zenon_H1d1 zenon_Hf3 zenon_H150 zenon_H148 zenon_H147 zenon_Hf zenon_H79. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H18a | zenon_intro zenon_H194 ]. % 0.90/1.16 apply (zenon_L185_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H173 | zenon_intro zenon_H7a ]. % 0.90/1.16 apply (zenon_L108_); trivial. % 0.90/1.16 exact (zenon_H79 zenon_H7a). % 0.90/1.16 (* end of lemma zenon_L698_ *) % 0.90/1.16 assert (zenon_L699_ : ((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(hskp11)) -> False). % 0.90/1.16 do 0 intro. intros zenon_H1db zenon_H254 zenon_H54 zenon_H53 zenon_H52 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H192 zenon_H150 zenon_H148 zenon_H147 zenon_H79. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H51 | zenon_intro zenon_H255 ]. % 0.90/1.16 apply (zenon_L23_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H14f | zenon_intro zenon_Hf3 ]. % 0.90/1.16 apply (zenon_L629_); trivial. % 0.90/1.16 apply (zenon_L698_); trivial. % 0.90/1.16 (* end of lemma zenon_L699_ *) % 0.90/1.16 assert (zenon_L700_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H186 zenon_H64 zenon_H1de zenon_H254 zenon_H79 zenon_H192 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H8c zenon_H89 zenon_H82 zenon_H81 zenon_H80 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H11 zenon_H12 zenon_H13 zenon_H1ec zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.16 apply (zenon_L111_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.16 apply (zenon_L140_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.16 apply (zenon_L8_); trivial. % 0.90/1.16 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.16 apply (zenon_L699_); trivial. % 0.90/1.16 (* end of lemma zenon_L700_ *) % 0.90/1.16 assert (zenon_L701_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> False). % 0.90/1.16 do 0 intro. intros zenon_H11b zenon_H90 zenon_H8c zenon_H89 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H4d zenon_H5 zenon_H77. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.90/1.16 apply (zenon_L73_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H38 | zenon_intro zenon_H42 ]. % 0.90/1.16 apply (zenon_L76_); trivial. % 0.90/1.16 apply (zenon_L634_); trivial. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.90/1.16 apply (zenon_L34_); trivial. % 0.90/1.16 exact (zenon_H89 zenon_H8a). % 0.90/1.16 (* end of lemma zenon_L701_ *) % 0.90/1.16 assert (zenon_L702_ : ((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 0.90/1.16 do 0 intro. intros zenon_Hc5 zenon_H11e zenon_H4d zenon_H189 zenon_H64 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H77 zenon_H5 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H89 zenon_H8c zenon_Hb zenon_H24 zenon_H27 zenon_H2b zenon_H1a8 zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H172 zenon_H19a zenon_H1b9 zenon_H79 zenon_H192 zenon_H1bd zenon_H1ec zenon_H1de zenon_H90. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.16 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.16 apply (zenon_L126_); trivial. % 0.90/1.16 apply (zenon_L693_); trivial. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.90/1.16 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.90/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.16 apply (zenon_L126_); trivial. % 0.90/1.16 apply (zenon_L700_); trivial. % 0.90/1.16 apply (zenon_L701_); trivial. % 0.90/1.16 (* end of lemma zenon_L702_ *) % 0.90/1.16 assert (zenon_L703_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp15)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_Hef zenon_Hb4 zenon_Hca zenon_H11e zenon_H4d zenon_H1a8 zenon_H19a zenon_H1b9 zenon_H1bd zenon_H1ec zenon_H1de zenon_H193 zenon_H15d zenon_H79 zenon_H192 zenon_H189 zenon_H64 zenon_H254 zenon_H77 zenon_H5 zenon_H89 zenon_H8c zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159 zenon_H90. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.17 apply (zenon_L697_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.17 apply (zenon_L116_); trivial. % 0.90/1.17 apply (zenon_L702_); trivial. % 0.90/1.17 (* end of lemma zenon_L703_ *) % 0.90/1.17 assert (zenon_L704_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_Hef zenon_Hb4 zenon_H15f zenon_H15d zenon_H1df zenon_H50 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H189 zenon_H64 zenon_H254 zenon_H77 zenon_H5 zenon_H89 zenon_H8c zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159 zenon_H90. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.17 apply (zenon_L697_); trivial. % 0.90/1.17 apply (zenon_L646_); trivial. % 0.90/1.17 (* end of lemma zenon_L704_ *) % 0.90/1.17 assert (zenon_L705_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_Hb3 zenon_Hf2 zenon_H90 zenon_H189 zenon_H64 zenon_H50 zenon_H1df zenon_H254 zenon_H8c zenon_H89 zenon_H15d zenon_H15f zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H155 zenon_H159 zenon_H77 zenon_H5 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H112 zenon_H4d zenon_H61 zenon_Ha9 zenon_Hb4. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.17 apply (zenon_L691_); trivial. % 0.90/1.17 apply (zenon_L646_); trivial. % 0.90/1.17 apply (zenon_L704_); trivial. % 0.90/1.17 (* end of lemma zenon_L705_ *) % 0.90/1.17 assert (zenon_L706_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp15)\/(hskp4))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (ndr1_0) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp25)\/(hskp21)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_Hba zenon_Ha9 zenon_Hb4 zenon_Hca zenon_H193 zenon_H192 zenon_H61 zenon_H4d zenon_H112 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_Hf zenon_H5 zenon_H77 zenon_H159 zenon_H155 zenon_H139 zenon_H2b zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H27 zenon_H24 zenon_H172 zenon_Hb zenon_H15f zenon_H15d zenon_H89 zenon_H8c zenon_H254 zenon_H1df zenon_H50 zenon_H64 zenon_H189 zenon_H90 zenon_H1de zenon_H1ec zenon_H1bd zenon_H1b9 zenon_H19a zenon_H1a8 zenon_H11e zenon_Hf2. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.17 apply (zenon_L691_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.17 apply (zenon_L116_); trivial. % 0.90/1.17 apply (zenon_L638_); trivial. % 0.90/1.17 apply (zenon_L703_); trivial. % 0.90/1.17 apply (zenon_L705_); trivial. % 0.90/1.17 (* end of lemma zenon_L706_ *) % 0.90/1.17 assert (zenon_L707_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp10))) -> (~(hskp11)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H2c1 zenon_H79 zenon_H147 zenon_H148 zenon_H150 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H192 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_Hf zenon_H24. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H65 | zenon_intro zenon_H2c2 ]. % 0.90/1.17 apply (zenon_L176_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H14f | zenon_intro zenon_H25 ]. % 0.90/1.17 apply (zenon_L629_); trivial. % 0.90/1.17 exact (zenon_H24 zenon_H25). % 0.90/1.17 (* end of lemma zenon_L707_ *) % 0.90/1.17 assert (zenon_L708_ : ((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H4c zenon_H254 zenon_H54 zenon_H53 zenon_H52 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_Ha9 zenon_H94 zenon_H93 zenon_H92. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_Hf. zenon_intro zenon_H4e. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H43. zenon_intro zenon_H4f. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H44. zenon_intro zenon_H45. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H51 | zenon_intro zenon_H255 ]. % 0.90/1.17 apply (zenon_L23_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H14f | zenon_intro zenon_Hf3 ]. % 0.90/1.17 apply (zenon_L629_); trivial. % 0.90/1.17 apply (zenon_L189_); trivial. % 0.90/1.17 (* end of lemma zenon_L708_ *) % 0.90/1.17 assert (zenon_L709_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1257))) -> (~(c1_1 (a1257))) -> (c3_1 (a1257)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H50 zenon_H93 zenon_H94 zenon_H92 zenon_Ha9 zenon_H1df zenon_H135 zenon_H52 zenon_H53 zenon_H54 zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H254 zenon_H180. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.17 apply (zenon_L631_); trivial. % 0.90/1.17 apply (zenon_L708_); trivial. % 0.90/1.17 (* end of lemma zenon_L709_ *) % 0.90/1.17 assert (zenon_L710_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H186 zenon_H64 zenon_H159 zenon_H155 zenon_H9b zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H1df zenon_Ha9 zenon_H92 zenon_H94 zenon_H93 zenon_H50 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.17 apply (zenon_L111_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.17 apply (zenon_L709_); trivial. % 0.90/1.17 apply (zenon_L659_); trivial. % 0.90/1.17 (* end of lemma zenon_L710_ *) % 0.90/1.17 assert (zenon_L711_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (ndr1_0) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H222 zenon_H150 zenon_H148 zenon_H147 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H42 zenon_H161 zenon_Hf zenon_Hcd zenon_Hce. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H145 | zenon_intro zenon_H223 ]. % 0.90/1.17 apply (zenon_L149_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H66 | zenon_intro zenon_H38 ]. % 0.90/1.17 apply (zenon_L624_); trivial. % 0.90/1.17 apply (zenon_L195_); trivial. % 0.90/1.17 (* end of lemma zenon_L711_ *) % 0.90/1.17 assert (zenon_L712_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (ndr1_0) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> False). % 0.90/1.17 do 0 intro. intros zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H94 zenon_H93 zenon_H92 zenon_H222 zenon_H150 zenon_H148 zenon_H147 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H161 zenon_Hf zenon_Hcd zenon_Hce. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.17 apply (zenon_L41_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.17 apply (zenon_L38_); trivial. % 0.90/1.17 apply (zenon_L711_); trivial. % 0.90/1.17 (* end of lemma zenon_L712_ *) % 0.90/1.17 assert (zenon_L713_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp28)) -> (ndr1_0) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H172 zenon_H170 zenon_Hf zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_H222 zenon_Hce zenon_Hcd zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H150 zenon_H148 zenon_H147 zenon_Ha9. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H161 | zenon_intro zenon_H171 ]. % 0.90/1.17 apply (zenon_L712_); trivial. % 0.90/1.17 exact (zenon_H170 zenon_H171). % 0.90/1.17 (* end of lemma zenon_L713_ *) % 0.90/1.17 assert (zenon_L714_ : ((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H182 zenon_H181 zenon_Hce zenon_Hcd zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H222 zenon_H92 zenon_H93 zenon_H94 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_Ha9 zenon_H150 zenon_H148 zenon_H147. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H161 | zenon_intro zenon_H185 ]. % 0.90/1.17 apply (zenon_L712_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H173 | zenon_intro zenon_Hf3 ]. % 0.90/1.17 apply (zenon_L108_); trivial. % 0.90/1.17 apply (zenon_L109_); trivial. % 0.90/1.17 (* end of lemma zenon_L714_ *) % 0.90/1.17 assert (zenon_L715_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> False). % 0.90/1.17 do 0 intro. intros zenon_Hb7 zenon_H180 zenon_H181 zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hcd zenon_Hce zenon_H222 zenon_H94 zenon_H93 zenon_H92 zenon_H172. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.17 apply (zenon_L713_); trivial. % 0.90/1.17 apply (zenon_L714_); trivial. % 0.90/1.17 (* end of lemma zenon_L715_ *) % 0.90/1.17 assert (zenon_L716_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 0.90/1.17 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_H180 zenon_H181 zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hcd zenon_Hce zenon_H222 zenon_H172 zenon_H67 zenon_H68 zenon_H69 zenon_H9d. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.17 apply (zenon_L40_); trivial. % 0.90/1.17 apply (zenon_L715_); trivial. % 0.90/1.17 (* end of lemma zenon_L716_ *) % 0.90/1.17 assert (zenon_L717_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H180 zenon_H181 zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hcd zenon_Hce zenon_H222 zenon_H172 zenon_H9d zenon_H7b zenon_H5 zenon_H77 zenon_H89 zenon_H8c zenon_H90. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.17 apply (zenon_L37_); trivial. % 0.90/1.17 apply (zenon_L716_); trivial. % 0.90/1.17 (* end of lemma zenon_L717_ *) % 0.90/1.17 assert (zenon_L718_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp15)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H134 zenon_Hcd zenon_Hce zenon_H222 zenon_H9d zenon_H7b zenon_Hf2 zenon_H11e zenon_H1a8 zenon_H19a zenon_H1b9 zenon_H1bd zenon_H1ec zenon_H1de zenon_H90 zenon_H189 zenon_H64 zenon_H50 zenon_H1df zenon_H254 zenon_H8c zenon_H89 zenon_H15d zenon_H15f zenon_Hb zenon_H172 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H155 zenon_H159 zenon_H77 zenon_H5 zenon_Hf zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H112 zenon_H4d zenon_H61 zenon_H192 zenon_H193 zenon_Hca zenon_Hb4 zenon_Ha9 zenon_Hba. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.17 apply (zenon_L706_); trivial. % 0.90/1.17 apply (zenon_L717_); trivial. % 0.90/1.17 (* end of lemma zenon_L718_ *) % 0.90/1.17 assert (zenon_L719_ : (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c0_1 (a1237)) -> (c3_1 (a1237)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H123 zenon_Hf zenon_H1a zenon_H81 zenon_H82. % 0.90/1.17 generalize (zenon_H123 (a1237)). zenon_intro zenon_H2c3. % 0.90/1.17 apply (zenon_imply_s _ _ zenon_H2c3); [ zenon_intro zenon_He | zenon_intro zenon_H2c4 ]. % 0.90/1.17 exact (zenon_He zenon_Hf). % 0.90/1.17 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H85 ]. % 0.90/1.17 generalize (zenon_H1a (a1237)). zenon_intro zenon_H2c6. % 0.90/1.17 apply (zenon_imply_s _ _ zenon_H2c6); [ zenon_intro zenon_He | zenon_intro zenon_H2c7 ]. % 0.90/1.17 exact (zenon_He zenon_Hf). % 0.90/1.17 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H88 | zenon_intro zenon_H2c8 ]. % 0.90/1.17 exact (zenon_H88 zenon_H81). % 0.90/1.17 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H2c9 | zenon_intro zenon_H87 ]. % 0.90/1.17 exact (zenon_H2c9 zenon_H2c5). % 0.90/1.17 exact (zenon_H87 zenon_H82). % 0.90/1.17 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H88 | zenon_intro zenon_H87 ]. % 0.90/1.17 exact (zenon_H88 zenon_H81). % 0.90/1.17 exact (zenon_H87 zenon_H82). % 0.90/1.17 (* end of lemma zenon_L719_ *) % 0.90/1.17 assert (zenon_L720_ : ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c2_1 (a1247))) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (~(hskp10)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H27 zenon_H16b zenon_H164 zenon_H161 zenon_H163 zenon_H82 zenon_H81 zenon_Hf zenon_H123 zenon_H24. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H10 | zenon_intro zenon_H2a ]. % 0.90/1.17 apply (zenon_L104_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H1a | zenon_intro zenon_H25 ]. % 0.90/1.17 apply (zenon_L719_); trivial. % 0.90/1.17 exact (zenon_H24 zenon_H25). % 0.90/1.17 (* end of lemma zenon_L720_ *) % 0.90/1.17 assert (zenon_L721_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp28)) -> (ndr1_0) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (c0_1 (a1237)) -> (c3_1 (a1237)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H172 zenon_H170 zenon_Hf zenon_H163 zenon_H164 zenon_H16b zenon_H123 zenon_H81 zenon_H82 zenon_H24 zenon_H27. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H161 | zenon_intro zenon_H171 ]. % 0.90/1.17 apply (zenon_L720_); trivial. % 0.90/1.17 exact (zenon_H170 zenon_H171). % 0.90/1.17 (* end of lemma zenon_L721_ *) % 0.90/1.17 assert (zenon_L722_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (c0_1 (a1237)) -> (c3_1 (a1237)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H60 zenon_H180 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_Hcc zenon_Hcd zenon_Hce zenon_H172 zenon_H163 zenon_H164 zenon_H16b zenon_H81 zenon_H82 zenon_H24 zenon_H27 zenon_Hd7 zenon_H28c. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hcb | zenon_intro zenon_H28d ]. % 0.90/1.17 apply (zenon_L53_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H123 | zenon_intro zenon_Hd8 ]. % 0.90/1.17 apply (zenon_L721_); trivial. % 0.90/1.17 exact (zenon_Hd7 zenon_Hd8). % 0.90/1.17 apply (zenon_L630_); trivial. % 0.90/1.17 (* end of lemma zenon_L722_ *) % 0.90/1.17 assert (zenon_L723_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (c0_1 (a1237)) -> (c3_1 (a1237)) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H186 zenon_H64 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_Hcc zenon_Hcd zenon_Hce zenon_H81 zenon_H82 zenon_Hd7 zenon_H28c zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.17 apply (zenon_L111_); trivial. % 0.90/1.17 apply (zenon_L722_); trivial. % 0.90/1.17 (* end of lemma zenon_L723_ *) % 0.90/1.17 assert (zenon_L724_ : ((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H8b zenon_H189 zenon_H64 zenon_H254 zenon_Hcc zenon_Hcd zenon_Hce zenon_Hd7 zenon_H28c zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H9b zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.17 apply (zenon_L690_); trivial. % 0.90/1.17 apply (zenon_L723_); trivial. % 0.90/1.17 (* end of lemma zenon_L724_ *) % 0.90/1.17 assert (zenon_L725_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_Hb4 zenon_Ha9 zenon_H222 zenon_H94 zenon_H93 zenon_H92 zenon_H189 zenon_H1bd zenon_H64 zenon_H1f3 zenon_H1f1 zenon_Hb zenon_H24 zenon_H27 zenon_H2b zenon_H19a zenon_H172 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H1a8 zenon_H139 zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159 zenon_H77 zenon_H5 zenon_H28c zenon_Hd7 zenon_Hce zenon_Hcd zenon_Hcc zenon_H254 zenon_H90 zenon_H11e. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.17 apply (zenon_L690_); trivial. % 0.90/1.17 apply (zenon_L167_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.90/1.17 apply (zenon_L73_); trivial. % 0.90/1.17 apply (zenon_L724_); trivial. % 0.90/1.17 apply (zenon_L715_); trivial. % 0.90/1.17 (* end of lemma zenon_L725_ *) % 0.90/1.17 assert (zenon_L726_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (ndr1_0) -> (c0_1 (a1228)) -> (forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7)))))) -> (~(c2_1 (a1228))) -> (c3_1 (a1228)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H254 zenon_H54 zenon_H53 zenon_H52 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_Hf zenon_Hf4 zenon_Hf5 zenon_Hf6 zenon_Hf7. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H51 | zenon_intro zenon_H255 ]. % 0.90/1.17 apply (zenon_L23_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H14f | zenon_intro zenon_Hf3 ]. % 0.90/1.17 apply (zenon_L629_); trivial. % 0.90/1.17 apply (zenon_L67_); trivial. % 0.90/1.17 (* end of lemma zenon_L726_ *) % 0.90/1.17 assert (zenon_L727_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp15)\/(hskp4))) -> (c3_1 (a1228)) -> (~(c2_1 (a1228))) -> (c0_1 (a1228)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> (~(hskp4)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H60 zenon_H193 zenon_Hf7 zenon_Hf6 zenon_Hf4 zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H254 zenon_H1 zenon_H15d. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H195 ]. % 0.90/1.17 apply (zenon_L726_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H2 | zenon_intro zenon_H15e ]. % 0.90/1.17 exact (zenon_H1 zenon_H2). % 0.90/1.17 exact (zenon_H15d zenon_H15e). % 0.90/1.17 (* end of lemma zenon_L727_ *) % 0.90/1.17 assert (zenon_L728_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c3_1 (a1228)) -> (~(c2_1 (a1228))) -> (c0_1 (a1228)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H155 zenon_Hf7 zenon_Hf6 zenon_Hf4 zenon_Hf3 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_Hf zenon_H9b. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H13b | zenon_intro zenon_H156 ]. % 0.90/1.17 apply (zenon_L343_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H9c ]. % 0.90/1.17 apply (zenon_L629_); trivial. % 0.90/1.17 exact (zenon_H9b zenon_H9c). % 0.90/1.17 (* end of lemma zenon_L728_ *) % 0.90/1.17 assert (zenon_L729_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c3_1 (a1228)) -> (~(c2_1 (a1228))) -> (c0_1 (a1228)) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (~(hskp14)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H60 zenon_H254 zenon_H155 zenon_Hf7 zenon_Hf6 zenon_Hf4 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H9b. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H51 | zenon_intro zenon_H255 ]. % 0.90/1.17 apply (zenon_L23_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H14f | zenon_intro zenon_Hf3 ]. % 0.90/1.17 apply (zenon_L629_); trivial. % 0.90/1.17 apply (zenon_L728_); trivial. % 0.90/1.17 (* end of lemma zenon_L729_ *) % 0.90/1.17 assert (zenon_L730_ : ((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (c3_1 (a1228)) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_Hc5 zenon_H64 zenon_H254 zenon_Hf4 zenon_Hf6 zenon_Hf7 zenon_H9b zenon_H155 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_Hb zenon_H24 zenon_H27 zenon_H2b. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.17 apply (zenon_L12_); trivial. % 0.90/1.17 apply (zenon_L729_); trivial. % 0.90/1.17 (* end of lemma zenon_L730_ *) % 0.90/1.17 assert (zenon_L731_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H180 zenon_H181 zenon_Ha9 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hcd zenon_Hce zenon_H222 zenon_H172 zenon_H9d zenon_H192 zenon_H150 zenon_H148 zenon_H147 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H7b. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.17 apply (zenon_L177_); trivial. % 0.90/1.17 apply (zenon_L716_); trivial. % 0.90/1.17 (* end of lemma zenon_L731_ *) % 0.90/1.17 assert (zenon_L732_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp10))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H2c1 zenon_H22a zenon_H229 zenon_H228 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_Hf zenon_H24. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H65 | zenon_intro zenon_H2c2 ]. % 0.90/1.17 apply (zenon_L228_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H14f | zenon_intro zenon_H25 ]. % 0.90/1.17 apply (zenon_L629_); trivial. % 0.90/1.17 exact (zenon_H24 zenon_H25). % 0.90/1.17 (* end of lemma zenon_L732_ *) % 0.90/1.17 assert (zenon_L733_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (c3_1 (a1214)) -> (c0_1 (a1214)) -> (c1_1 (a1214)) -> (ndr1_0) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (~(hskp6)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H127 zenon_H2a8 zenon_H2a6 zenon_H42 zenon_H179 zenon_H177 zenon_H178 zenon_Hf zenon_H1d0 zenon_H3. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H11f | zenon_intro zenon_H128 ]. % 0.90/1.17 apply (zenon_L649_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H4 ]. % 0.90/1.17 apply (zenon_L231_); trivial. % 0.90/1.17 exact (zenon_H3 zenon_H4). % 0.90/1.17 (* end of lemma zenon_L733_ *) % 0.90/1.17 assert (zenon_L734_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (c3_1 (a1214)) -> (c0_1 (a1214)) -> (c1_1 (a1214)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H127 zenon_H2a8 zenon_H2a6 zenon_H42 zenon_H179 zenon_H177 zenon_H178 zenon_Hf zenon_H3. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H65 | zenon_intro zenon_H218 ]. % 0.90/1.17 apply (zenon_L228_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1d0 ]. % 0.90/1.17 apply (zenon_L109_); trivial. % 0.90/1.17 apply (zenon_L733_); trivial. % 0.90/1.17 (* end of lemma zenon_L734_ *) % 0.90/1.17 assert (zenon_L735_ : ((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(hskp6)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H182 zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H94 zenon_H93 zenon_H92 zenon_H217 zenon_H22a zenon_H229 zenon_H228 zenon_H127 zenon_H2a8 zenon_H2a6 zenon_H3. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hf. zenon_intro zenon_H183. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H177. zenon_intro zenon_H184. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.17 apply (zenon_L41_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.17 apply (zenon_L38_); trivial. % 0.90/1.17 apply (zenon_L734_); trivial. % 0.90/1.17 (* end of lemma zenon_L735_ *) % 0.90/1.17 assert (zenon_L736_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(hskp26)) -> (~(hskp24)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H180 zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H2a8 zenon_H2a6 zenon_H217 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H32 zenon_H135 zenon_H1df. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.17 apply (zenon_L154_); trivial. % 0.90/1.17 apply (zenon_L735_); trivial. % 0.90/1.17 (* end of lemma zenon_L736_ *) % 0.90/1.17 assert (zenon_L737_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H50 zenon_H1df zenon_H135 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_H217 zenon_H2a6 zenon_H2a8 zenon_H3 zenon_H127 zenon_H22a zenon_H229 zenon_H228 zenon_Ha9 zenon_H180. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H32 | zenon_intro zenon_H4c ]. % 0.90/1.17 apply (zenon_L736_); trivial. % 0.90/1.17 apply (zenon_L42_); trivial. % 0.90/1.17 (* end of lemma zenon_L737_ *) % 0.90/1.17 assert (zenon_L738_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (c0_1 (a1267)) -> (~(c2_1 (a1267))) -> (~(c1_1 (a1267))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp27)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H180 zenon_Ha9 zenon_H228 zenon_H229 zenon_H22a zenon_H127 zenon_H3 zenon_H2a8 zenon_H2a6 zenon_H217 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H1ea zenon_H16b zenon_H164 zenon_H163 zenon_H13e zenon_H13d zenon_H13c zenon_Hf zenon_H172 zenon_H1c8 zenon_H1ec. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.17 apply (zenon_L161_); trivial. % 0.90/1.17 apply (zenon_L735_); trivial. % 0.90/1.17 (* end of lemma zenon_L738_ *) % 0.90/1.17 assert (zenon_L739_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (ndr1_0) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp10))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H134 zenon_Hba zenon_Hb4 zenon_H189 zenon_H159 zenon_H1ec zenon_H172 zenon_H1ea zenon_H180 zenon_H127 zenon_H3 zenon_H1df zenon_H50 zenon_H1cc zenon_H1ca zenon_H217 zenon_H1f1 zenon_H211 zenon_Ha9 zenon_H1de zenon_H9d zenon_H7b zenon_Hf zenon_H228 zenon_H229 zenon_H22a zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H2c1. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.17 apply (zenon_L732_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.17 apply (zenon_L229_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.17 apply (zenon_L40_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.17 apply (zenon_L242_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.17 apply (zenon_L737_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.17 apply (zenon_L738_); trivial. % 0.90/1.17 apply (zenon_L251_); trivial. % 0.90/1.17 (* end of lemma zenon_L739_ *) % 0.90/1.17 assert (zenon_L740_ : ((ndr1_0)/\((~(c1_1 (a1216)))/\((~(c2_1 (a1216)))/\(~(c3_1 (a1216)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp10))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H225 zenon_H134 zenon_Hba zenon_Hb4 zenon_H180 zenon_H181 zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H222 zenon_H172 zenon_H9d zenon_H7b zenon_H228 zenon_H229 zenon_H22a zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H2c1. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.17 apply (zenon_L732_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.17 apply (zenon_L229_); trivial. % 0.90/1.17 apply (zenon_L716_); trivial. % 0.90/1.17 (* end of lemma zenon_L740_ *) % 0.90/1.17 assert (zenon_L741_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (~(hskp22)) -> (~(hskp13)) -> (ndr1_0) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp25)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_H2c zenon_Hd5 zenon_Hf zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H112 zenon_H9. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H240 | zenon_intro zenon_H24b ]. % 0.90/1.17 apply (zenon_L314_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H66 | zenon_intro zenon_Ha ]. % 0.90/1.17 apply (zenon_L625_); trivial. % 0.90/1.17 exact (zenon_H9 zenon_Ha). % 0.90/1.17 (* end of lemma zenon_L741_ *) % 0.90/1.17 assert (zenon_L742_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (ndr1_0) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp22)) -> (~(hskp13)) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H2b zenon_H27 zenon_H24 zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H241 zenon_H242 zenon_H243 zenon_H112 zenon_H2c zenon_Hd5 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H24a. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.17 apply (zenon_L741_); trivial. % 0.90/1.17 apply (zenon_L11_); trivial. % 0.90/1.17 (* end of lemma zenon_L742_ *) % 0.90/1.17 assert (zenon_L743_ : ((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_Hc5 zenon_H90 zenon_H8c zenon_H89 zenon_H2b zenon_H27 zenon_H24 zenon_H241 zenon_H242 zenon_H243 zenon_H112 zenon_Hd5 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H24a zenon_H4d zenon_H5 zenon_H77 zenon_H61. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.17 apply (zenon_L742_); trivial. % 0.90/1.17 apply (zenon_L627_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.17 apply (zenon_L742_); trivial. % 0.90/1.17 apply (zenon_L636_); trivial. % 0.90/1.17 (* end of lemma zenon_L743_ *) % 0.90/1.17 assert (zenon_L744_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 0.90/1.17 do 0 intro. intros zenon_Hca zenon_H90 zenon_H8c zenon_H89 zenon_H2b zenon_H27 zenon_H24 zenon_H241 zenon_H242 zenon_H243 zenon_H112 zenon_Hd5 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H24a zenon_H4d zenon_H77 zenon_H61 zenon_H3 zenon_H5 zenon_H7. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.17 apply (zenon_L4_); trivial. % 0.90/1.17 apply (zenon_L743_); trivial. % 0.90/1.17 (* end of lemma zenon_L744_ *) % 0.90/1.17 assert (zenon_L745_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (ndr1_0) -> (c0_1 (a1206)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> False). % 0.90/1.17 do 0 intro. intros zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H94 zenon_H93 zenon_H92 zenon_Hf zenon_H2a6 zenon_H66 zenon_H2a7 zenon_H2a8. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.17 apply (zenon_L41_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.17 apply (zenon_L38_); trivial. % 0.90/1.17 apply (zenon_L624_); trivial. % 0.90/1.17 (* end of lemma zenon_L745_ *) % 0.90/1.17 assert (zenon_L746_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (ndr1_0) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp25)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_Hf zenon_H92 zenon_H93 zenon_H94 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_Ha9 zenon_H9. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H240 | zenon_intro zenon_H24b ]. % 0.90/1.17 apply (zenon_L314_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H66 | zenon_intro zenon_Ha ]. % 0.90/1.17 apply (zenon_L745_); trivial. % 0.90/1.17 exact (zenon_H9 zenon_Ha). % 0.90/1.17 (* end of lemma zenon_L746_ *) % 0.90/1.17 assert (zenon_L747_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 0.90/1.17 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_H2b zenon_H89 zenon_H8c zenon_H241 zenon_H242 zenon_H243 zenon_Ha9 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H24a zenon_H67 zenon_H68 zenon_H69 zenon_H9d. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.17 apply (zenon_L40_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.17 apply (zenon_L746_); trivial. % 0.90/1.17 apply (zenon_L47_); trivial. % 0.90/1.17 (* end of lemma zenon_L747_ *) % 0.90/1.17 assert (zenon_L748_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H2b zenon_H241 zenon_H242 zenon_H243 zenon_Ha9 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H24a zenon_H9d zenon_H7b zenon_H5 zenon_H77 zenon_H89 zenon_H8c zenon_H90. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.17 apply (zenon_L37_); trivial. % 0.90/1.17 apply (zenon_L747_); trivial. % 0.90/1.17 (* end of lemma zenon_L748_ *) % 0.90/1.17 assert (zenon_L749_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H134 zenon_Hba zenon_Hb4 zenon_Ha9 zenon_H9d zenon_H7b zenon_Hca zenon_H90 zenon_H8c zenon_H89 zenon_H2b zenon_H27 zenon_H241 zenon_H242 zenon_H243 zenon_H112 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H24a zenon_H4d zenon_H77 zenon_H61 zenon_H3 zenon_H5 zenon_H7 zenon_Hf2. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.17 apply (zenon_L744_); trivial. % 0.90/1.17 apply (zenon_L65_); trivial. % 0.90/1.17 apply (zenon_L748_); trivial. % 0.90/1.17 (* end of lemma zenon_L749_ *) % 0.90/1.17 assert (zenon_L750_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H15a zenon_H1de zenon_Ha9 zenon_H211 zenon_H1f1 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H217 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H1ea zenon_H16b zenon_H164 zenon_H163 zenon_H11 zenon_H12 zenon_H13 zenon_H1ec. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.17 apply (zenon_L662_); trivial. % 0.90/1.17 apply (zenon_L351_); trivial. % 0.90/1.17 (* end of lemma zenon_L750_ *) % 0.90/1.17 assert (zenon_L751_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp6)) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H186 zenon_H61 zenon_H159 zenon_H1de zenon_Ha9 zenon_H211 zenon_H1f1 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H217 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H1ea zenon_H11 zenon_H12 zenon_H13 zenon_H1ec zenon_H180 zenon_H1e1 zenon_H1ca zenon_H1df zenon_H4d zenon_H50 zenon_H3 zenon_H2e zenon_H30. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.17 apply (zenon_L15_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 0.90/1.17 apply (zenon_L243_); trivial. % 0.90/1.17 apply (zenon_L750_); trivial. % 0.90/1.17 (* end of lemma zenon_L751_ *) % 0.90/1.17 assert (zenon_L752_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 0.90/1.17 do 0 intro. intros zenon_Hb7 zenon_Hca zenon_H189 zenon_H61 zenon_H159 zenon_H1ea zenon_H1ec zenon_H180 zenon_H1e1 zenon_H1df zenon_H4d zenon_H50 zenon_H2e zenon_H30 zenon_H1cc zenon_H1ca zenon_H1da zenon_H243 zenon_H242 zenon_H241 zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_Ha9 zenon_H1de zenon_H3 zenon_H5 zenon_H7. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.17 apply (zenon_L4_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.17 apply (zenon_L352_); trivial. % 0.90/1.17 apply (zenon_L751_); trivial. % 0.90/1.17 (* end of lemma zenon_L752_ *) % 0.90/1.17 assert (zenon_L753_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (ndr1_0) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp25)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_Hd7 zenon_H4d zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H12 zenon_H11 zenon_Hf zenon_Hcc zenon_Hcd zenon_Hce zenon_H28c zenon_H9. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H240 | zenon_intro zenon_H24b ]. % 0.90/1.17 apply (zenon_L314_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H66 | zenon_intro zenon_Ha ]. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hcb | zenon_intro zenon_H28d ]. % 0.90/1.17 apply (zenon_L53_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H123 | zenon_intro zenon_Hd8 ]. % 0.90/1.17 apply (zenon_L681_); trivial. % 0.90/1.17 exact (zenon_Hd7 zenon_Hd8). % 0.90/1.17 exact (zenon_H9 zenon_Ha). % 0.90/1.17 (* end of lemma zenon_L753_ *) % 0.90/1.17 assert (zenon_L754_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H155 zenon_Hcd zenon_Hcc zenon_H278 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_Hf zenon_H9b. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H13b | zenon_intro zenon_H156 ]. % 0.90/1.17 apply (zenon_L493_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H9c ]. % 0.90/1.17 apply (zenon_L629_); trivial. % 0.90/1.17 exact (zenon_H9b zenon_H9c). % 0.90/1.17 (* end of lemma zenon_L754_ *) % 0.90/1.17 assert (zenon_L755_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 0.90/1.17 do 0 intro. intros zenon_Hca zenon_H2b zenon_H282 zenon_H9d zenon_Hdd zenon_Hdc zenon_Hdb zenon_H1da zenon_Hbe zenon_Hbd zenon_Hbc zenon_H9b zenon_H155 zenon_H241 zenon_H242 zenon_H243 zenon_H28c zenon_Hd7 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H4d zenon_Hce zenon_Hcd zenon_Hcc zenon_H24a zenon_H3 zenon_H5 zenon_H7. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.17 apply (zenon_L4_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.17 apply (zenon_L753_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.90/1.17 apply (zenon_L754_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 0.90/1.17 apply (zenon_L50_); trivial. % 0.90/1.17 apply (zenon_L548_); trivial. % 0.90/1.17 (* end of lemma zenon_L755_ *) % 0.90/1.17 assert (zenon_L756_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(c3_1 (a1261))) -> (~(c2_1 (a1261))) -> (~(c0_1 (a1261))) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.90/1.17 do 0 intro. intros zenon_H1ec zenon_H19e zenon_H19d zenon_H19c zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H1c8. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.17 apply (zenon_L120_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.17 apply (zenon_L8_); trivial. % 0.90/1.17 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.17 (* end of lemma zenon_L756_ *) % 0.90/1.17 assert (zenon_L757_ : ((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H1a5 zenon_H1de zenon_Ha9 zenon_H211 zenon_H1f1 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H217 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H11 zenon_H12 zenon_H13 zenon_H1ec. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Hf. zenon_intro zenon_H1a6. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.17 apply (zenon_L756_); trivial. % 0.90/1.17 apply (zenon_L351_); trivial. % 0.90/1.17 (* end of lemma zenon_L757_ *) % 0.90/1.17 assert (zenon_L758_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (~(hskp16)) -> (~(hskp20)) -> ((hskp16)\/((hskp20)\/(hskp23))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H1a8 zenon_H1de zenon_Ha9 zenon_H211 zenon_H1f1 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H217 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H11 zenon_H12 zenon_H13 zenon_H1ec zenon_H103 zenon_H196 zenon_H19a. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 0.90/1.17 apply (zenon_L119_); trivial. % 0.90/1.17 apply (zenon_L757_); trivial. % 0.90/1.17 (* end of lemma zenon_L758_ *) % 0.90/1.17 assert (zenon_L759_ : ((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp25)\/(hskp21)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H1b8 zenon_H64 zenon_H1f3 zenon_H1f1 zenon_Hb zenon_H11 zenon_H12 zenon_H13 zenon_H24 zenon_H27 zenon_H2b. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Hf. zenon_intro zenon_H1ba. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ac. zenon_intro zenon_H1bb. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1ab. zenon_intro zenon_H1aa. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.17 apply (zenon_L12_); trivial. % 0.90/1.17 apply (zenon_L166_); trivial. % 0.90/1.17 (* end of lemma zenon_L759_ *) % 0.90/1.17 assert (zenon_L760_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H1bd zenon_H64 zenon_H1f3 zenon_Hb zenon_H24 zenon_H27 zenon_H2b zenon_H19a zenon_H103 zenon_H1ec zenon_H13 zenon_H12 zenon_H11 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H1da zenon_H243 zenon_H242 zenon_H241 zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_Ha9 zenon_H1de zenon_H1a8. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b8 ]. % 0.90/1.17 apply (zenon_L758_); trivial. % 0.90/1.17 apply (zenon_L759_); trivial. % 0.90/1.17 (* end of lemma zenon_L760_ *) % 0.90/1.17 assert (zenon_L761_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (~(c1_1 (a1236))) -> (~(c3_1 (a1236))) -> (c0_1 (a1236)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.90/1.17 do 0 intro. intros zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_Hce zenon_Hcd zenon_H161 zenon_H109 zenon_H10a zenon_H10b zenon_H241 zenon_H242 zenon_H243 zenon_H222 zenon_H127 zenon_H2a8 zenon_H2a6 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_Hf zenon_H3. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.17 apply (zenon_L41_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.17 apply (zenon_L365_); trivial. % 0.90/1.17 apply (zenon_L687_); trivial. % 0.90/1.17 (* end of lemma zenon_L761_ *) % 0.90/1.17 assert (zenon_L762_ : ((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(c2_1 (a1228))) -> (c0_1 (a1228)) -> (c3_1 (a1228)) -> (~(hskp6)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H11b zenon_H1de zenon_H211 zenon_H1f1 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H217 zenon_H1da zenon_Ha9 zenon_H2a6 zenon_H2a8 zenon_Hf6 zenon_Hf4 zenon_Hf7 zenon_H3 zenon_H127 zenon_H241 zenon_H242 zenon_H243 zenon_Hcd zenon_Hce zenon_H222 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H11 zenon_H12 zenon_H13 zenon_H1ec. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H10b. zenon_intro zenon_H11d. % 0.90/1.17 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H109. zenon_intro zenon_H10a. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 0.90/1.17 apply (zenon_L761_); trivial. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 0.90/1.17 apply (zenon_L8_); trivial. % 0.90/1.17 exact (zenon_H1c8 zenon_H1c9). % 0.90/1.17 apply (zenon_L351_); trivial. % 0.90/1.17 (* end of lemma zenon_L762_ *) % 0.90/1.17 assert (zenon_L763_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (ndr1_0) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> False). % 0.90/1.17 do 0 intro. intros zenon_H12c zenon_H127 zenon_H222 zenon_H254 zenon_Hd9 zenon_Hce zenon_Hcd zenon_Hcc zenon_Hf zenon_Hca zenon_H2b zenon_H282 zenon_H9d zenon_H1da zenon_Hbe zenon_Hbd zenon_Hbc zenon_H155 zenon_H241 zenon_H242 zenon_H243 zenon_H28c zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H4d zenon_H24a zenon_H3 zenon_H5 zenon_H7 zenon_H1bd zenon_H64 zenon_H1f3 zenon_Hb zenon_H24 zenon_H27 zenon_H19a zenon_H1ec zenon_H217 zenon_H1f1 zenon_H211 zenon_Ha9 zenon_H1de zenon_H1a8 zenon_H11e zenon_Hb4 zenon_Hf2. % 0.90/1.17 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.17 apply (zenon_L56_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.17 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.17 apply (zenon_L755_); trivial. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.17 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.18 apply (zenon_L4_); trivial. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.18 apply (zenon_L760_); trivial. % 0.90/1.18 apply (zenon_L524_); trivial. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.18 apply (zenon_L4_); trivial. % 0.90/1.18 apply (zenon_L730_); trivial. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 0.90/1.18 apply (zenon_L4_); trivial. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 0.90/1.18 apply (zenon_L760_); trivial. % 0.90/1.18 apply (zenon_L762_); trivial. % 0.90/1.18 (* end of lemma zenon_L763_ *) % 0.90/1.18 assert (zenon_L764_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H186 zenon_H1de zenon_Ha9 zenon_H211 zenon_H1f1 zenon_H217 zenon_H241 zenon_H242 zenon_H243 zenon_H1da zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H28c zenon_Hd7 zenon_H282 zenon_H82 zenon_H81 zenon_H80 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H11 zenon_H12 zenon_H13 zenon_H1ea zenon_Hce zenon_Hcd zenon_Hcc zenon_H1ec. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.18 apply (zenon_L673_); trivial. % 0.90/1.18 apply (zenon_L351_); trivial. % 0.90/1.18 (* end of lemma zenon_L764_ *) % 0.90/1.18 assert (zenon_L765_ : ((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H8b zenon_H189 zenon_H28c zenon_Hd7 zenon_H282 zenon_H11 zenon_H12 zenon_H13 zenon_H1ea zenon_Hce zenon_Hcd zenon_Hcc zenon_H1ec zenon_H1cc zenon_H1ca zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H1da zenon_H243 zenon_H242 zenon_H241 zenon_H217 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1f1 zenon_H211 zenon_Ha9 zenon_H1de. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.18 apply (zenon_L352_); trivial. % 0.90/1.18 apply (zenon_L764_); trivial. % 0.90/1.18 (* end of lemma zenon_L765_ *) % 0.90/1.18 assert (zenon_L766_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> (c2_1 (a1223)) -> (~(c3_1 (a1223))) -> (~(c1_1 (a1223))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.90/1.18 do 0 intro. intros zenon_H282 zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_Hcc zenon_Hcd zenon_H155 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H9d zenon_H69 zenon_H68 zenon_H67 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_Hf zenon_H9b. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.90/1.18 apply (zenon_L754_); trivial. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 0.90/1.18 apply (zenon_L50_); trivial. % 0.90/1.18 apply (zenon_L555_); trivial. % 0.90/1.18 (* end of lemma zenon_L766_ *) % 0.90/1.18 assert (zenon_L767_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp11)) -> (c2_1 (a1223)) -> (~(c3_1 (a1223))) -> (~(c1_1 (a1223))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (ndr1_0) -> False). % 0.90/1.18 do 0 intro. intros zenon_H7b zenon_H79 zenon_H69 zenon_H68 zenon_H67 zenon_H66 zenon_Hf. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H65 | zenon_intro zenon_H7a ]. % 0.90/1.18 apply (zenon_L28_); trivial. % 0.90/1.18 exact (zenon_H79 zenon_H7a). % 0.90/1.18 (* end of lemma zenon_L767_ *) % 0.90/1.18 assert (zenon_L768_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37)))))) -> (~(c0_1 (a1211))) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (ndr1_0) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H222 zenon_H243 zenon_H242 zenon_H91 zenon_H241 zenon_H67 zenon_H68 zenon_H69 zenon_H79 zenon_H7b zenon_H161 zenon_Hf zenon_Hcd zenon_Hce. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H145 | zenon_intro zenon_H223 ]. % 0.90/1.18 apply (zenon_L321_); trivial. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H66 | zenon_intro zenon_H38 ]. % 0.90/1.18 apply (zenon_L767_); trivial. % 0.90/1.18 apply (zenon_L195_); trivial. % 0.90/1.18 (* end of lemma zenon_L768_ *) % 0.90/1.18 assert (zenon_L769_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp11)) -> (c2_1 (a1223)) -> (~(c3_1 (a1223))) -> (~(c1_1 (a1223))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.90/1.18 do 0 intro. intros zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_Hce zenon_Hcd zenon_H161 zenon_H7b zenon_H79 zenon_H69 zenon_H68 zenon_H67 zenon_H241 zenon_H242 zenon_H243 zenon_H222 zenon_H127 zenon_H2a8 zenon_H2a6 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_Hf zenon_H3. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.18 apply (zenon_L41_); trivial. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.18 apply (zenon_L768_); trivial. % 0.90/1.18 apply (zenon_L687_); trivial. % 0.90/1.18 (* end of lemma zenon_L769_ *) % 0.90/1.18 assert (zenon_L770_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (ndr1_0) -> (~(c2_1 (a1259))) -> (~(c3_1 (a1259))) -> (c0_1 (a1259)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp25)) -> False). % 0.90/1.18 do 0 intro. intros zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_Hf zenon_H39 zenon_H3a zenon_H3b zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H4d zenon_H9. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H240 | zenon_intro zenon_H24b ]. % 0.90/1.18 apply (zenon_L314_); trivial. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H66 | zenon_intro zenon_Ha ]. % 0.90/1.18 apply (zenon_L626_); trivial. % 0.90/1.18 exact (zenon_H9 zenon_Ha). % 0.90/1.18 (* end of lemma zenon_L770_ *) % 0.90/1.18 assert (zenon_L771_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H5d zenon_H2b zenon_H5b zenon_H54 zenon_H53 zenon_H52 zenon_H241 zenon_H242 zenon_H243 zenon_H4d zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H24a. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.18 apply (zenon_L770_); trivial. % 0.90/1.18 apply (zenon_L24_); trivial. % 0.90/1.18 (* end of lemma zenon_L771_ *) % 0.90/1.18 assert (zenon_L772_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H186 zenon_H64 zenon_H61 zenon_H5b zenon_H4d zenon_H24a zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd5 zenon_H112 zenon_H243 zenon_H242 zenon_H241 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.18 apply (zenon_L111_); trivial. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.18 apply (zenon_L741_); trivial. % 0.90/1.18 apply (zenon_L110_); trivial. % 0.90/1.18 apply (zenon_L771_); trivial. % 0.90/1.18 (* end of lemma zenon_L772_ *) % 0.90/1.18 assert (zenon_L773_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H189 zenon_H64 zenon_H61 zenon_H5b zenon_H4d zenon_H24a zenon_Hd5 zenon_H112 zenon_H243 zenon_H242 zenon_H241 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H9b zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.18 apply (zenon_L690_); trivial. % 0.90/1.18 apply (zenon_L772_); trivial. % 0.90/1.18 (* end of lemma zenon_L773_ *) % 0.90/1.18 assert (zenon_L774_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (~(hskp19)) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H60 zenon_H1de zenon_H254 zenon_H147 zenon_H148 zenon_H150 zenon_H79 zenon_H192 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H137 zenon_H1ca zenon_H1cc. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 0.90/1.18 apply (zenon_L148_); trivial. % 0.90/1.18 apply (zenon_L699_); trivial. % 0.90/1.18 (* end of lemma zenon_L774_ *) % 0.90/1.18 assert (zenon_L775_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((hskp25)\/(hskp21)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(hskp19)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H64 zenon_H254 zenon_H79 zenon_H192 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_Hb zenon_H1cc zenon_H1ca zenon_H137 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H157 zenon_H89 zenon_H243 zenon_H242 zenon_H241 zenon_H1da zenon_H150 zenon_H148 zenon_H147 zenon_Ha9 zenon_H1de zenon_H2b. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.18 apply (zenon_L6_); trivial. % 0.90/1.18 apply (zenon_L326_); trivial. % 0.90/1.18 apply (zenon_L774_); trivial. % 0.90/1.18 (* end of lemma zenon_L775_ *) % 0.90/1.18 assert (zenon_L776_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((hskp25)\/(hskp21)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> False). % 0.90/1.18 do 0 intro. intros zenon_Hb7 zenon_H189 zenon_H61 zenon_H5b zenon_H4d zenon_H24a zenon_Hd5 zenon_H112 zenon_H172 zenon_H24 zenon_H27 zenon_H181 zenon_H180 zenon_H2b zenon_H1de zenon_Ha9 zenon_H147 zenon_H148 zenon_H150 zenon_H1da zenon_H241 zenon_H242 zenon_H243 zenon_H89 zenon_H157 zenon_H1ca zenon_H1cc zenon_Hb zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H192 zenon_H79 zenon_H254 zenon_H64. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.18 apply (zenon_L775_); trivial. % 0.90/1.18 apply (zenon_L772_); trivial. % 0.90/1.18 (* end of lemma zenon_L776_ *) % 0.90/1.18 assert (zenon_L777_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> False). % 0.90/1.18 do 0 intro. intros zenon_H26 zenon_H180 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H54 zenon_H53 zenon_H52 zenon_H27 zenon_H24 zenon_H16b zenon_H164 zenon_H163 zenon_H172. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.18 apply (zenon_L107_); trivial. % 0.90/1.18 apply (zenon_L630_); trivial. % 0.90/1.18 (* end of lemma zenon_L777_ *) % 0.90/1.18 assert (zenon_L778_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H60 zenon_H2b zenon_H172 zenon_H241 zenon_H242 zenon_H243 zenon_H8c zenon_H89 zenon_H163 zenon_H164 zenon_H16b zenon_Hdb zenon_Hdc zenon_Hdd zenon_H24 zenon_H27 zenon_H24a zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H254 zenon_H180. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 0.90/1.18 apply (zenon_L330_); trivial. % 0.90/1.18 apply (zenon_L630_); trivial. % 0.90/1.18 apply (zenon_L777_); trivial. % 0.90/1.18 (* end of lemma zenon_L778_ *) % 0.90/1.18 assert (zenon_L779_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H186 zenon_H64 zenon_H241 zenon_H242 zenon_H243 zenon_H8c zenon_H89 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H24a zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H254 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.18 apply (zenon_L111_); trivial. % 0.90/1.18 apply (zenon_L778_); trivial. % 0.90/1.18 (* end of lemma zenon_L779_ *) % 0.90/1.18 assert (zenon_L780_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 0.90/1.18 do 0 intro. intros zenon_Hef zenon_Hb4 zenon_H24a zenon_H1de zenon_Ha9 zenon_H1da zenon_H241 zenon_H242 zenon_H243 zenon_H157 zenon_H1ca zenon_H1cc zenon_H192 zenon_H79 zenon_H189 zenon_H64 zenon_H254 zenon_H77 zenon_H5 zenon_H89 zenon_H8c zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159 zenon_H90. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.18 apply (zenon_L697_); trivial. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.18 apply (zenon_L775_); trivial. % 0.90/1.18 apply (zenon_L779_); trivial. % 0.90/1.18 (* end of lemma zenon_L780_ *) % 0.90/1.18 assert (zenon_L781_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(hskp9)) -> False). % 0.90/1.18 do 0 intro. intros zenon_H26 zenon_Ha9 zenon_H24 zenon_H27 zenon_H94 zenon_H93 zenon_H92 zenon_H8c zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H89. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.18 apply (zenon_L179_); trivial. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.18 apply (zenon_L38_); trivial. % 0.90/1.18 apply (zenon_L640_); trivial. % 0.90/1.18 (* end of lemma zenon_L781_ *) % 0.90/1.18 assert (zenon_L782_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 0.90/1.18 do 0 intro. intros zenon_H2b zenon_Ha9 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H89 zenon_H8c zenon_H92 zenon_H94 zenon_H93 zenon_H24 zenon_H27 zenon_Hc zenon_Hb. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.18 apply (zenon_L6_); trivial. % 0.90/1.18 apply (zenon_L781_); trivial. % 0.90/1.18 (* end of lemma zenon_L782_ *) % 0.90/1.18 assert (zenon_L783_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (ndr1_0) -> (c0_1 (a1206)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> False). % 0.90/1.18 do 0 intro. intros zenon_Ha9 zenon_Hf3 zenon_H94 zenon_H93 zenon_H92 zenon_Hf zenon_H2a6 zenon_H66 zenon_H2a7 zenon_H2a8. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 0.90/1.18 apply (zenon_L188_); trivial. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 0.90/1.18 apply (zenon_L38_); trivial. % 0.90/1.18 apply (zenon_L624_); trivial. % 0.90/1.18 (* end of lemma zenon_L783_ *) % 0.90/1.18 assert (zenon_L784_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (ndr1_0) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp25)) -> False). % 0.90/1.18 do 0 intro. intros zenon_H254 zenon_H54 zenon_H53 zenon_H52 zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_Hf zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H9. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H51 | zenon_intro zenon_H255 ]. % 0.90/1.18 apply (zenon_L23_); trivial. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H14f | zenon_intro zenon_Hf3 ]. % 0.90/1.18 apply (zenon_L629_); trivial. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H240 | zenon_intro zenon_H24b ]. % 0.90/1.18 apply (zenon_L314_); trivial. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H66 | zenon_intro zenon_Ha ]. % 0.90/1.18 apply (zenon_L783_); trivial. % 0.90/1.18 exact (zenon_H9 zenon_Ha). % 0.90/1.18 (* end of lemma zenon_L784_ *) % 0.90/1.18 assert (zenon_L785_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp25)\/(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.18 do 0 intro. intros zenon_Hb3 zenon_H64 zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_H254 zenon_Hb zenon_H27 zenon_H24 zenon_H8c zenon_H89 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Ha9 zenon_H2b. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 0.90/1.18 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.18 apply (zenon_L782_); trivial. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.18 apply (zenon_L784_); trivial. % 0.90/1.18 apply (zenon_L781_); trivial. % 0.90/1.18 (* end of lemma zenon_L785_ *) % 0.90/1.18 assert (zenon_L786_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp25)\/(hskp21)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> False). % 0.90/1.18 do 0 intro. intros zenon_Hba zenon_Hb4 zenon_H1de zenon_Ha9 zenon_H1da zenon_H89 zenon_H157 zenon_H1ca zenon_H1cc zenon_H192 zenon_H254 zenon_H159 zenon_H155 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H139 zenon_H2b zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H27 zenon_H24 zenon_H172 zenon_Hb zenon_H241 zenon_H242 zenon_H243 zenon_H112 zenon_H24a zenon_H4d zenon_H5b zenon_H61 zenon_H64 zenon_H189 zenon_H90 zenon_H8c zenon_H5 zenon_H77 zenon_Hf2. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 0.90/1.18 apply (zenon_L773_); trivial. % 0.90/1.18 apply (zenon_L776_); trivial. % 0.90/1.18 apply (zenon_L780_); trivial. % 0.90/1.18 apply (zenon_L785_); trivial. % 0.90/1.18 (* end of lemma zenon_L786_ *) % 0.90/1.18 assert (zenon_L787_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H60 zenon_H2b zenon_H180 zenon_H27 zenon_H24 zenon_H16b zenon_H164 zenon_H163 zenon_H172 zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H24a zenon_H93 zenon_H94 zenon_H92 zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H254. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 0.90/1.18 apply (zenon_L784_); trivial. % 0.90/1.18 apply (zenon_L777_); trivial. % 0.90/1.18 (* end of lemma zenon_L787_ *) % 0.90/1.18 assert (zenon_L788_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H186 zenon_H64 zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H24a zenon_H93 zenon_H94 zenon_H92 zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H254 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 0.90/1.18 apply (zenon_L111_); trivial. % 0.90/1.18 apply (zenon_L787_); trivial. % 0.90/1.18 (* end of lemma zenon_L788_ *) % 0.90/1.18 assert (zenon_L789_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H189 zenon_H64 zenon_H24a zenon_H93 zenon_H94 zenon_H92 zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H254 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H9b zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 0.90/1.18 apply (zenon_L690_); trivial. % 0.90/1.18 apply (zenon_L788_); trivial. % 0.90/1.18 (* end of lemma zenon_L789_ *) % 0.90/1.18 assert (zenon_L790_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (ndr1_0) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp10))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H134 zenon_Hba zenon_Hb4 zenon_H2b zenon_H89 zenon_H8c zenon_H241 zenon_H242 zenon_H243 zenon_Ha9 zenon_H24a zenon_H9d zenon_H7b zenon_Hf zenon_H228 zenon_H229 zenon_H22a zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H2c1. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.18 apply (zenon_L732_); trivial. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 0.90/1.18 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 0.90/1.18 apply (zenon_L229_); trivial. % 0.90/1.18 apply (zenon_L747_); trivial. % 0.90/1.18 (* end of lemma zenon_L790_ *) % 0.90/1.18 assert (zenon_L791_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(c0_1 (a1212))) -> (~(c3_1 (a1212))) -> (c2_1 (a1212)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp10))) -> False). % 0.90/1.18 do 0 intro. intros zenon_H130 zenon_H134 zenon_Hba zenon_Hb4 zenon_H189 zenon_H159 zenon_H1ec zenon_H172 zenon_H1ea zenon_H180 zenon_H1e1 zenon_H2e zenon_H1df zenon_H50 zenon_H1cc zenon_H1ca zenon_H1da zenon_Ha9 zenon_H1de zenon_H9d zenon_H192 zenon_H150 zenon_H148 zenon_H147 zenon_H7b zenon_H228 zenon_H229 zenon_H22a zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H2c1. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 0.90/1.18 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 0.90/1.18 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.90/1.18 apply (zenon_L732_); trivial. % 0.90/1.18 apply (zenon_L194_); trivial. % 0.90/1.18 (* end of lemma zenon_L791_ *) % 0.90/1.18 assert (zenon_L792_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c3_1 (a1228)) -> (~(c2_1 (a1228))) -> (c0_1 (a1228)) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H60 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H1ea zenon_Hf7 zenon_Hf6 zenon_Hf4 zenon_H16b zenon_H164 zenon_H163 zenon_H266 zenon_H25d zenon_H25e. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H51 | zenon_intro zenon_H255 ]. % 1.04/1.18 apply (zenon_L23_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H14f | zenon_intro zenon_Hf3 ]. % 1.04/1.18 apply (zenon_L629_); trivial. % 1.04/1.18 apply (zenon_L575_); trivial. % 1.04/1.18 (* end of lemma zenon_L792_ *) % 1.04/1.18 assert (zenon_L793_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (c3_1 (a1228)) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((hskp25)\/(hskp21)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H186 zenon_H64 zenon_H254 zenon_Hf4 zenon_Hf6 zenon_Hf7 zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_Hb zenon_H11 zenon_H12 zenon_H13 zenon_H24 zenon_H27 zenon_H2b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 1.04/1.18 apply (zenon_L12_); trivial. % 1.04/1.18 apply (zenon_L792_); trivial. % 1.04/1.18 (* end of lemma zenon_L793_ *) % 1.04/1.18 assert (zenon_L794_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (c3_1 (a1228)) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 1.04/1.18 do 0 intro. intros zenon_Hca zenon_H189 zenon_H64 zenon_H254 zenon_Hf4 zenon_Hf6 zenon_Hf7 zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_Hb zenon_H24 zenon_H27 zenon_H2b zenon_H139 zenon_H9b zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159 zenon_H3 zenon_H5 zenon_H7. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.18 apply (zenon_L4_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 1.04/1.18 apply (zenon_L690_); trivial. % 1.04/1.18 apply (zenon_L793_); trivial. % 1.04/1.18 (* end of lemma zenon_L794_ *) % 1.04/1.18 assert (zenon_L795_ : (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37)))))) -> (ndr1_0) -> (~(c2_1 (a1228))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))) -> (c0_1 (a1228)) -> (c3_1 (a1228)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H91 zenon_Hf zenon_Hf6 zenon_H13b zenon_Hf4 zenon_Hf7. % 1.04/1.18 generalize (zenon_H91 (a1228)). zenon_intro zenon_H29c. % 1.04/1.18 apply (zenon_imply_s _ _ zenon_H29c); [ zenon_intro zenon_He | zenon_intro zenon_H29d ]. % 1.04/1.18 exact (zenon_He zenon_Hf). % 1.04/1.18 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H102 | zenon_intro zenon_Hfa ]. % 1.04/1.18 exact (zenon_Hf6 zenon_H102). % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hfd | zenon_intro zenon_Hfc ]. % 1.04/1.18 apply (zenon_L342_); trivial. % 1.04/1.18 exact (zenon_Hfc zenon_Hf7). % 1.04/1.18 (* end of lemma zenon_L795_ *) % 1.04/1.18 assert (zenon_L796_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37)))))) -> (~(hskp6)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (c0_1 (a1259)) -> (~(c3_1 (a1259))) -> (~(c2_1 (a1259))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (ndr1_0) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H1ea zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_H91 zenon_H3 zenon_H11 zenon_H12 zenon_H13 zenon_H4d zenon_H2a8 zenon_H2a6 zenon_H3b zenon_H3a zenon_H39 zenon_H127 zenon_Hf zenon_H266 zenon_H25d zenon_H25e. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H13b | zenon_intro zenon_H1eb ]. % 1.04/1.18 apply (zenon_L795_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e7 ]. % 1.04/1.18 apply (zenon_L652_); trivial. % 1.04/1.18 apply (zenon_L376_); trivial. % 1.04/1.18 (* end of lemma zenon_L796_ *) % 1.04/1.18 assert (zenon_L797_ : ((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (~(hskp6)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H5d zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H25e zenon_H25d zenon_H266 zenon_H4d zenon_H13 zenon_H12 zenon_H11 zenon_H1ea zenon_H127 zenon_H2a8 zenon_H2a6 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_H3. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 1.04/1.18 apply (zenon_L41_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 1.04/1.18 apply (zenon_L796_); trivial. % 1.04/1.18 apply (zenon_L687_); trivial. % 1.04/1.18 (* end of lemma zenon_L797_ *) % 1.04/1.18 assert (zenon_L798_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1228))) -> (c0_1 (a1228)) -> (c3_1 (a1228)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp13)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 1.04/1.18 do 0 intro. intros zenon_Hb7 zenon_Hca zenon_H61 zenon_Ha9 zenon_Hf6 zenon_Hf4 zenon_Hf7 zenon_H127 zenon_H4d zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_H112 zenon_Hd5 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H2ba zenon_H3 zenon_H5 zenon_H7. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.18 apply (zenon_L4_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 1.04/1.18 apply (zenon_L648_); trivial. % 1.04/1.18 apply (zenon_L797_); trivial. % 1.04/1.18 (* end of lemma zenon_L798_ *) % 1.04/1.18 assert (zenon_L799_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37)))))) -> (~(hskp6)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (ndr1_0) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H1ea zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_H91 zenon_H3 zenon_H11 zenon_H12 zenon_H13 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H127 zenon_Hf zenon_H266 zenon_H25d zenon_H25e. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H13b | zenon_intro zenon_H1eb ]. % 1.04/1.18 apply (zenon_L795_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e7 ]. % 1.04/1.18 apply (zenon_L655_); trivial. % 1.04/1.18 apply (zenon_L376_); trivial. % 1.04/1.18 (* end of lemma zenon_L799_ *) % 1.04/1.18 assert (zenon_L800_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(c2_1 (a1228))) -> (c0_1 (a1228)) -> (c3_1 (a1228)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 1.04/1.18 do 0 intro. intros zenon_Hb7 zenon_Hca zenon_Ha9 zenon_H2a6 zenon_H2a8 zenon_Hf6 zenon_Hf4 zenon_Hf7 zenon_H127 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_H3 zenon_H5 zenon_H7. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.18 apply (zenon_L4_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 1.04/1.18 apply (zenon_L41_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 1.04/1.18 apply (zenon_L799_); trivial. % 1.04/1.18 apply (zenon_L687_); trivial. % 1.04/1.18 (* end of lemma zenon_L800_ *) % 1.04/1.18 assert (zenon_L801_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp13)\/(hskp6))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((hskp15)\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp25)\/(hskp21)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H12c zenon_Hf2 zenon_H189 zenon_H254 zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_H139 zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159 zenon_H2ba zenon_H112 zenon_H4d zenon_H127 zenon_Ha9 zenon_H61 zenon_Hb4 zenon_H7 zenon_H5 zenon_H3 zenon_H2b zenon_H27 zenon_H24 zenon_Hb zenon_H28c zenon_Hce zenon_Hcd zenon_Hcc zenon_H15d zenon_H15f zenon_H64 zenon_Hca. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 1.04/1.18 apply (zenon_L465_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.18 apply (zenon_L794_); trivial. % 1.04/1.18 apply (zenon_L798_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.18 apply (zenon_L794_); trivial. % 1.04/1.18 apply (zenon_L800_); trivial. % 1.04/1.18 (* end of lemma zenon_L801_ *) % 1.04/1.18 assert (zenon_L802_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (~(c2_1 (a1233))) -> (ndr1_0) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H1ea zenon_Hcd zenon_Hcc zenon_H278 zenon_H13 zenon_H12 zenon_H123 zenon_H11 zenon_Hf zenon_H266 zenon_H25d zenon_H25e. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H13b | zenon_intro zenon_H1eb ]. % 1.04/1.18 apply (zenon_L493_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e7 ]. % 1.04/1.18 apply (zenon_L651_); trivial. % 1.04/1.18 apply (zenon_L376_); trivial. % 1.04/1.18 (* end of lemma zenon_L802_ *) % 1.04/1.18 assert (zenon_L803_ : ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(c3_1 (a1216))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> (ndr1_0) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(hskp12)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H28c zenon_Hce zenon_H25e zenon_H25d zenon_H266 zenon_Hf zenon_H11 zenon_H12 zenon_H13 zenon_H278 zenon_Hcc zenon_Hcd zenon_H1ea zenon_Hd7. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hcb | zenon_intro zenon_H28d ]. % 1.04/1.18 apply (zenon_L53_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H123 | zenon_intro zenon_Hd8 ]. % 1.04/1.18 apply (zenon_L802_); trivial. % 1.04/1.18 exact (zenon_Hd7 zenon_Hd8). % 1.04/1.18 (* end of lemma zenon_L803_ *) % 1.04/1.18 assert (zenon_L804_ : ((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1216))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H8b zenon_H282 zenon_Hd7 zenon_H1ea zenon_Hcd zenon_Hcc zenon_H13 zenon_H12 zenon_H11 zenon_H266 zenon_H25d zenon_H25e zenon_Hce zenon_H28c zenon_Hbe zenon_Hbd zenon_Hbc. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 1.04/1.18 apply (zenon_L803_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 1.04/1.18 apply (zenon_L50_); trivial. % 1.04/1.18 apply (zenon_L34_); trivial. % 1.04/1.18 (* end of lemma zenon_L804_ *) % 1.04/1.18 assert (zenon_L805_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 1.04/1.18 do 0 intro. intros zenon_Hca zenon_H90 zenon_H282 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_Hcc zenon_Hcd zenon_Hce zenon_H77 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H4d zenon_Hd7 zenon_H28c zenon_H3 zenon_H5 zenon_H7. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.18 apply (zenon_L4_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 1.04/1.18 apply (zenon_L683_); trivial. % 1.04/1.18 apply (zenon_L804_); trivial. % 1.04/1.18 (* end of lemma zenon_L805_ *) % 1.04/1.18 assert (zenon_L806_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H186 zenon_H1ea zenon_H82 zenon_H81 zenon_H80 zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hcc zenon_Hcd zenon_H282 zenon_H266 zenon_H25d zenon_H25e. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H13b | zenon_intro zenon_H1eb ]. % 1.04/1.18 apply (zenon_L670_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e7 ]. % 1.04/1.18 apply (zenon_L158_); trivial. % 1.04/1.18 apply (zenon_L376_); trivial. % 1.04/1.18 (* end of lemma zenon_L806_ *) % 1.04/1.18 assert (zenon_L807_ : ((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H8b zenon_H189 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_Hcc zenon_Hcd zenon_Hbc zenon_Hbd zenon_Hbe zenon_H282 zenon_H139 zenon_H9b zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 1.04/1.18 apply (zenon_L690_); trivial. % 1.04/1.18 apply (zenon_L806_); trivial. % 1.04/1.18 (* end of lemma zenon_L807_ *) % 1.04/1.18 assert (zenon_L808_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1223)) -> (~(c3_1 (a1223))) -> (~(c1_1 (a1223))) -> (ndr1_0) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H90 zenon_H189 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_Hcc zenon_Hcd zenon_Hbc zenon_Hbd zenon_Hbe zenon_H282 zenon_H139 zenon_H9b zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159 zenon_H77 zenon_H5 zenon_H69 zenon_H68 zenon_H67 zenon_Hf zenon_H79 zenon_H7b. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 1.04/1.18 apply (zenon_L32_); trivial. % 1.04/1.18 apply (zenon_L807_); trivial. % 1.04/1.18 (* end of lemma zenon_L808_ *) % 1.04/1.18 assert (zenon_L809_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> (~(c3_1 (a1216))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H26 zenon_H282 zenon_Hd7 zenon_H1ea zenon_Hcd zenon_Hcc zenon_H13 zenon_H12 zenon_H11 zenon_H266 zenon_H25d zenon_H25e zenon_Hce zenon_H28c zenon_Hbe zenon_Hbd zenon_Hbc zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H94 zenon_H93 zenon_H92. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 1.04/1.18 apply (zenon_L803_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 1.04/1.18 apply (zenon_L50_); trivial. % 1.04/1.18 apply (zenon_L454_); trivial. % 1.04/1.18 (* end of lemma zenon_L809_ *) % 1.04/1.18 assert (zenon_L810_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> (c1_1 (a1233)) -> (c0_1 (a1233)) -> (~(c2_1 (a1233))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H2b zenon_H282 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hcc zenon_Hcd zenon_Hce zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H13 zenon_H12 zenon_H11 zenon_Hd7 zenon_H28c zenon_Hc zenon_Hb. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 1.04/1.18 apply (zenon_L6_); trivial. % 1.04/1.18 apply (zenon_L809_); trivial. % 1.04/1.18 (* end of lemma zenon_L810_ *) % 1.04/1.18 assert (zenon_L811_ : ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H28c zenon_Hce zenon_Hcd zenon_Hcc zenon_H82 zenon_H81 zenon_H1a zenon_Hf zenon_Hd7. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hcb | zenon_intro zenon_H28d ]. % 1.04/1.18 apply (zenon_L53_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H123 | zenon_intro zenon_Hd8 ]. % 1.04/1.18 apply (zenon_L719_); trivial. % 1.04/1.18 exact (zenon_Hd7 zenon_Hd8). % 1.04/1.18 (* end of lemma zenon_L811_ *) % 1.04/1.18 assert (zenon_L812_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1216))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H60 zenon_H180 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H172 zenon_Hce zenon_Hcd zenon_H28c zenon_Hd7 zenon_H82 zenon_H81 zenon_Hcc zenon_H5b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H182 ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H51 | zenon_intro zenon_H5c ]. % 1.04/1.18 apply (zenon_L23_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1a ]. % 1.04/1.18 apply (zenon_L201_); trivial. % 1.04/1.18 apply (zenon_L811_); trivial. % 1.04/1.18 apply (zenon_L630_); trivial. % 1.04/1.18 (* end of lemma zenon_L812_ *) % 1.04/1.18 assert (zenon_L813_ : ((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp25)\/(hskp21)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H8b zenon_H64 zenon_H180 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H172 zenon_H5b zenon_Hb zenon_H28c zenon_Hd7 zenon_H11 zenon_H12 zenon_H13 zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_Hce zenon_Hcd zenon_Hcc zenon_Hbc zenon_Hbd zenon_Hbe zenon_Ha9 zenon_H94 zenon_H93 zenon_H92 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H282 zenon_H2b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 1.04/1.18 apply (zenon_L810_); trivial. % 1.04/1.18 apply (zenon_L812_); trivial. % 1.04/1.18 (* end of lemma zenon_L813_ *) % 1.04/1.18 assert (zenon_L814_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> (c1_1 (a1247)) -> (~(c3_1 (a1247))) -> (~(c2_1 (a1247))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H60 zenon_H159 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H16b zenon_H164 zenon_H163 zenon_H180 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H1df zenon_Ha9 zenon_H92 zenon_H94 zenon_H93 zenon_H50. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 1.04/1.18 apply (zenon_L709_); trivial. % 1.04/1.18 apply (zenon_L381_); trivial. % 1.04/1.18 (* end of lemma zenon_L814_ *) % 1.04/1.18 assert (zenon_L815_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H186 zenon_H64 zenon_H159 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H1df zenon_Ha9 zenon_H92 zenon_H94 zenon_H93 zenon_H50 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 1.04/1.18 apply (zenon_L111_); trivial. % 1.04/1.18 apply (zenon_L814_); trivial. % 1.04/1.18 (* end of lemma zenon_L815_ *) % 1.04/1.18 assert (zenon_L816_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1224))) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H189 zenon_H64 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H254 zenon_H1df zenon_Ha9 zenon_H92 zenon_H94 zenon_H93 zenon_H50 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H9b zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 1.04/1.18 apply (zenon_L690_); trivial. % 1.04/1.18 apply (zenon_L815_); trivial. % 1.04/1.18 (* end of lemma zenon_L816_ *) % 1.04/1.18 assert (zenon_L817_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp10))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp7)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H130 zenon_H134 zenon_H9d zenon_H7b zenon_H2c1 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H147 zenon_H148 zenon_H150 zenon_H192 zenon_H189 zenon_H64 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H254 zenon_H1df zenon_Ha9 zenon_H50 zenon_Hb zenon_H172 zenon_H27 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H155 zenon_H159 zenon_H1de zenon_H1da zenon_H1ca zenon_H1cc zenon_H2e zenon_H1e1 zenon_Hb4 zenon_Hba. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.18 apply (zenon_L707_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.18 apply (zenon_L816_); trivial. % 1.04/1.18 apply (zenon_L383_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.18 apply (zenon_L177_); trivial. % 1.04/1.18 apply (zenon_L444_); trivial. % 1.04/1.18 (* end of lemma zenon_L817_ *) % 1.04/1.18 assert (zenon_L818_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp25)\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_Hcd zenon_Hce zenon_H222 zenon_H159 zenon_H155 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H139 zenon_H2b zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H27 zenon_H24 zenon_H172 zenon_Hb zenon_H50 zenon_Ha9 zenon_H1df zenon_H254 zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_H64 zenon_H189. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.18 apply (zenon_L816_); trivial. % 1.04/1.18 apply (zenon_L715_); trivial. % 1.04/1.18 (* end of lemma zenon_L818_ *) % 1.04/1.18 assert (zenon_L819_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H130 zenon_H134 zenon_H9d zenon_H7b zenon_H147 zenon_H148 zenon_H150 zenon_H192 zenon_H189 zenon_H64 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H254 zenon_H1df zenon_Ha9 zenon_H50 zenon_Hb zenon_H172 zenon_H27 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159 zenon_H222 zenon_Hce zenon_Hcd zenon_Hb4 zenon_Hba. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.18 apply (zenon_L177_); trivial. % 1.04/1.18 apply (zenon_L818_); trivial. % 1.04/1.18 apply (zenon_L731_); trivial. % 1.04/1.18 (* end of lemma zenon_L819_ *) % 1.04/1.18 assert (zenon_L820_ : ((ndr1_0)/\((c2_1 (a1212))/\((~(c0_1 (a1212)))/\(~(c3_1 (a1212)))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a1215))/\((c2_1 (a1215))/\(~(c3_1 (a1215))))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1216)))/\((~(c2_1 (a1216)))/\(~(c3_1 (a1216))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp10))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (~(c3_1 (a1210))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H25a zenon_H23c zenon_H224 zenon_H181 zenon_H222 zenon_H172 zenon_H1de zenon_H1da zenon_H1ca zenon_H1cc zenon_H1e1 zenon_H189 zenon_H2c1 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H7b zenon_H9d zenon_H50 zenon_H1df zenon_H217 zenon_H127 zenon_Ha9 zenon_H180 zenon_H1ea zenon_H266 zenon_H25e zenon_H25d zenon_H159 zenon_Hb4 zenon_Hba zenon_H134. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Hf. zenon_intro zenon_H25b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H22a. zenon_intro zenon_H25c. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.18 apply (zenon_L732_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.18 apply (zenon_L229_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.18 apply (zenon_L40_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 1.04/1.18 apply (zenon_L737_); trivial. % 1.04/1.18 apply (zenon_L378_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.18 apply (zenon_L732_); trivial. % 1.04/1.18 apply (zenon_L445_); trivial. % 1.04/1.18 apply (zenon_L740_); trivial. % 1.04/1.18 (* end of lemma zenon_L820_ *) % 1.04/1.18 assert (zenon_L821_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp6)) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H186 zenon_H61 zenon_H159 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H180 zenon_H1e1 zenon_H1ca zenon_H1df zenon_H4d zenon_H50 zenon_H3 zenon_H2e zenon_H30. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 1.04/1.18 apply (zenon_L15_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 1.04/1.18 apply (zenon_L243_); trivial. % 1.04/1.18 apply (zenon_L381_); trivial. % 1.04/1.18 (* end of lemma zenon_L821_ *) % 1.04/1.19 assert (zenon_L822_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> (~(hskp6)) -> (~(hskp7)) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H189 zenon_H61 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H180 zenon_H1e1 zenon_H1ca zenon_H1df zenon_H4d zenon_H50 zenon_H3 zenon_H2e zenon_H30 zenon_H139 zenon_H9b zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 1.04/1.19 apply (zenon_L690_); trivial. % 1.04/1.19 apply (zenon_L821_); trivial. % 1.04/1.19 (* end of lemma zenon_L822_ *) % 1.04/1.19 assert (zenon_L823_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (c0_1 (a1237)) -> (c3_1 (a1237)) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> ((hskp25)\/(hskp21)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H186 zenon_H64 zenon_H180 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_Hcc zenon_Hcd zenon_Hce zenon_H172 zenon_H81 zenon_H82 zenon_Hd7 zenon_H28c zenon_Hb zenon_H11 zenon_H12 zenon_H13 zenon_H24 zenon_H27 zenon_H2b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L12_); trivial. % 1.04/1.19 apply (zenon_L722_); trivial. % 1.04/1.19 (* end of lemma zenon_L823_ *) % 1.04/1.19 assert (zenon_L824_ : ((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hc5 zenon_H90 zenon_H189 zenon_H64 zenon_H180 zenon_H254 zenon_H172 zenon_Hb zenon_H24 zenon_H27 zenon_H2b zenon_H139 zenon_H9b zenon_H155 zenon_H159 zenon_Hcc zenon_Hcd zenon_Hce zenon_H77 zenon_H5 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H4d zenon_Hd7 zenon_H28c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 1.04/1.19 apply (zenon_L683_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 1.04/1.19 apply (zenon_L690_); trivial. % 1.04/1.19 apply (zenon_L823_); trivial. % 1.04/1.19 (* end of lemma zenon_L824_ *) % 1.04/1.19 assert (zenon_L825_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp25)\/(hskp21)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> (~(c1_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hca zenon_H90 zenon_H189 zenon_H64 zenon_H180 zenon_H254 zenon_H172 zenon_Hb zenon_H24 zenon_H27 zenon_H2b zenon_H139 zenon_H9b zenon_H155 zenon_H159 zenon_Hcc zenon_Hcd zenon_Hce zenon_H77 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H4d zenon_Hd7 zenon_H28c zenon_H3 zenon_H5 zenon_H7. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.19 apply (zenon_L4_); trivial. % 1.04/1.19 apply (zenon_L824_); trivial. % 1.04/1.19 (* end of lemma zenon_L825_ *) % 1.04/1.19 assert (zenon_L826_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1219))) -> (c1_1 (a1219)) -> (c2_1 (a1219)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> (~(c1_1 (a1216))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp15)\/((hskp6)\/(hskp5))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hb7 zenon_Hca zenon_H2b zenon_H28e zenon_Hbc zenon_Hbd zenon_Hbe zenon_Ha9 zenon_H282 zenon_H1ea zenon_H25e zenon_H25d zenon_H266 zenon_H241 zenon_H242 zenon_H243 zenon_H28c zenon_Hd7 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H4d zenon_Hce zenon_Hcd zenon_Hcc zenon_H24a zenon_H3 zenon_H5 zenon_H7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.19 apply (zenon_L4_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 1.04/1.19 apply (zenon_L753_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 1.04/1.19 apply (zenon_L803_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 1.04/1.19 apply (zenon_L41_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 1.04/1.19 apply (zenon_L803_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 1.04/1.19 apply (zenon_L50_); trivial. % 1.04/1.19 apply (zenon_L515_); trivial. % 1.04/1.19 (* end of lemma zenon_L826_ *) % 1.04/1.19 assert (zenon_L827_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (c1_1 (a1211)) -> (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37)))))) -> (~(c2_1 (a1211))) -> (ndr1_0) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H1ea zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_H243 zenon_H91 zenon_H242 zenon_Hf zenon_H266 zenon_H25d zenon_H25e. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H13b | zenon_intro zenon_H1eb ]. % 1.04/1.19 apply (zenon_L795_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e7 ]. % 1.04/1.19 apply (zenon_L429_); trivial. % 1.04/1.19 apply (zenon_L376_); trivial. % 1.04/1.19 (* end of lemma zenon_L827_ *) % 1.04/1.19 assert (zenon_L828_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1210)) -> (c0_1 (a1210)) -> (~(c3_1 (a1210))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (c3_1 (a1228)) -> (c0_1 (a1228)) -> (~(c2_1 (a1228))) -> (~(hskp6)) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hb7 zenon_Ha9 zenon_H25e zenon_H25d zenon_H266 zenon_H242 zenon_H243 zenon_H1ea zenon_H127 zenon_H2a8 zenon_H2a6 zenon_Hf7 zenon_Hf4 zenon_Hf6 zenon_H3. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 1.04/1.19 apply (zenon_L41_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 1.04/1.19 apply (zenon_L827_); trivial. % 1.04/1.19 apply (zenon_L687_); trivial. % 1.04/1.19 (* end of lemma zenon_L828_ *) % 1.04/1.19 assert (zenon_L829_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> (~(c2_1 (a1247))) -> (~(c3_1 (a1247))) -> (c1_1 (a1247)) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H60 zenon_H61 zenon_H8c zenon_H89 zenon_H82 zenon_H81 zenon_H80 zenon_H4d zenon_H50 zenon_H112 zenon_Hd5 zenon_H1df zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H254 zenon_H180 zenon_H163 zenon_H164 zenon_H16b zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_H159. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 1.04/1.19 apply (zenon_L632_); trivial. % 1.04/1.19 apply (zenon_L381_); trivial. % 1.04/1.19 apply (zenon_L636_); trivial. % 1.04/1.19 (* end of lemma zenon_L829_ *) % 1.04/1.19 assert (zenon_L830_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1237)) -> (c0_1 (a1237)) -> (~(c1_1 (a1237))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (~(hskp13)) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H186 zenon_H64 zenon_H61 zenon_H8c zenon_H89 zenon_H82 zenon_H81 zenon_H80 zenon_H4d zenon_H50 zenon_H112 zenon_Hd5 zenon_H1df zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H254 zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_H159 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L111_); trivial. % 1.04/1.19 apply (zenon_L829_); trivial. % 1.04/1.19 (* end of lemma zenon_L830_ *) % 1.04/1.19 assert (zenon_L831_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a1210))) -> (c0_1 (a1210)) -> (c1_1 (a1210)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H90 zenon_H189 zenon_H64 zenon_H8c zenon_H89 zenon_H50 zenon_H1df zenon_H254 zenon_H266 zenon_H25d zenon_H25e zenon_H1ea zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H9b zenon_H155 zenon_H159 zenon_H77 zenon_H5 zenon_Hf zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd5 zenon_H112 zenon_H4d zenon_H61. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 1.04/1.19 apply (zenon_L628_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 1.04/1.19 apply (zenon_L690_); trivial. % 1.04/1.19 apply (zenon_L830_); trivial. % 1.04/1.19 (* end of lemma zenon_L831_ *) % 1.04/1.19 assert (zenon_L832_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (c0_1 (a1206)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> False). % 1.04/1.19 do 0 intro. intros zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H243 zenon_H242 zenon_H241 zenon_H145 zenon_Hf zenon_H2a6 zenon_H66 zenon_H2a7 zenon_H2a8. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 1.04/1.19 apply (zenon_L41_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 1.04/1.19 apply (zenon_L321_); trivial. % 1.04/1.19 apply (zenon_L624_); trivial. % 1.04/1.19 (* end of lemma zenon_L832_ *) % 1.04/1.19 assert (zenon_L833_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(hskp19)) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H26 zenon_H1de zenon_H181 zenon_H79 zenon_H192 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H222 zenon_Hce zenon_Hcd zenon_Ha9 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H89 zenon_H157 zenon_H243 zenon_H242 zenon_H241 zenon_H1da zenon_H150 zenon_H148 zenon_H147 zenon_H137 zenon_H1ca zenon_H1cc. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 1.04/1.19 apply (zenon_L148_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_Hf. zenon_intro zenon_H1dc. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1d1. zenon_intro zenon_H1dd. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1d2. zenon_intro zenon_H1d3. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H161 | zenon_intro zenon_H185 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 1.04/1.19 apply (zenon_L41_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H145 | zenon_intro zenon_H223 ]. % 1.04/1.19 apply (zenon_L321_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H66 | zenon_intro zenon_H38 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H145 | zenon_intro zenon_H158 ]. % 1.04/1.19 apply (zenon_L832_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H1a | zenon_intro zenon_H8a ]. % 1.04/1.19 apply (zenon_L9_); trivial. % 1.04/1.19 exact (zenon_H89 zenon_H8a). % 1.04/1.19 apply (zenon_L195_); trivial. % 1.04/1.19 apply (zenon_L151_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H173 | zenon_intro zenon_Hf3 ]. % 1.04/1.19 apply (zenon_L108_); trivial. % 1.04/1.19 apply (zenon_L698_); trivial. % 1.04/1.19 (* end of lemma zenon_L833_ *) % 1.04/1.19 assert (zenon_L834_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(hskp19)) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H2b zenon_H1de zenon_H181 zenon_H79 zenon_H192 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H222 zenon_Hce zenon_Hcd zenon_Ha9 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H89 zenon_H157 zenon_H243 zenon_H242 zenon_H241 zenon_H1da zenon_H150 zenon_H148 zenon_H147 zenon_H137 zenon_H1ca zenon_H1cc zenon_Hc zenon_Hb. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 1.04/1.19 apply (zenon_L6_); trivial. % 1.04/1.19 apply (zenon_L833_); trivial. % 1.04/1.19 (* end of lemma zenon_L834_ *) % 1.04/1.19 assert (zenon_L835_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp25)\/(hskp21)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> (~(hskp2)) -> (~(hskp19)) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a1216))) -> (~(c3_1 (a1216))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H64 zenon_H254 zenon_Hb zenon_H1cc zenon_H1ca zenon_H137 zenon_H147 zenon_H148 zenon_H150 zenon_H1da zenon_H241 zenon_H242 zenon_H243 zenon_H157 zenon_H89 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Ha9 zenon_Hcd zenon_Hce zenon_H222 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H192 zenon_H79 zenon_H181 zenon_H1de zenon_H2b. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L834_); trivial. % 1.04/1.19 apply (zenon_L774_); trivial. % 1.04/1.19 (* end of lemma zenon_L835_ *) % 1.04/1.19 assert (zenon_L836_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp25)\/(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H189 zenon_H64 zenon_H241 zenon_H242 zenon_H243 zenon_H8c zenon_H89 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H24a zenon_H254 zenon_Hb zenon_H172 zenon_H24 zenon_H27 zenon_H147 zenon_H148 zenon_H150 zenon_H181 zenon_H180 zenon_H2b zenon_H139 zenon_H9b zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H155 zenon_H159. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 1.04/1.19 apply (zenon_L690_); trivial. % 1.04/1.19 apply (zenon_L779_); trivial. % 1.04/1.19 (* end of lemma zenon_L836_ *) % 1.04/1.19 assert (zenon_L837_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (~(hskp17)) -> (c2_1 (a1229)) -> (c0_1 (a1229)) -> (~(c1_1 (a1229))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> (~(c3_1 (a1216))) -> (~(c2_1 (a1216))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> (~(hskp2)) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((hskp25)\/(hskp21)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H189 zenon_H77 zenon_H5 zenon_H75 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H8c zenon_H172 zenon_H24 zenon_H27 zenon_H180 zenon_H2b zenon_H1de zenon_H181 zenon_H79 zenon_H192 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H222 zenon_Hce zenon_Hcd zenon_Ha9 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H89 zenon_H157 zenon_H243 zenon_H242 zenon_H241 zenon_H1da zenon_H150 zenon_H148 zenon_H147 zenon_H1ca zenon_H1cc zenon_Hb zenon_H254 zenon_H64. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 1.04/1.19 apply (zenon_L835_); trivial. % 1.04/1.19 apply (zenon_L693_); trivial. % 1.04/1.19 (* end of lemma zenon_L837_ *) % 1.04/1.19 assert (zenon_L838_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> ((hskp25)\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_H2b zenon_Ha9 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_Hb zenon_H50 zenon_H1df zenon_H254 zenon_H180 zenon_H279 zenon_H27a zenon_H27b zenon_H293 zenon_H159 zenon_H64 zenon_H9d zenon_H7b zenon_H5 zenon_H77 zenon_H89 zenon_H8c zenon_H90. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.19 apply (zenon_L37_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L40_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L642_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 1.04/1.19 apply (zenon_L643_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H278 | zenon_intro zenon_H294 ]. % 1.04/1.19 apply (zenon_L451_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H65 | zenon_intro zenon_H13b ]. % 1.04/1.19 apply (zenon_L30_); trivial. % 1.04/1.19 apply (zenon_L95_); trivial. % 1.04/1.19 apply (zenon_L36_); trivial. % 1.04/1.19 (* end of lemma zenon_L838_ *) % 1.04/1.19 assert (zenon_L839_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H90 zenon_H282 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H77 zenon_H5 zenon_Hf zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd5 zenon_H112 zenon_H4d zenon_H61. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 1.04/1.19 apply (zenon_L628_); trivial. % 1.04/1.19 apply (zenon_L452_); trivial. % 1.04/1.19 (* end of lemma zenon_L839_ *) % 1.04/1.19 assert (zenon_L840_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H130 zenon_Hf2 zenon_H61 zenon_H4d zenon_H112 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H5 zenon_H77 zenon_H279 zenon_H27a zenon_H27b zenon_H282 zenon_H90. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 1.04/1.19 apply (zenon_L839_); trivial. % 1.04/1.19 apply (zenon_L522_); trivial. % 1.04/1.19 (* end of lemma zenon_L840_ *) % 1.04/1.19 assert (zenon_L841_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((hskp15)\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp25)\/(hskp21)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H133 zenon_H282 zenon_Hf2 zenon_H7 zenon_H5 zenon_H3 zenon_H61 zenon_H4d zenon_H112 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H77 zenon_H2b zenon_H27 zenon_Hb zenon_H159 zenon_H15f zenon_H15d zenon_H8c zenon_H180 zenon_H254 zenon_H1df zenon_H50 zenon_H64 zenon_H90 zenon_Hca zenon_H7b zenon_H9d zenon_H293 zenon_H27b zenon_H27a zenon_H279 zenon_Ha9 zenon_Hb4 zenon_Hba zenon_H134. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_L639_); trivial. % 1.04/1.19 apply (zenon_L838_); trivial. % 1.04/1.19 apply (zenon_L840_); trivial. % 1.04/1.19 (* end of lemma zenon_L841_ *) % 1.04/1.19 assert (zenon_L842_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H60 zenon_H159 zenon_H293 zenon_H22a zenon_H229 zenon_H228 zenon_H27b zenon_H27a zenon_H279 zenon_H180 zenon_H254 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H1df zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_H50. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 1.04/1.19 apply (zenon_L643_); trivial. % 1.04/1.19 apply (zenon_L479_); trivial. % 1.04/1.19 (* end of lemma zenon_L842_ *) % 1.04/1.19 assert (zenon_L843_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a1212)) -> (~(c3_1 (a1212))) -> (~(c0_1 (a1212))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp25)\/(hskp21)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hb7 zenon_H64 zenon_H159 zenon_H293 zenon_H22a zenon_H229 zenon_H228 zenon_H27b zenon_H27a zenon_H279 zenon_H180 zenon_H254 zenon_H1df zenon_H50 zenon_Hb zenon_H92 zenon_H93 zenon_H94 zenon_H8c zenon_H89 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Ha9 zenon_H2b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L642_); trivial. % 1.04/1.19 apply (zenon_L842_); trivial. % 1.04/1.19 (* end of lemma zenon_L843_ *) % 1.04/1.19 assert (zenon_L844_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> (~(c2_1 (a1224))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp21)) -> ((hskp25)\/(hskp21)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H2b zenon_H282 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_H92 zenon_H93 zenon_H94 zenon_Ha9 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_Hc zenon_Hb. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 1.04/1.19 apply (zenon_L6_); trivial. % 1.04/1.19 apply (zenon_L455_); trivial. % 1.04/1.19 (* end of lemma zenon_L844_ *) % 1.04/1.19 assert (zenon_L845_ : ((ndr1_0)/\((c2_1 (a1212))/\((~(c0_1 (a1212)))/\(~(c3_1 (a1212)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp10))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((hskp25)\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H25a zenon_H133 zenon_H282 zenon_H2c1 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H7b zenon_H9d zenon_H2b zenon_Ha9 zenon_H8c zenon_Hb zenon_H50 zenon_H1df zenon_H254 zenon_H180 zenon_H279 zenon_H27a zenon_H27b zenon_H293 zenon_H159 zenon_H64 zenon_Hb4 zenon_Hba zenon_H134. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Hf. zenon_intro zenon_H25b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H22a. zenon_intro zenon_H25c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_L732_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.19 apply (zenon_L229_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L40_); trivial. % 1.04/1.19 apply (zenon_L843_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_L732_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.19 apply (zenon_L229_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L40_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L844_); trivial. % 1.04/1.19 apply (zenon_L842_); trivial. % 1.04/1.19 (* end of lemma zenon_L845_ *) % 1.04/1.19 assert (zenon_L846_ : ((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1229))) -> (c0_1 (a1229)) -> (c2_1 (a1229)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((hskp25)\/(hskp21)) -> (~(c2_1 (a1233))) -> (c0_1 (a1233)) -> (c1_1 (a1233)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H186 zenon_H64 zenon_H172 zenon_H241 zenon_H242 zenon_H243 zenon_H8c zenon_H89 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H24a zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H254 zenon_H180 zenon_Hb zenon_H11 zenon_H12 zenon_H13 zenon_H24 zenon_H27 zenon_H2b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L12_); trivial. % 1.04/1.19 apply (zenon_L778_); trivial. % 1.04/1.19 (* end of lemma zenon_L846_ *) % 1.04/1.19 assert (zenon_L847_ : ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (ndr1_0) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> (~(c0_1 (a1232))) -> (~(c2_1 (a1232))) -> (c3_1 (a1232)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp25)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H28e zenon_H27b zenon_H27a zenon_H279 zenon_H24a zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_Hf zenon_H241 zenon_H242 zenon_H243 zenon_Ha0 zenon_Ha1 zenon_Ha2 zenon_Ha9 zenon_H9. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 1.04/1.19 apply (zenon_L451_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 1.04/1.19 apply (zenon_L41_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H240 | zenon_intro zenon_H24b ]. % 1.04/1.19 apply (zenon_L314_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H66 | zenon_intro zenon_Ha ]. % 1.04/1.19 apply (zenon_L832_); trivial. % 1.04/1.19 exact (zenon_H9 zenon_Ha). % 1.04/1.19 (* end of lemma zenon_L847_ *) % 1.04/1.19 assert (zenon_L848_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a1232)) -> (~(c2_1 (a1232))) -> (~(c0_1 (a1232))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (c2_1 (a1204)) -> (c3_1 (a1204)) -> (c0_1 (a1204)) -> (ndr1_0) -> (~(hskp9)) -> False). % 1.04/1.19 do 0 intro. intros zenon_Ha9 zenon_Ha2 zenon_Ha1 zenon_Ha0 zenon_H243 zenon_H242 zenon_H241 zenon_H145 zenon_H8c zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H1c zenon_H1d zenon_H1b zenon_Hf zenon_H89. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9f | zenon_intro zenon_Haa ]. % 1.04/1.19 apply (zenon_L41_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H91 | zenon_intro zenon_H42 ]. % 1.04/1.19 apply (zenon_L321_); trivial. % 1.04/1.19 apply (zenon_L640_); trivial. % 1.04/1.19 (* end of lemma zenon_L848_ *) % 1.04/1.19 assert (zenon_L849_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hb7 zenon_H2b zenon_H8c zenon_H89 zenon_H279 zenon_H27a zenon_H27b zenon_H24a zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H28e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 1.04/1.19 apply (zenon_L847_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H278 | zenon_intro zenon_H28f ]. % 1.04/1.19 apply (zenon_L451_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H9f | zenon_intro zenon_H145 ]. % 1.04/1.19 apply (zenon_L41_); trivial. % 1.04/1.19 apply (zenon_L848_); trivial. % 1.04/1.19 (* end of lemma zenon_L849_ *) % 1.04/1.19 assert (zenon_L850_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (ndr1_0) -> (c0_1 (a1204)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c3_1 (a1204)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H254 zenon_H54 zenon_H53 zenon_H52 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_Hf zenon_H1b zenon_H7f zenon_H1d. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H51 | zenon_intro zenon_H255 ]. % 1.04/1.19 apply (zenon_L23_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H14f | zenon_intro zenon_Hf3 ]. % 1.04/1.19 apply (zenon_L629_); trivial. % 1.04/1.19 apply (zenon_L471_); trivial. % 1.04/1.19 (* end of lemma zenon_L850_ *) % 1.04/1.19 assert (zenon_L851_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a1257)) -> (~(c1_1 (a1257))) -> (~(c0_1 (a1257))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H26 zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H254 zenon_H54 zenon_H53 zenon_H52 zenon_H2a8 zenon_H2a6 zenon_H2a7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 1.04/1.19 apply (zenon_L451_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 1.04/1.19 apply (zenon_L50_); trivial. % 1.04/1.19 apply (zenon_L850_); trivial. % 1.04/1.19 (* end of lemma zenon_L851_ *) % 1.04/1.19 assert (zenon_L852_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp25)\/(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H130 zenon_Hf2 zenon_Hb4 zenon_H64 zenon_H254 zenon_Hb zenon_Ha9 zenon_H28e zenon_H241 zenon_H242 zenon_H243 zenon_H24a zenon_H1da zenon_H9d zenon_H2b zenon_H61 zenon_H4d zenon_H112 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H5 zenon_H77 zenon_H279 zenon_H27a zenon_H27b zenon_H282 zenon_H90. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 1.04/1.19 apply (zenon_L839_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L550_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L517_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 1.04/1.19 apply (zenon_L847_); trivial. % 1.04/1.19 apply (zenon_L851_); trivial. % 1.04/1.19 (* end of lemma zenon_L852_ *) % 1.04/1.19 assert (zenon_L853_ : ((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a1215)) -> (c1_1 (a1215)) -> (~(c3_1 (a1215))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((hskp25)\/(hskp21)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hef zenon_Hb4 zenon_H279 zenon_H27a zenon_H27b zenon_Ha9 zenon_H28e zenon_H159 zenon_H155 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H139 zenon_H2b zenon_H180 zenon_H181 zenon_H150 zenon_H148 zenon_H147 zenon_H27 zenon_H24 zenon_H172 zenon_Hb zenon_H254 zenon_H24a zenon_H89 zenon_H8c zenon_H243 zenon_H242 zenon_H241 zenon_H64 zenon_H189. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L836_); trivial. % 1.04/1.19 apply (zenon_L849_); trivial. % 1.04/1.19 (* end of lemma zenon_L853_ *) % 1.04/1.19 assert (zenon_L854_ : ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (c0_1 (a1206)) -> (c0_1 (a1267)) -> (~(c1_1 (a1267))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (~(c2_1 (a1267))) -> (ndr1_0) -> False). % 1.04/1.19 do 0 intro. intros zenon_H4d zenon_H2a8 zenon_H2a7 zenon_H66 zenon_H2a6 zenon_H13e zenon_H13c zenon_H7f zenon_H13d zenon_Hf. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H38 | zenon_intro zenon_H42 ]. % 1.04/1.19 apply (zenon_L128_); trivial. % 1.04/1.19 apply (zenon_L624_); trivial. % 1.04/1.19 (* end of lemma zenon_L854_ *) % 1.04/1.19 assert (zenon_L855_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (ndr1_0) -> (~(c2_1 (a1267))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a1267))) -> (c0_1 (a1267)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp17)) -> (~(hskp5)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H77 zenon_Hf zenon_H13d zenon_H7f zenon_H13c zenon_H13e zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H4d zenon_H75 zenon_H5. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H66 | zenon_intro zenon_H78 ]. % 1.04/1.19 apply (zenon_L854_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H76 | zenon_intro zenon_H6 ]. % 1.04/1.19 exact (zenon_H75 zenon_H76). % 1.04/1.19 exact (zenon_H5 zenon_H6). % 1.04/1.19 (* end of lemma zenon_L855_ *) % 1.04/1.19 assert (zenon_L856_ : ((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp17)) -> (~(hskp5)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H15a zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H77 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H4d zenon_H75 zenon_H5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 1.04/1.19 apply (zenon_L451_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 1.04/1.19 apply (zenon_L50_); trivial. % 1.04/1.19 apply (zenon_L855_); trivial. % 1.04/1.19 (* end of lemma zenon_L856_ *) % 1.04/1.19 assert (zenon_L857_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (~(hskp17)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(hskp19)) -> (~(hskp14)) -> ((hskp24)\/((hskp19)\/(hskp14))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H159 zenon_H282 zenon_H4d zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H75 zenon_H5 zenon_H77 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H137 zenon_H9b zenon_H139. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 1.04/1.19 apply (zenon_L94_); trivial. % 1.04/1.19 apply (zenon_L856_); trivial. % 1.04/1.19 (* end of lemma zenon_L857_ *) % 1.04/1.19 assert (zenon_L858_ : ((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c2_1 (a1206)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1224)) -> (c3_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H60 zenon_H2b zenon_H282 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H2a7 zenon_H2a6 zenon_H2a8 zenon_H24a zenon_H93 zenon_H94 zenon_H92 zenon_Ha9 zenon_H243 zenon_H242 zenon_H241 zenon_H254. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Hf. zenon_intro zenon_H62. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H54. zenon_intro zenon_H63. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H52. zenon_intro zenon_H53. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 1.04/1.19 apply (zenon_L784_); trivial. % 1.04/1.19 apply (zenon_L851_); trivial. % 1.04/1.19 (* end of lemma zenon_L858_ *) % 1.04/1.19 assert (zenon_L859_ : ((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> (c3_1 (a1224)) -> (c1_1 (a1224)) -> (~(c2_1 (a1224))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hb7 zenon_H2b zenon_H282 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H241 zenon_H242 zenon_H243 zenon_Ha9 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H94 zenon_H93 zenon_H92 zenon_H24a. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 1.04/1.19 apply (zenon_L746_); trivial. % 1.04/1.19 apply (zenon_L455_); trivial. % 1.04/1.19 (* end of lemma zenon_L859_ *) % 1.04/1.19 assert (zenon_L860_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c1_1 (a1211)) -> (~(c2_1 (a1211))) -> (~(c0_1 (a1211))) -> (ndr1_0) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> (~(hskp25)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H24a zenon_H243 zenon_H242 zenon_H241 zenon_Hf zenon_H67 zenon_H68 zenon_H69 zenon_H79 zenon_H7b zenon_H9. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H240 | zenon_intro zenon_H24b ]. % 1.04/1.19 apply (zenon_L314_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H66 | zenon_intro zenon_Ha ]. % 1.04/1.19 apply (zenon_L767_); trivial. % 1.04/1.19 exact (zenon_H9 zenon_Ha). % 1.04/1.19 (* end of lemma zenon_L860_ *) % 1.04/1.19 assert (zenon_L861_ : ((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp5)) -> (~(hskp17)) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H26 zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H217 zenon_H5 zenon_H75 zenon_H67 zenon_H68 zenon_H69 zenon_H77. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_Hf. zenon_intro zenon_H28. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H1b. zenon_intro zenon_H29. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 1.04/1.19 apply (zenon_L451_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbb | zenon_intro zenon_H7f ]. % 1.04/1.19 apply (zenon_L50_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H65 | zenon_intro zenon_H218 ]. % 1.04/1.19 apply (zenon_L30_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1d0 ]. % 1.04/1.19 apply (zenon_L471_); trivial. % 1.04/1.19 apply (zenon_L547_); trivial. % 1.04/1.19 (* end of lemma zenon_L861_ *) % 1.04/1.19 assert (zenon_L862_ : ((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (~(c1_1 (a1223))) -> (~(c3_1 (a1223))) -> (c2_1 (a1223)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_H2b zenon_H282 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H241 zenon_H242 zenon_H243 zenon_Ha9 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H24a zenon_H67 zenon_H68 zenon_H69 zenon_H9d. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L40_); trivial. % 1.04/1.19 apply (zenon_L859_); trivial. % 1.04/1.19 (* end of lemma zenon_L862_ *) % 1.04/1.19 assert (zenon_L863_ : ((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a1219)) -> (c1_1 (a1219)) -> (~(c0_1 (a1219))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H12d zenon_Hba zenon_Hb4 zenon_Ha9 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H9d zenon_H2b zenon_H282 zenon_H77 zenon_H5 zenon_H217 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H27b zenon_H27a zenon_H279 zenon_H241 zenon_H242 zenon_H243 zenon_H7b zenon_H24a zenon_H90. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 1.04/1.19 apply (zenon_L860_); trivial. % 1.04/1.19 apply (zenon_L861_); trivial. % 1.04/1.19 apply (zenon_L452_); trivial. % 1.04/1.19 apply (zenon_L862_); trivial. % 1.04/1.19 (* end of lemma zenon_L863_ *) % 1.04/1.19 assert (zenon_L864_ : ((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp10))) -> (c2_1 (a1206)) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (~(c3_1 (a1215))) -> (c1_1 (a1215)) -> (c2_1 (a1215)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> (~(c2_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c0_1 (a1207))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp25)\/(hskp21)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a1211))) -> (~(c2_1 (a1211))) -> (c1_1 (a1211)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H130 zenon_H134 zenon_H9d zenon_H217 zenon_H7b zenon_H2c1 zenon_H2a8 zenon_H2a6 zenon_H2a7 zenon_H147 zenon_H148 zenon_H150 zenon_H192 zenon_H90 zenon_H159 zenon_H282 zenon_H4d zenon_H5 zenon_H77 zenon_H27b zenon_H27a zenon_H279 zenon_H139 zenon_H2b zenon_H27 zenon_H181 zenon_Hb zenon_H254 zenon_H241 zenon_H242 zenon_H243 zenon_Ha9 zenon_H24a zenon_H64 zenon_H189 zenon_Hb4 zenon_Hba. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.19 apply (zenon_L707_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 1.04/1.19 apply (zenon_L857_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L473_); trivial. % 1.04/1.19 apply (zenon_L858_); trivial. % 1.04/1.19 apply (zenon_L452_); trivial. % 1.04/1.19 apply (zenon_L859_); trivial. % 1.04/1.19 apply (zenon_L863_); trivial. % 1.04/1.19 (* end of lemma zenon_L864_ *) % 1.04/1.19 assert (zenon_L865_ : ((ndr1_0)/\((c1_1 (a1211))/\((~(c0_1 (a1211)))/\(~(c2_1 (a1211)))))) -> ((~(hskp5))\/((ndr1_0)/\((c2_1 (a1212))/\((~(c0_1 (a1212)))/\(~(c3_1 (a1212))))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> (~(c0_1 (a1207))) -> (~(c1_1 (a1207))) -> (~(c2_1 (a1207))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((hskp25)\/(hskp21)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((hskp15)\/((hskp6)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> (c0_1 (a1206)) -> (~(c3_1 (a1206))) -> (c2_1 (a1206)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a1215))/\((c2_1 (a1215))/\(~(c3_1 (a1215))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H275 zenon_H259 zenon_H133 zenon_H1da zenon_H282 zenon_Hf2 zenon_Hb4 zenon_H279 zenon_H27a zenon_H27b zenon_Ha9 zenon_H28e zenon_H159 zenon_H155 zenon_H139 zenon_Hb zenon_H180 zenon_H254 zenon_H172 zenon_H64 zenon_H189 zenon_H7 zenon_H61 zenon_H77 zenon_H4d zenon_H24a zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H112 zenon_H27 zenon_H2b zenon_H8c zenon_H90 zenon_Hca zenon_H7b zenon_H9d zenon_Hba zenon_H134 zenon_H181 zenon_H5b zenon_H192 zenon_H2c1 zenon_H217 zenon_H23c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H243. zenon_intro zenon_H277. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H241. zenon_intro zenon_H242. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 1.04/1.19 apply (zenon_L744_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.19 apply (zenon_L4_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 1.04/1.19 apply (zenon_L690_); trivial. % 1.04/1.19 apply (zenon_L846_); trivial. % 1.04/1.19 apply (zenon_L849_); trivial. % 1.04/1.19 apply (zenon_L748_); trivial. % 1.04/1.19 apply (zenon_L852_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L773_); trivial. % 1.04/1.19 apply (zenon_L849_); trivial. % 1.04/1.19 apply (zenon_L853_); trivial. % 1.04/1.19 apply (zenon_L748_); trivial. % 1.04/1.19 apply (zenon_L864_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Hf. zenon_intro zenon_H25b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H22a. zenon_intro zenon_H25c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_L790_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_L732_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.19 apply (zenon_L229_); trivial. % 1.04/1.19 apply (zenon_L862_); trivial. % 1.04/1.19 (* end of lemma zenon_L865_ *) % 1.04/1.19 assert (zenon_L866_ : ((~(hskp2))\/((ndr1_0)/\((~(c0_1 (a1207)))/\((~(c1_1 (a1207)))/\(~(c2_1 (a1207))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp4))\/((ndr1_0)/\((c1_1 (a1211))/\((~(c0_1 (a1211)))/\(~(c2_1 (a1211))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c1_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp25))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a1215))/\((c2_1 (a1215))/\(~(c3_1 (a1215))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1236))/\((~(c1_1 (a1236)))/\(~(c3_1 (a1236))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1261)))/\((~(c2_1 (a1261)))/\(~(c3_1 (a1261))))))) -> ((hskp16)\/((hskp20)\/(hskp23))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp19))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp24)\/((hskp19)\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c3_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c3_1 X7))))))\/((hskp15)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp10))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1219))/\((c2_1 (a1219))/\(~(c0_1 (a1219))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp27))) -> ((hskp27)\/((hskp19)\/(hskp2))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c1_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1213))/\((c2_1 (a1213))/\(c3_1 (a1213)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1247))/\((~(c2_1 (a1247)))/\(~(c3_1 (a1247))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(~(c0_1 Z))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/(forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c0_1 X68))\/(~(c1_1 X68)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp28)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((hskp2)\/(hskp7))) -> ((hskp22)\/((hskp6)\/(hskp7))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c1_1 X67))))))\/((hskp19)\/(hskp20))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((~(c0_1 X80))\/(~(c2_1 X80))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp6))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp13)\/(hskp6))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1250))/\((c3_1 (a1250))/\(~(c0_1 (a1250))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1229))/\((c2_1 (a1229))/\(~(c1_1 (a1229))))))) -> ((hskp15)\/((hskp6)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1259))/\((~(c2_1 (a1259)))/\(~(c3_1 (a1259))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp22))) -> (c2_1 (a1206)) -> (~(c3_1 (a1206))) -> (c0_1 (a1206)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/((hskp17)\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1204))/\((c2_1 (a1204))/\(c3_1 (a1204)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((hskp25)\/(hskp21)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1267))/\((~(c1_1 (a1267)))/\(~(c2_1 (a1267))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp4))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1214))/\((c1_1 (a1214))/\(c3_1 (a1214)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp26)\/((hskp28)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1208))/\((c1_1 (a1208))/\(c2_1 (a1208)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1257))/\((~(c0_1 (a1257)))/\(~(c1_1 (a1257))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1237))/\((c3_1 (a1237))/\(~(c1_1 (a1237))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1233))/\((c1_1 (a1233))/\(~(c2_1 (a1233))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c1_1 X37))\/(~(c3_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a1232))/\((~(c0_1 (a1232)))/\(~(c2_1 (a1232))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1224))/\((c3_1 (a1224))/\(~(c2_1 (a1224))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1223))/\((~(c1_1 (a1223)))/\(~(c3_1 (a1223))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp12))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1228))/\((c3_1 (a1228))/\(~(c2_1 (a1228))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp13)\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c1_1 (a1216)))/\((~(c2_1 (a1216)))/\(~(c3_1 (a1216))))))) -> ((~(hskp5))\/((ndr1_0)/\((c2_1 (a1212))/\((~(c0_1 (a1212)))/\(~(c3_1 (a1212))))))) -> ((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)->((c0_1 W)\/((c3_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp3))\/((ndr1_0)/\((c0_1 (a1210))/\((c1_1 (a1210))/\(~(c3_1 (a1210))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H2ca zenon_H293 zenon_H274 zenon_H24a zenon_H157 zenon_H5b zenon_H23c zenon_H1f3 zenon_H222 zenon_H11e zenon_H1a8 zenon_H19a zenon_H1b9 zenon_H181 zenon_H139 zenon_H192 zenon_H193 zenon_H1da zenon_H2c1 zenon_H133 zenon_H1ec zenon_H1cc zenon_H217 zenon_H1de zenon_H155 zenon_H189 zenon_H1ea zenon_H172 zenon_H1e1 zenon_H30 zenon_H270 zenon_H127 zenon_H2ba zenon_H211 zenon_H1bd zenon_Hf2 zenon_H7 zenon_H61 zenon_H4d zenon_H112 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H77 zenon_H2b zenon_H27 zenon_Hb zenon_H159 zenon_H15f zenon_H8c zenon_H180 zenon_H254 zenon_H1df zenon_H50 zenon_H64 zenon_H90 zenon_Hca zenon_H7b zenon_H9d zenon_Ha9 zenon_Hb4 zenon_Hba zenon_H134 zenon_H28c zenon_H12c zenon_Hd9 zenon_H282 zenon_H224 zenon_H259 zenon_H28e zenon_H2a2. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H1ca | zenon_intro zenon_H2cb ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H2a3 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H15d | zenon_intro zenon_H275 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_L639_); trivial. % 1.04/1.19 apply (zenon_L647_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.19 apply (zenon_L658_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L661_); trivial. % 1.04/1.19 apply (zenon_L665_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_L669_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_L668_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 1.04/1.19 apply (zenon_L56_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.19 apply (zenon_L4_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 1.04/1.19 apply (zenon_L32_); trivial. % 1.04/1.19 apply (zenon_L680_); trivial. % 1.04/1.19 apply (zenon_L667_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L40_); trivial. % 1.04/1.19 apply (zenon_L686_); trivial. % 1.04/1.19 apply (zenon_L689_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_L706_); trivial. % 1.04/1.19 apply (zenon_L647_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.19 apply (zenon_L707_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 1.04/1.19 apply (zenon_L690_); trivial. % 1.04/1.19 apply (zenon_L710_); trivial. % 1.04/1.19 apply (zenon_L163_); trivial. % 1.04/1.19 apply (zenon_L194_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_L718_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.19 apply (zenon_L707_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 1.04/1.19 apply (zenon_L725_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 1.04/1.19 apply (zenon_L690_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Hf. zenon_intro zenon_H187. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H16b. zenon_intro zenon_H188. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_Hc | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L111_); trivial. % 1.04/1.19 apply (zenon_L727_); trivial. % 1.04/1.19 apply (zenon_L730_); trivial. % 1.04/1.19 apply (zenon_L715_); trivial. % 1.04/1.19 apply (zenon_L731_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Hf. zenon_intro zenon_H25b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H22a. zenon_intro zenon_H25c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 1.04/1.19 apply (zenon_L739_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_L732_); trivial. % 1.04/1.19 apply (zenon_L303_); trivial. % 1.04/1.19 apply (zenon_L740_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H243. zenon_intro zenon_H277. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H241. zenon_intro zenon_H242. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_L749_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L661_); trivial. % 1.04/1.19 apply (zenon_L752_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_L749_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_L763_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 1.04/1.19 apply (zenon_L56_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L755_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.19 apply (zenon_L4_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 1.04/1.19 apply (zenon_L32_); trivial. % 1.04/1.19 apply (zenon_L765_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L766_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.19 apply (zenon_L4_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1db ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H161 | zenon_intro zenon_H1ed ]. % 1.04/1.19 apply (zenon_L769_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c9 ]. % 1.04/1.19 apply (zenon_L8_); trivial. % 1.04/1.19 exact (zenon_H1c8 zenon_H1c9). % 1.04/1.19 apply (zenon_L351_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 1.04/1.19 apply (zenon_L56_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L755_); trivial. % 1.04/1.19 apply (zenon_L686_); trivial. % 1.04/1.19 apply (zenon_L689_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_L786_); trivial. % 1.04/1.19 apply (zenon_L748_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.19 apply (zenon_L177_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L789_); trivial. % 1.04/1.19 apply (zenon_L163_); trivial. % 1.04/1.19 apply (zenon_L194_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_L786_); trivial. % 1.04/1.19 apply (zenon_L717_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.19 apply (zenon_L707_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.19 apply (zenon_L789_); trivial. % 1.04/1.19 apply (zenon_L715_); trivial. % 1.04/1.19 apply (zenon_L731_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Hf. zenon_intro zenon_H25b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H22a. zenon_intro zenon_H25c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 1.04/1.19 apply (zenon_L739_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_L790_); trivial. % 1.04/1.19 apply (zenon_L791_); trivial. % 1.04/1.19 apply (zenon_L740_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_Hf. zenon_intro zenon_H2a4. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H25d. zenon_intro zenon_H2a5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H25e. zenon_intro zenon_H266. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H15d | zenon_intro zenon_H275 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.19 apply (zenon_L4_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 1.04/1.20 apply (zenon_L15_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 1.04/1.20 apply (zenon_L243_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Hf. zenon_intro zenon_H15b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H13e. zenon_intro zenon_H15c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H13b | zenon_intro zenon_H1eb ]. % 1.04/1.20 apply (zenon_L95_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e7 ]. % 1.04/1.20 apply (zenon_L652_); trivial. % 1.04/1.20 apply (zenon_L376_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.20 apply (zenon_L801_); trivial. % 1.04/1.20 apply (zenon_L647_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.20 apply (zenon_L801_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 1.04/1.20 apply (zenon_L805_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.20 apply (zenon_L808_); trivial. % 1.04/1.20 apply (zenon_L798_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.20 apply (zenon_L808_); trivial. % 1.04/1.20 apply (zenon_L800_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.20 apply (zenon_L40_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.20 apply (zenon_L4_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 1.04/1.20 apply (zenon_L683_); trivial. % 1.04/1.20 apply (zenon_L813_); trivial. % 1.04/1.20 apply (zenon_L689_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.20 apply (zenon_L706_); trivial. % 1.04/1.20 apply (zenon_L385_); trivial. % 1.04/1.20 apply (zenon_L817_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.20 apply (zenon_L718_); trivial. % 1.04/1.20 apply (zenon_L819_); trivial. % 1.04/1.20 apply (zenon_L820_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H243. zenon_intro zenon_H277. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H241. zenon_intro zenon_H242. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.20 apply (zenon_L822_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2c | zenon_intro zenon_H5d ]. % 1.04/1.20 apply (zenon_L15_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Hf. zenon_intro zenon_H5e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H3b. zenon_intro zenon_H5f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H135 | zenon_intro zenon_H15a ]. % 1.04/1.20 apply (zenon_L243_); trivial. % 1.04/1.20 apply (zenon_L431_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.20 apply (zenon_L749_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.20 apply (zenon_L825_); trivial. % 1.04/1.20 apply (zenon_L826_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.20 apply (zenon_L794_); trivial. % 1.04/1.20 apply (zenon_L828_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.20 apply (zenon_L808_); trivial. % 1.04/1.20 apply (zenon_L826_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Hf. zenon_intro zenon_H12a. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf4. zenon_intro zenon_H12b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.20 apply (zenon_L808_); trivial. % 1.04/1.20 apply (zenon_L828_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hf. zenon_intro zenon_Hb5. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H93. zenon_intro zenon_Hb6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H94. zenon_intro zenon_H92. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H129 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.20 apply (zenon_L40_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.20 apply (zenon_L4_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26 ]. % 1.04/1.20 apply (zenon_L753_); trivial. % 1.04/1.20 apply (zenon_L809_); trivial. % 1.04/1.20 apply (zenon_L689_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.20 apply (zenon_L831_); trivial. % 1.04/1.20 apply (zenon_L776_); trivial. % 1.04/1.20 apply (zenon_L780_); trivial. % 1.04/1.20 apply (zenon_L785_); trivial. % 1.04/1.20 apply (zenon_L748_); trivial. % 1.04/1.20 apply (zenon_L817_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H79 | zenon_intro zenon_Hb3 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hef ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.20 apply (zenon_L831_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 1.04/1.20 apply (zenon_L628_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 1.04/1.20 apply (zenon_L835_); trivial. % 1.04/1.20 apply (zenon_L830_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hf. zenon_intro zenon_Hf0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hdc. zenon_intro zenon_Hf1. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hdd. zenon_intro zenon_Hdb. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hb7 ]. % 1.04/1.20 apply (zenon_L836_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Hf. zenon_intro zenon_Hb8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha2. zenon_intro zenon_Hb9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha0. zenon_intro zenon_Ha1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H8b ]. % 1.04/1.20 apply (zenon_L837_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8d. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H81. zenon_intro zenon_H8e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H82. zenon_intro zenon_H80. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H137 | zenon_intro zenon_H186 ]. % 1.04/1.20 apply (zenon_L835_); trivial. % 1.04/1.20 apply (zenon_L696_); trivial. % 1.04/1.20 apply (zenon_L818_); trivial. % 1.04/1.20 apply (zenon_L748_); trivial. % 1.04/1.20 apply (zenon_L819_); trivial. % 1.04/1.20 apply (zenon_L820_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_Hf. zenon_intro zenon_H2cc. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H279. zenon_intro zenon_H2cd. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H27a. zenon_intro zenon_H27b. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H15d | zenon_intro zenon_H275 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 1.04/1.20 apply (zenon_L841_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.20 apply (zenon_L706_); trivial. % 1.04/1.20 apply (zenon_L838_); trivial. % 1.04/1.20 apply (zenon_L840_); trivial. % 1.04/1.20 apply (zenon_L845_); trivial. % 1.04/1.20 apply (zenon_L865_); trivial. % 1.04/1.20 (* end of lemma zenon_L866_ *) % 1.04/1.20 apply NNPP. intro zenon_G. % 1.04/1.20 apply zenon_G. zenon_intro zenon_H2ce. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H2d0. zenon_intro zenon_H2cf. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d2. zenon_intro zenon_H2d1. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H2ca. zenon_intro zenon_H2d3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H2a2. zenon_intro zenon_H2d4. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H274. zenon_intro zenon_H2d5. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H259. zenon_intro zenon_H2d6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H23c. zenon_intro zenon_H2d7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H224. zenon_intro zenon_H2d8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H2da. zenon_intro zenon_H2d9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H133. zenon_intro zenon_H2db. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H134. zenon_intro zenon_H2dc. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Hba. zenon_intro zenon_H2dd. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H12c. zenon_intro zenon_H2de. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_Hf2. zenon_intro zenon_H2df. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_Hb4. zenon_intro zenon_H2e0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_Hca. zenon_intro zenon_H2e1. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H11e. zenon_intro zenon_H2e2. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H90. zenon_intro zenon_H2e3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H2e5. zenon_intro zenon_H2e4. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H189. zenon_intro zenon_H2e6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H1bd. zenon_intro zenon_H2e7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H64. zenon_intro zenon_H2e8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H61. zenon_intro zenon_H2e9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H1a8. zenon_intro zenon_H2ea. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H159. zenon_intro zenon_H2eb. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2b. zenon_intro zenon_H2ec. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H50. zenon_intro zenon_H2ed. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1de. zenon_intro zenon_H2ee. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H180. zenon_intro zenon_H2ef. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H28e. zenon_intro zenon_H2f0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H293. zenon_intro zenon_H2f1. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H282. zenon_intro zenon_H2f2. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2f4. zenon_intro zenon_H2f3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f6. zenon_intro zenon_H2f5. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H2f8. zenon_intro zenon_H2f7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H2fa. zenon_intro zenon_H2f9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H2fc. zenon_intro zenon_H2fb. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H1f3. zenon_intro zenon_H2fd. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H5b. zenon_intro zenon_H2fe. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H15f. zenon_intro zenon_H2ff. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H254. zenon_intro zenon_H300. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H107. zenon_intro zenon_H301. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H1ec. zenon_intro zenon_H302. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H181. zenon_intro zenon_H303. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H172. zenon_intro zenon_H304. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H295. zenon_intro zenon_H305. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H307. zenon_intro zenon_H306. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H24a. zenon_intro zenon_H308. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_Ha9. zenon_intro zenon_H309. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H222. zenon_intro zenon_H30a. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H157. zenon_intro zenon_H30b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H1da. zenon_intro zenon_H30c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30e. zenon_intro zenon_H30d. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H310. zenon_intro zenon_H30f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H2c1. zenon_intro zenon_H311. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H217. zenon_intro zenon_H312. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H7b. zenon_intro zenon_H313. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hc6. zenon_intro zenon_H314. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H211. zenon_intro zenon_H315. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H192. zenon_intro zenon_H316. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H28c. zenon_intro zenon_H317. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_Hd9. zenon_intro zenon_H318. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H1c6. zenon_intro zenon_H319. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H1ea. zenon_intro zenon_H31a. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H155. zenon_intro zenon_H31b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H193. zenon_intro zenon_H31c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H105. zenon_intro zenon_H31d. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H77. zenon_intro zenon_H31e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H8c. zenon_intro zenon_H31f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H9d. zenon_intro zenon_H320. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H2ba. zenon_intro zenon_H321. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H323. zenon_intro zenon_H322. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H127. zenon_intro zenon_H324. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H326. zenon_intro zenon_H325. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H1b9. zenon_intro zenon_H327. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H4d. zenon_intro zenon_H328. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H32a. zenon_intro zenon_H329. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H270. zenon_intro zenon_H32b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H32d. zenon_intro zenon_H32c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H27. zenon_intro zenon_H32e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H330. zenon_intro zenon_H32f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H332. zenon_intro zenon_H331. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H334. zenon_intro zenon_H333. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H112. zenon_intro zenon_H335. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H337. zenon_intro zenon_H336. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H1e1. zenon_intro zenon_H338. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H33a. zenon_intro zenon_H339. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1df. zenon_intro zenon_H33b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H36. zenon_intro zenon_H33c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H7. zenon_intro zenon_H33d. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H33f. zenon_intro zenon_H33e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_Hb. zenon_intro zenon_H340. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H342. zenon_intro zenon_H341. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H139. zenon_intro zenon_H343. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H19a. zenon_intro zenon_H344. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H346. zenon_intro zenon_H345. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H30. zenon_intro zenon_H347. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H1cc. zenon_intro zenon_H348. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H34 | zenon_intro zenon_H349 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H1ca | zenon_intro zenon_H2cb ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H2a3 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H15d | zenon_intro zenon_H275 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3 | zenon_intro zenon_H23d ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H2e | zenon_intro zenon_H225 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H89 | zenon_intro zenon_H130 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H1 | zenon_intro zenon_Hc5 ]. % 1.04/1.20 apply (zenon_L4_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H13. zenon_intro zenon_H11. % 1.04/1.20 apply (zenon_L27_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hf. zenon_intro zenon_H12e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H69. zenon_intro zenon_H12f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H67. zenon_intro zenon_H68. % 1.04/1.20 apply (zenon_L49_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf. zenon_intro zenon_H131. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbd. zenon_intro zenon_H132. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbe. zenon_intro zenon_Hbc. % 1.04/1.20 apply (zenon_L52_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_Hf. zenon_intro zenon_H226. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hcc. zenon_intro zenon_H227. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.04/1.20 apply (zenon_L91_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_Hf. zenon_intro zenon_H23e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H148. zenon_intro zenon_H23f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H150. zenon_intro zenon_H147. % 1.04/1.20 apply (zenon_L227_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Hf. zenon_intro zenon_H25b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H22a. zenon_intro zenon_H25c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.04/1.20 apply (zenon_L307_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H243. zenon_intro zenon_H277. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H241. zenon_intro zenon_H242. % 1.04/1.20 apply (zenon_L373_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_Hf. zenon_intro zenon_H2a4. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H25d. zenon_intro zenon_H2a5. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H25e. zenon_intro zenon_H266. % 1.04/1.20 apply (zenon_L450_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_Hf. zenon_intro zenon_H2cc. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H279. zenon_intro zenon_H2cd. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H27a. zenon_intro zenon_H27b. % 1.04/1.20 apply (zenon_L623_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_Hf. zenon_intro zenon_H34a. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H2a6. zenon_intro zenon_H34b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H2a8. zenon_intro zenon_H2a7. % 1.04/1.20 apply (zenon_L866_); trivial. % 1.04/1.20 Qed. % 1.04/1.20 % SZS output end Proof % 1.04/1.20 (* END-PROOF *) % 1.04/1.20 nodes searched: 36359 % 1.04/1.20 max branch formulas: 446 % 1.04/1.20 proof nodes created: 6320 % 1.04/1.20 formulas created: 35837 % 1.04/1.20 %------------------------------------------------------------------------------