%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN478+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 21 13:53:21 EDT 2022 % Result : Theorem 0.82s 1.00s % Output : Proof 1.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN478+1 : TPTP v8.1.0. Released v2.1.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n010.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 01:23:00 EDT 2022 % 0.12/0.33 % CPUTime : % 0.82/1.00 (* PROOF-FOUND *) % 0.82/1.00 % SZS status Theorem % 0.82/1.00 (* BEGIN-PROOF *) % 0.82/1.00 % SZS output start Proof % 0.82/1.00 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((~(c0_1 (a1306)))/\((~(c1_1 (a1306)))/\(~(c2_1 (a1306)))))))/\(((~(hskp1))\/((ndr1_0)/\((c3_1 (a1308))/\((~(c1_1 (a1308)))/\(~(c2_1 (a1308)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a1309))/\((c3_1 (a1309))/\(~(c2_1 (a1309)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a1311))/\((c2_1 (a1311))/\(~(c1_1 (a1311)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a1312))/\((~(c1_1 (a1312)))/\(~(c3_1 (a1312)))))))/\(((~(hskp5))\/((ndr1_0)/\((c1_1 (a1314))/\((~(c0_1 (a1314)))/\(~(c3_1 (a1314)))))))/\(((~(hskp6))\/((ndr1_0)/\((c3_1 (a1315))/\((~(c0_1 (a1315)))/\(~(c1_1 (a1315)))))))/\(((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316)))))))/\(((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319)))))))/\(((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))))/\(((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))))/\(((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))))/\(((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))))/\(((~(hskp19))\/((ndr1_0)/\((c0_1 (a1344))/\((c1_1 (a1344))/\(~(c2_1 (a1344)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348)))))))/\(((~(hskp21))\/((ndr1_0)/\((c3_1 (a1352))/\((~(c0_1 (a1352)))/\(~(c2_1 (a1352)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356)))))))/\(((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359)))))))/\(((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp27)\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp1)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp4)\/(hskp2)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp5)\/(hskp6)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c1_1 X53))))))\/(hskp0)))/\(((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15)))/\(((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(hskp14)))/\(((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18)))/\(((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7)))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((hskp2)\/(hskp1)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/((hskp19)\/(hskp15)))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/((hskp20)\/(hskp2)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/((hskp12)\/(hskp0)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/((hskp21)\/(hskp0)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13)))/\(((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8)))/\(((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp14)\/(hskp12)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6)))/\(((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5)))/\(((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17)))/\(((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13))/\(((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29)))/\(((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11)))/\(((hskp27)\/((hskp14)\/(hskp18)))/\(((hskp30)\/((hskp2)\/(hskp9)))/\(((hskp19)\/((hskp14)\/(hskp9)))/\(((hskp28)\/((hskp25)\/(hskp14)))/\(((hskp28)\/((hskp1)\/(hskp7)))/\(((hskp3)\/((hskp4)\/(hskp7)))/\(((hskp3)\/((hskp21)\/(hskp7)))/\(((hskp25)\/((hskp20)\/(hskp6)))/\(((hskp14)\/((hskp4)\/(hskp1)))/\(((hskp26)\/((hskp29)\/(hskp20)))/\(((hskp26)\/(hskp12))/\(((hskp20)\/(hskp18))/\(((hskp2)\/((hskp1)\/(hskp23)))/\(((hskp18)\/((hskp5)\/(hskp16)))/\((hskp6)\/((hskp0)\/(hskp23)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.82/1.00 Proof. % 0.82/1.00 assert (zenon_L1_ : (~(hskp3)) -> (hskp3) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1 zenon_H2. % 0.82/1.00 exact (zenon_H1 zenon_H2). % 0.82/1.00 (* end of lemma zenon_L1_ *) % 0.82/1.00 assert (zenon_L2_ : (~(hskp4)) -> (hskp4) -> False). % 0.82/1.00 do 0 intro. intros zenon_H3 zenon_H4. % 0.82/1.00 exact (zenon_H3 zenon_H4). % 0.82/1.00 (* end of lemma zenon_L2_ *) % 0.82/1.00 assert (zenon_L3_ : (~(hskp7)) -> (hskp7) -> False). % 0.82/1.00 do 0 intro. intros zenon_H5 zenon_H6. % 0.82/1.00 exact (zenon_H5 zenon_H6). % 0.82/1.00 (* end of lemma zenon_L3_ *) % 0.82/1.00 assert (zenon_L4_ : ((hskp3)\/((hskp4)\/(hskp7))) -> (~(hskp3)) -> (~(hskp4)) -> (~(hskp7)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.82/1.00 exact (zenon_H1 zenon_H2). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.82/1.00 exact (zenon_H3 zenon_H4). % 0.82/1.00 exact (zenon_H5 zenon_H6). % 0.82/1.00 (* end of lemma zenon_L4_ *) % 0.82/1.00 assert (zenon_L5_ : (~(hskp26)) -> (hskp26) -> False). % 0.82/1.00 do 0 intro. intros zenon_H9 zenon_Ha. % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 (* end of lemma zenon_L5_ *) % 0.82/1.00 assert (zenon_L6_ : (~(hskp29)) -> (hskp29) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hb zenon_Hc. % 0.82/1.00 exact (zenon_Hb zenon_Hc). % 0.82/1.00 (* end of lemma zenon_L6_ *) % 0.82/1.00 assert (zenon_L7_ : (~(hskp20)) -> (hskp20) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hd zenon_He. % 0.82/1.00 exact (zenon_Hd zenon_He). % 0.82/1.00 (* end of lemma zenon_L7_ *) % 0.82/1.00 assert (zenon_L8_ : ((hskp26)\/((hskp29)\/(hskp20))) -> (~(hskp26)) -> (~(hskp29)) -> (~(hskp20)) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ]. % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 0.82/1.00 exact (zenon_Hb zenon_Hc). % 0.82/1.00 exact (zenon_Hd zenon_He). % 0.82/1.00 (* end of lemma zenon_L8_ *) % 0.82/1.00 assert (zenon_L9_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.82/1.00 do 0 intro. intros zenon_H11 zenon_H12. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 (* end of lemma zenon_L9_ *) % 0.82/1.00 assert (zenon_L10_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (c1_1 (a1338)) -> (c2_1 (a1338)) -> (c3_1 (a1338)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H13 zenon_H12 zenon_H14 zenon_H15 zenon_H16. % 0.82/1.00 generalize (zenon_H13 (a1338)). zenon_intro zenon_H17. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H11 | zenon_intro zenon_H18 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.82/1.00 exact (zenon_H1a zenon_H14). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.82/1.00 exact (zenon_H1c zenon_H15). % 0.82/1.00 exact (zenon_H1b zenon_H16). % 0.82/1.00 (* end of lemma zenon_L10_ *) % 0.82/1.00 assert (zenon_L11_ : (~(hskp22)) -> (hskp22) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1d zenon_H1e. % 0.82/1.00 exact (zenon_H1d zenon_H1e). % 0.82/1.00 (* end of lemma zenon_L11_ *) % 0.82/1.00 assert (zenon_L12_ : (~(hskp11)) -> (hskp11) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1f zenon_H20. % 0.82/1.00 exact (zenon_H1f zenon_H20). % 0.82/1.00 (* end of lemma zenon_L12_ *) % 0.82/1.00 assert (zenon_L13_ : ((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp22)) -> (~(hskp11)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H21 zenon_H22 zenon_H1d zenon_H1f. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H13 | zenon_intro zenon_H25 ]. % 0.82/1.00 apply (zenon_L10_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H1e | zenon_intro zenon_H20 ]. % 0.82/1.00 exact (zenon_H1d zenon_H1e). % 0.82/1.00 exact (zenon_H1f zenon_H20). % 0.82/1.00 (* end of lemma zenon_L13_ *) % 0.82/1.00 assert (zenon_L14_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> (~(hskp26)) -> (~(hskp20)) -> ((hskp26)\/((hskp29)\/(hskp20))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H26 zenon_H22 zenon_H1f zenon_H1d zenon_H9 zenon_Hd zenon_Hf. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.82/1.00 apply (zenon_L8_); trivial. % 0.82/1.00 apply (zenon_L13_); trivial. % 0.82/1.00 (* end of lemma zenon_L14_ *) % 0.82/1.00 assert (zenon_L15_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11))))) -> (ndr1_0) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H27 zenon_H12 zenon_H28 zenon_H29 zenon_H2a. % 0.82/1.00 generalize (zenon_H27 (a1316)). zenon_intro zenon_H2b. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.82/1.00 exact (zenon_H28 zenon_H2e). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.82/1.00 exact (zenon_H29 zenon_H30). % 0.82/1.00 exact (zenon_H2a zenon_H2f). % 0.82/1.00 (* end of lemma zenon_L15_ *) % 0.82/1.00 assert (zenon_L16_ : (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))) -> (ndr1_0) -> (~(c2_1 (a1411))) -> (~(c3_1 (a1411))) -> (c0_1 (a1411)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H31 zenon_H12 zenon_H32 zenon_H33 zenon_H34. % 0.82/1.00 generalize (zenon_H31 (a1411)). zenon_intro zenon_H35. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H11 | zenon_intro zenon_H36 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 0.82/1.00 exact (zenon_H32 zenon_H38). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 0.82/1.00 exact (zenon_H33 zenon_H3a). % 0.82/1.00 exact (zenon_H39 zenon_H34). % 0.82/1.00 (* end of lemma zenon_L16_ *) % 0.82/1.00 assert (zenon_L17_ : (~(hskp9)) -> (hskp9) -> False). % 0.82/1.00 do 0 intro. intros zenon_H3b zenon_H3c. % 0.82/1.00 exact (zenon_H3b zenon_H3c). % 0.82/1.00 (* end of lemma zenon_L17_ *) % 0.82/1.00 assert (zenon_L18_ : ((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(hskp9)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H3d zenon_H3e zenon_H2a zenon_H29 zenon_H28 zenon_H3b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H27 | zenon_intro zenon_H41 ]. % 0.82/1.00 apply (zenon_L15_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H31 | zenon_intro zenon_H3c ]. % 0.82/1.00 apply (zenon_L16_); trivial. % 0.82/1.00 exact (zenon_H3b zenon_H3c). % 0.82/1.00 (* end of lemma zenon_L18_ *) % 0.82/1.00 assert (zenon_L19_ : (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (ndr1_0) -> (~(c3_1 (a1356))) -> (c0_1 (a1356)) -> (c1_1 (a1356)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H42 zenon_H12 zenon_H43 zenon_H44 zenon_H45. % 0.82/1.00 generalize (zenon_H42 (a1356)). zenon_intro zenon_H46. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H11 | zenon_intro zenon_H47 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ]. % 0.82/1.00 exact (zenon_H43 zenon_H49). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ]. % 0.82/1.00 exact (zenon_H4b zenon_H44). % 0.82/1.00 exact (zenon_H4a zenon_H45). % 0.82/1.00 (* end of lemma zenon_L19_ *) % 0.82/1.00 assert (zenon_L20_ : (~(hskp24)) -> (hskp24) -> False). % 0.82/1.00 do 0 intro. intros zenon_H4c zenon_H4d. % 0.82/1.00 exact (zenon_H4c zenon_H4d). % 0.82/1.00 (* end of lemma zenon_L20_ *) % 0.82/1.00 assert (zenon_L21_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c1_1 (a1356)) -> (c0_1 (a1356)) -> (~(c3_1 (a1356))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp24)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H4e zenon_H45 zenon_H44 zenon_H43 zenon_H12 zenon_Hd zenon_H4c. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H42 | zenon_intro zenon_H4f ]. % 0.82/1.00 apply (zenon_L19_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_He | zenon_intro zenon_H4d ]. % 0.82/1.00 exact (zenon_Hd zenon_He). % 0.82/1.00 exact (zenon_H4c zenon_H4d). % 0.82/1.00 (* end of lemma zenon_L21_ *) % 0.82/1.00 assert (zenon_L22_ : (forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (ndr1_0) -> (~(c3_1 (a1370))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12)))))) -> (c2_1 (a1370)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H50 zenon_H12 zenon_H51 zenon_H52 zenon_H53. % 0.82/1.00 generalize (zenon_H50 (a1370)). zenon_intro zenon_H54. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H54); [ zenon_intro zenon_H11 | zenon_intro zenon_H55 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ]. % 0.82/1.00 exact (zenon_H51 zenon_H57). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ]. % 0.82/1.00 generalize (zenon_H52 (a1370)). zenon_intro zenon_H5a. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_H11 | zenon_intro zenon_H5b ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H5d | zenon_intro zenon_H5c ]. % 0.82/1.00 exact (zenon_H59 zenon_H5d). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 0.82/1.00 exact (zenon_H51 zenon_H57). % 0.82/1.00 exact (zenon_H58 zenon_H53). % 0.82/1.00 exact (zenon_H58 zenon_H53). % 0.82/1.00 (* end of lemma zenon_L22_ *) % 0.82/1.00 assert (zenon_L23_ : (~(hskp6)) -> (hskp6) -> False). % 0.82/1.00 do 0 intro. intros zenon_H5e zenon_H5f. % 0.82/1.00 exact (zenon_H5e zenon_H5f). % 0.82/1.00 (* end of lemma zenon_L23_ *) % 0.82/1.00 assert (zenon_L24_ : ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (c2_1 (a1370)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12)))))) -> (~(c3_1 (a1370))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp6)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H60 zenon_H53 zenon_H52 zenon_H51 zenon_H12 zenon_H3b zenon_H5e. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H50 | zenon_intro zenon_H61 ]. % 0.82/1.00 apply (zenon_L22_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3c | zenon_intro zenon_H5f ]. % 0.82/1.00 exact (zenon_H3b zenon_H3c). % 0.82/1.00 exact (zenon_H5e zenon_H5f). % 0.82/1.00 (* end of lemma zenon_L24_ *) % 0.82/1.00 assert (zenon_L25_ : ((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (~(hskp6)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H62 zenon_H63 zenon_H2a zenon_H29 zenon_H28 zenon_H3b zenon_H60 zenon_H5e. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H12. zenon_intro zenon_H64. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H53. zenon_intro zenon_H65. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H66. zenon_intro zenon_H51. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H27 | zenon_intro zenon_H67 ]. % 0.82/1.00 apply (zenon_L15_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H52 | zenon_intro zenon_H5f ]. % 0.82/1.00 apply (zenon_L24_); trivial. % 0.82/1.00 exact (zenon_H5e zenon_H5f). % 0.82/1.00 (* end of lemma zenon_L25_ *) % 0.82/1.00 assert (zenon_L26_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a1348))) -> (c1_1 (a1348)) -> (c2_1 (a1348)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H68 zenon_H12 zenon_H69 zenon_H6a zenon_H6b. % 0.82/1.00 generalize (zenon_H68 (a1348)). zenon_intro zenon_H6c. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H6c); [ zenon_intro zenon_H11 | zenon_intro zenon_H6d ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H6f | zenon_intro zenon_H6e ]. % 0.82/1.00 exact (zenon_H69 zenon_H6f). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H71 | zenon_intro zenon_H70 ]. % 0.82/1.00 exact (zenon_H71 zenon_H6a). % 0.82/1.00 exact (zenon_H70 zenon_H6b). % 0.82/1.00 (* end of lemma zenon_L26_ *) % 0.82/1.00 assert (zenon_L27_ : ((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(hskp6)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H72 zenon_H73 zenon_H2a zenon_H29 zenon_H28 zenon_H5e. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H27 | zenon_intro zenon_H76 ]. % 0.82/1.00 apply (zenon_L15_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H68 | zenon_intro zenon_H5f ]. % 0.82/1.00 apply (zenon_L26_); trivial. % 0.82/1.00 exact (zenon_H5e zenon_H5f). % 0.82/1.00 (* end of lemma zenon_L27_ *) % 0.82/1.00 assert (zenon_L28_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H77 zenon_H73 zenon_H78 zenon_H3e zenon_H3b zenon_H2a zenon_H29 zenon_H28 zenon_Hf zenon_H1f zenon_H22 zenon_H26 zenon_H4e zenon_H60 zenon_H5e zenon_H63 zenon_H79 zenon_H7a. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.82/1.00 apply (zenon_L14_); trivial. % 0.82/1.00 apply (zenon_L18_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H12. zenon_intro zenon_H7c. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H44. zenon_intro zenon_H7d. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H45. zenon_intro zenon_H43. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H4c | zenon_intro zenon_H62 ]. % 0.82/1.00 apply (zenon_L21_); trivial. % 0.82/1.00 apply (zenon_L25_); trivial. % 0.82/1.00 apply (zenon_L27_); trivial. % 0.82/1.00 (* end of lemma zenon_L28_ *) % 0.82/1.00 assert (zenon_L29_ : (~(hskp17)) -> (hskp17) -> False). % 0.82/1.00 do 0 intro. intros zenon_H7e zenon_H7f. % 0.82/1.00 exact (zenon_H7e zenon_H7f). % 0.82/1.00 (* end of lemma zenon_L29_ *) % 0.82/1.00 assert (zenon_L30_ : ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c3_1 (a1338)) -> (c2_1 (a1338)) -> (c1_1 (a1338)) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H80 zenon_H68 zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_H7e. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ]. % 0.82/1.00 generalize (zenon_H82 (a1338)). zenon_intro zenon_H83. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H83); [ zenon_intro zenon_H11 | zenon_intro zenon_H84 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H86 | zenon_intro zenon_H85 ]. % 0.82/1.00 generalize (zenon_H68 (a1338)). zenon_intro zenon_H87. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H87); [ zenon_intro zenon_H11 | zenon_intro zenon_H88 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H89 | zenon_intro zenon_H85 ]. % 0.82/1.00 exact (zenon_H86 zenon_H89). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1a | zenon_intro zenon_H1c ]. % 0.82/1.00 exact (zenon_H1a zenon_H14). % 0.82/1.00 exact (zenon_H1c zenon_H15). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1a | zenon_intro zenon_H1c ]. % 0.82/1.00 exact (zenon_H1a zenon_H14). % 0.82/1.00 exact (zenon_H1c zenon_H15). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H13 | zenon_intro zenon_H7f ]. % 0.82/1.00 apply (zenon_L10_); trivial. % 0.82/1.00 exact (zenon_H7e zenon_H7f). % 0.82/1.00 (* end of lemma zenon_L30_ *) % 0.82/1.00 assert (zenon_L31_ : (~(hskp16)) -> (hskp16) -> False). % 0.82/1.01 do 0 intro. intros zenon_H8a zenon_H8b. % 0.82/1.01 exact (zenon_H8a zenon_H8b). % 0.82/1.01 (* end of lemma zenon_L31_ *) % 0.82/1.01 assert (zenon_L32_ : ((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp16)) -> (~(hskp17)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H21 zenon_H8c zenon_H80 zenon_H8a zenon_H7e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H68 | zenon_intro zenon_H8d ]. % 0.82/1.01 apply (zenon_L30_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H8b | zenon_intro zenon_H7f ]. % 0.82/1.01 exact (zenon_H8a zenon_H8b). % 0.82/1.01 exact (zenon_H7e zenon_H7f). % 0.82/1.01 (* end of lemma zenon_L32_ *) % 0.82/1.01 assert (zenon_L33_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp26)) -> (~(hskp20)) -> ((hskp26)\/((hskp29)\/(hskp20))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H26 zenon_H8c zenon_H8a zenon_H7e zenon_H80 zenon_H9 zenon_Hd zenon_Hf. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.82/1.01 apply (zenon_L8_); trivial. % 0.82/1.01 apply (zenon_L32_); trivial. % 0.82/1.01 (* end of lemma zenon_L33_ *) % 0.82/1.01 assert (zenon_L34_ : ((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> (~(hskp17)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H72 zenon_H8c zenon_H8a zenon_H7e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H68 | zenon_intro zenon_H8d ]. % 0.82/1.01 apply (zenon_L26_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H8b | zenon_intro zenon_H7f ]. % 0.82/1.01 exact (zenon_H8a zenon_H8b). % 0.82/1.01 exact (zenon_H7e zenon_H7f). % 0.82/1.01 (* end of lemma zenon_L34_ *) % 0.82/1.01 assert (zenon_L35_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp9)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H77 zenon_H26 zenon_H8c zenon_H8a zenon_H7e zenon_H80 zenon_Hf zenon_H28 zenon_H29 zenon_H2a zenon_H3b zenon_H3e zenon_H78. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.82/1.01 apply (zenon_L33_); trivial. % 0.82/1.01 apply (zenon_L18_); trivial. % 0.82/1.01 apply (zenon_L34_); trivial. % 0.82/1.01 (* end of lemma zenon_L35_ *) % 0.82/1.01 assert (zenon_L36_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a1334))) -> (c2_1 (a1334)) -> (c3_1 (a1334)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H8e zenon_H12 zenon_H8f zenon_H90 zenon_H91. % 0.82/1.01 generalize (zenon_H8e (a1334)). zenon_intro zenon_H92. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H92); [ zenon_intro zenon_H11 | zenon_intro zenon_H93 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H95 | zenon_intro zenon_H94 ]. % 0.82/1.01 exact (zenon_H8f zenon_H95). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 0.82/1.01 exact (zenon_H97 zenon_H90). % 0.82/1.01 exact (zenon_H96 zenon_H91). % 0.82/1.01 (* end of lemma zenon_L36_ *) % 0.82/1.01 assert (zenon_L37_ : (~(hskp8)) -> (hskp8) -> False). % 0.82/1.01 do 0 intro. intros zenon_H98 zenon_H99. % 0.82/1.01 exact (zenon_H98 zenon_H99). % 0.82/1.01 (* end of lemma zenon_L37_ *) % 0.82/1.01 assert (zenon_L38_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(hskp8)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H9a zenon_H9b zenon_H2a zenon_H29 zenon_H28 zenon_H98. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.82/1.01 apply (zenon_L15_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.82/1.01 apply (zenon_L36_); trivial. % 0.82/1.01 exact (zenon_H98 zenon_H99). % 0.82/1.01 (* end of lemma zenon_L38_ *) % 0.82/1.01 assert (zenon_L39_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H9f zenon_H9b zenon_H98 zenon_H78 zenon_H3e zenon_H3b zenon_H2a zenon_H29 zenon_H28 zenon_Hf zenon_H80 zenon_H8a zenon_H8c zenon_H26 zenon_H77. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.01 apply (zenon_L35_); trivial. % 0.82/1.01 apply (zenon_L38_); trivial. % 0.82/1.01 (* end of lemma zenon_L39_ *) % 0.82/1.01 assert (zenon_L40_ : (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Ha0 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.82/1.01 generalize (zenon_Ha0 (a1324)). zenon_intro zenon_Ha4. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_Ha4); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha5 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha6 ]. % 0.82/1.01 exact (zenon_Ha1 zenon_Ha7). % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Ha8 ]. % 0.82/1.01 exact (zenon_Ha9 zenon_Ha2). % 0.82/1.01 exact (zenon_Ha8 zenon_Ha3). % 0.82/1.01 (* end of lemma zenon_L40_ *) % 0.82/1.01 assert (zenon_L41_ : (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))) -> (ndr1_0) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Haa zenon_H12 zenon_Hab zenon_Hac zenon_Had. % 0.82/1.01 generalize (zenon_Haa (a1333)). zenon_intro zenon_Hae. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_Hae); [ zenon_intro zenon_H11 | zenon_intro zenon_Haf ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb0 ]. % 0.82/1.01 exact (zenon_Hab zenon_Hb1). % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb2 ]. % 0.82/1.01 exact (zenon_Hac zenon_Hb3). % 0.82/1.01 exact (zenon_Hb2 zenon_Had). % 0.82/1.01 (* end of lemma zenon_L41_ *) % 0.82/1.01 assert (zenon_L42_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hb4 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_Had zenon_Hac zenon_Hab zenon_H12 zenon_Hd. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Hb5 ]. % 0.82/1.01 apply (zenon_L40_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Haa | zenon_intro zenon_He ]. % 0.82/1.01 apply (zenon_L41_); trivial. % 0.82/1.01 exact (zenon_Hd zenon_He). % 0.82/1.01 (* end of lemma zenon_L42_ *) % 0.82/1.01 assert (zenon_L43_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hb6 zenon_H77 zenon_H73 zenon_H5e zenon_H2a zenon_H29 zenon_H28 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hb4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.01 apply (zenon_L42_); trivial. % 0.82/1.01 apply (zenon_L27_); trivial. % 0.82/1.01 (* end of lemma zenon_L43_ *) % 0.82/1.01 assert (zenon_L44_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp9)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hb9 zenon_Hba zenon_Hb4 zenon_H8c zenon_H80 zenon_H98 zenon_H9b zenon_H9f zenon_H7a zenon_H79 zenon_H63 zenon_H5e zenon_H60 zenon_H4e zenon_H26 zenon_H22 zenon_Hf zenon_H28 zenon_H29 zenon_H2a zenon_H3b zenon_H3e zenon_H78 zenon_H73 zenon_H77. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.82/1.01 apply (zenon_L28_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.01 apply (zenon_L39_); trivial. % 0.82/1.01 apply (zenon_L43_); trivial. % 0.82/1.01 (* end of lemma zenon_L44_ *) % 0.82/1.01 assert (zenon_L45_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hbe zenon_H12 zenon_Hbf zenon_Hc0 zenon_Hc1. % 0.82/1.01 generalize (zenon_Hbe (a1320)). zenon_intro zenon_Hc2. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_Hc2); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc3 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ]. % 0.82/1.01 exact (zenon_Hbf zenon_Hc5). % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc6 ]. % 0.82/1.01 exact (zenon_Hc0 zenon_Hc7). % 0.82/1.01 exact (zenon_Hc6 zenon_Hc1). % 0.82/1.01 (* end of lemma zenon_L45_ *) % 0.82/1.01 assert (zenon_L46_ : (~(hskp5)) -> (hskp5) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hc8 zenon_Hc9. % 0.82/1.01 exact (zenon_Hc8 zenon_Hc9). % 0.82/1.01 (* end of lemma zenon_L46_ *) % 0.82/1.01 assert (zenon_L47_ : ((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hca zenon_Hcb zenon_Hc8 zenon_H5e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hce ]. % 0.82/1.01 apply (zenon_L45_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H5f ]. % 0.82/1.01 exact (zenon_Hc8 zenon_Hc9). % 0.82/1.01 exact (zenon_H5e zenon_H5f). % 0.82/1.01 (* end of lemma zenon_L47_ *) % 0.82/1.01 assert (zenon_L48_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hcf zenon_Hcb zenon_Hc8 zenon_H77 zenon_H73 zenon_H78 zenon_H3e zenon_H2a zenon_H29 zenon_H28 zenon_Hf zenon_H22 zenon_H26 zenon_H4e zenon_H60 zenon_H5e zenon_H63 zenon_H79 zenon_H7a zenon_H9f zenon_H9b zenon_H98 zenon_H80 zenon_H8c zenon_Hb4 zenon_Hba zenon_Hb9. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.82/1.01 apply (zenon_L44_); trivial. % 0.82/1.01 apply (zenon_L47_); trivial. % 0.82/1.01 (* end of lemma zenon_L48_ *) % 0.82/1.01 assert (zenon_L49_ : (~(hskp10)) -> (hskp10) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hd0 zenon_Hd1. % 0.82/1.01 exact (zenon_Hd0 zenon_Hd1). % 0.82/1.01 (* end of lemma zenon_L49_ *) % 0.82/1.01 assert (zenon_L50_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp6)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hd2 zenon_H2a zenon_H29 zenon_H28 zenon_H12 zenon_Hd0 zenon_H5e. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H27 | zenon_intro zenon_Hd3 ]. % 0.82/1.01 apply (zenon_L15_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H5f ]. % 0.82/1.01 exact (zenon_Hd0 zenon_Hd1). % 0.82/1.01 exact (zenon_H5e zenon_H5f). % 0.82/1.01 (* end of lemma zenon_L50_ *) % 0.82/1.01 assert (zenon_L51_ : (~(hskp12)) -> (hskp12) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hd4 zenon_Hd5. % 0.82/1.01 exact (zenon_Hd4 zenon_Hd5). % 0.82/1.01 (* end of lemma zenon_L51_ *) % 0.82/1.01 assert (zenon_L52_ : ((hskp26)\/(hskp12)) -> (~(hskp12)) -> (~(hskp26)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hd6 zenon_Hd4 zenon_H9. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha | zenon_intro zenon_Hd5 ]. % 0.82/1.01 exact (zenon_H9 zenon_Ha). % 0.82/1.01 exact (zenon_Hd4 zenon_Hd5). % 0.82/1.01 (* end of lemma zenon_L52_ *) % 0.82/1.01 assert (zenon_L53_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H78 zenon_H3e zenon_H3b zenon_H2a zenon_H29 zenon_H28 zenon_Hd4 zenon_Hd6. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.82/1.01 apply (zenon_L52_); trivial. % 0.82/1.01 apply (zenon_L18_); trivial. % 0.82/1.01 (* end of lemma zenon_L53_ *) % 0.82/1.01 assert (zenon_L54_ : (~(hskp18)) -> (hskp18) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hd7 zenon_Hd8. % 0.82/1.01 exact (zenon_Hd7 zenon_Hd8). % 0.82/1.01 (* end of lemma zenon_L54_ *) % 0.82/1.01 assert (zenon_L55_ : ((hskp20)\/(hskp18)) -> (~(hskp18)) -> (~(hskp20)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hd9 zenon_Hd7 zenon_Hd. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_He | zenon_intro zenon_Hd8 ]. % 0.82/1.01 exact (zenon_Hd zenon_He). % 0.82/1.01 exact (zenon_Hd7 zenon_Hd8). % 0.82/1.01 (* end of lemma zenon_L55_ *) % 0.82/1.01 assert (zenon_L56_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(hskp18)) -> ((hskp20)\/(hskp18)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H77 zenon_H73 zenon_H5e zenon_H2a zenon_H29 zenon_H28 zenon_Hd7 zenon_Hd9. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.01 apply (zenon_L55_); trivial. % 0.82/1.01 apply (zenon_L27_); trivial. % 0.82/1.01 (* end of lemma zenon_L56_ *) % 0.82/1.01 assert (zenon_L57_ : (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (c3_1 (a1339)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hda zenon_H12 zenon_Hdb zenon_Hdc zenon_Hdd. % 0.82/1.01 generalize (zenon_Hda (a1339)). zenon_intro zenon_Hde. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_Hde); [ zenon_intro zenon_H11 | zenon_intro zenon_Hdf ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_He1 | zenon_intro zenon_He0 ]. % 0.82/1.01 exact (zenon_Hdb zenon_He1). % 0.82/1.01 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 0.82/1.01 exact (zenon_Hdc zenon_He3). % 0.82/1.01 exact (zenon_He2 zenon_Hdd). % 0.82/1.01 (* end of lemma zenon_L57_ *) % 0.82/1.01 assert (zenon_L58_ : (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))) -> (ndr1_0) -> (~(c2_1 (a1339))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1339))) -> (c1_1 (a1339)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Haa zenon_H12 zenon_Hdc zenon_Hda zenon_Hdb zenon_He4. % 0.82/1.01 generalize (zenon_Haa (a1339)). zenon_intro zenon_He5. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_He5); [ zenon_intro zenon_H11 | zenon_intro zenon_He6 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 0.82/1.01 exact (zenon_Hdc zenon_He3). % 0.82/1.01 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hdd | zenon_intro zenon_He8 ]. % 0.82/1.01 apply (zenon_L57_); trivial. % 0.82/1.01 exact (zenon_He8 zenon_He4). % 0.82/1.01 (* end of lemma zenon_L58_ *) % 0.82/1.01 assert (zenon_L59_ : (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> False). % 0.82/1.01 do 0 intro. intros zenon_He9 zenon_H12 zenon_Hea zenon_Heb zenon_Hec. % 0.82/1.01 generalize (zenon_He9 (a1325)). zenon_intro zenon_Hed. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_Hed); [ zenon_intro zenon_H11 | zenon_intro zenon_Hee ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hef ]. % 0.82/1.01 exact (zenon_Hea zenon_Hf0). % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf1 ]. % 0.82/1.01 exact (zenon_Hf2 zenon_Heb). % 0.82/1.01 exact (zenon_Hf1 zenon_Hec). % 0.82/1.01 (* end of lemma zenon_L59_ *) % 0.82/1.01 assert (zenon_L60_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c1_1 (a1339)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hf3 zenon_He4 zenon_Hdb zenon_Hdc zenon_Haa zenon_Hec zenon_Heb zenon_Hea zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.82/1.01 apply (zenon_L58_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.82/1.01 apply (zenon_L59_); trivial. % 0.82/1.01 apply (zenon_L40_); trivial. % 0.82/1.01 (* end of lemma zenon_L60_ *) % 0.82/1.01 assert (zenon_L61_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (ndr1_0) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> (~(c2_1 (a1339))) -> (~(c0_1 (a1339))) -> (c1_1 (a1339)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp20)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hb4 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H12 zenon_Hea zenon_Heb zenon_Hec zenon_Hdc zenon_Hdb zenon_He4 zenon_Hf3 zenon_Hd. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Hb5 ]. % 0.82/1.01 apply (zenon_L40_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Haa | zenon_intro zenon_He ]. % 0.82/1.01 apply (zenon_L60_); trivial. % 0.82/1.01 exact (zenon_Hd zenon_He). % 0.82/1.01 (* end of lemma zenon_L61_ *) % 0.82/1.01 assert (zenon_L62_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hf5 zenon_H12 zenon_Hf6 zenon_Hf7 zenon_Hf8. % 0.82/1.01 generalize (zenon_Hf5 (a1321)). zenon_intro zenon_Hf9. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_Hf9); [ zenon_intro zenon_H11 | zenon_intro zenon_Hfa ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 0.82/1.01 exact (zenon_Hf6 zenon_Hfc). % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfe | zenon_intro zenon_Hfd ]. % 0.82/1.01 exact (zenon_Hfe zenon_Hf7). % 0.82/1.01 exact (zenon_Hfd zenon_Hf8). % 0.82/1.01 (* end of lemma zenon_L62_ *) % 0.82/1.01 assert (zenon_L63_ : (~(hskp28)) -> (hskp28) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hff zenon_H100. % 0.82/1.01 exact (zenon_Hff zenon_H100). % 0.82/1.01 (* end of lemma zenon_L63_ *) % 0.82/1.01 assert (zenon_L64_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c2_1 (a1348)) -> (c1_1 (a1348)) -> (~(c0_1 (a1348))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H101 zenon_H6b zenon_H6a zenon_H69 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H12 zenon_Hff. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H68 | zenon_intro zenon_H102 ]. % 0.82/1.01 apply (zenon_L26_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H100 ]. % 0.82/1.01 apply (zenon_L62_); trivial. % 0.82/1.01 exact (zenon_Hff zenon_H100). % 0.82/1.01 (* end of lemma zenon_L64_ *) % 0.82/1.01 assert (zenon_L65_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H52 zenon_H12 zenon_H103 zenon_H104 zenon_H105. % 0.82/1.01 generalize (zenon_H52 (a1319)). zenon_intro zenon_H106. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H106); [ zenon_intro zenon_H11 | zenon_intro zenon_H107 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H109 | zenon_intro zenon_H108 ]. % 0.82/1.01 exact (zenon_H103 zenon_H109). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.82/1.01 exact (zenon_H104 zenon_H10b). % 0.82/1.01 exact (zenon_H10a zenon_H105). % 0.82/1.01 (* end of lemma zenon_L65_ *) % 0.82/1.01 assert (zenon_L66_ : (forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (c0_1 (a1328)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H10c zenon_H12 zenon_H10d zenon_H10e zenon_H10f zenon_H110. % 0.82/1.01 generalize (zenon_H10c (a1328)). zenon_intro zenon_H111. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H111); [ zenon_intro zenon_H11 | zenon_intro zenon_H112 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H114 | zenon_intro zenon_H113 ]. % 0.82/1.01 exact (zenon_H114 zenon_H10d). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H116 | zenon_intro zenon_H115 ]. % 0.82/1.01 generalize (zenon_H10e (a1328)). zenon_intro zenon_H117. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H117); [ zenon_intro zenon_H11 | zenon_intro zenon_H118 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11a | zenon_intro zenon_H119 ]. % 0.82/1.01 exact (zenon_H116 zenon_H11a). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H114 | zenon_intro zenon_H11b ]. % 0.82/1.01 exact (zenon_H114 zenon_H10d). % 0.82/1.01 exact (zenon_H11b zenon_H10f). % 0.82/1.01 exact (zenon_H115 zenon_H110). % 0.82/1.01 (* end of lemma zenon_L66_ *) % 0.82/1.01 assert (zenon_L67_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (ndr1_0) -> (c0_1 (a1328)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H91 zenon_H90 zenon_H8f zenon_H12 zenon_H10d zenon_H10e zenon_H10f zenon_H110. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H52 | zenon_intro zenon_H11d ]. % 0.82/1.01 apply (zenon_L65_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H8e | zenon_intro zenon_H10c ]. % 0.82/1.01 apply (zenon_L36_); trivial. % 0.82/1.01 apply (zenon_L66_); trivial. % 0.82/1.01 (* end of lemma zenon_L67_ *) % 0.82/1.01 assert (zenon_L68_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H11e zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H91 zenon_H90 zenon_H8f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.82/1.01 apply (zenon_L65_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.82/1.01 apply (zenon_L36_); trivial. % 0.82/1.01 apply (zenon_L67_); trivial. % 0.82/1.01 (* end of lemma zenon_L68_ *) % 0.82/1.01 assert (zenon_L69_ : ((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H72 zenon_H123 zenon_H11f zenon_H11c zenon_H91 zenon_H90 zenon_H8f zenon_H105 zenon_H104 zenon_H103 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.01 apply (zenon_L64_); trivial. % 0.82/1.01 apply (zenon_L68_); trivial. % 0.82/1.01 (* end of lemma zenon_L69_ *) % 0.82/1.01 assert (zenon_L70_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H124 zenon_H77 zenon_H123 zenon_H11f zenon_H11c zenon_H91 zenon_H90 zenon_H8f zenon_H105 zenon_H104 zenon_H103 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_Hec zenon_Heb zenon_Hea zenon_Hb4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.01 apply (zenon_L61_); trivial. % 0.82/1.01 apply (zenon_L69_); trivial. % 0.82/1.01 (* end of lemma zenon_L70_ *) % 0.82/1.01 assert (zenon_L71_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> ((hskp26)\/(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp5)\/(hskp6))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H127 zenon_Hd2 zenon_Hd6 zenon_H128 zenon_H123 zenon_H11f zenon_H11c zenon_H101 zenon_Hf3 zenon_Hd9 zenon_H129 zenon_H12a zenon_Hb9 zenon_Hba zenon_Hb4 zenon_H8c zenon_H80 zenon_H9b zenon_H9f zenon_H7a zenon_H79 zenon_H63 zenon_H5e zenon_H60 zenon_H4e zenon_H26 zenon_H22 zenon_Hf zenon_H28 zenon_H29 zenon_H2a zenon_H3e zenon_H78 zenon_H73 zenon_H77 zenon_Hc8 zenon_Hcb zenon_Hcf. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.82/1.01 apply (zenon_L48_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.82/1.01 apply (zenon_L50_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.82/1.01 apply (zenon_L28_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.82/1.01 apply (zenon_L53_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.01 apply (zenon_L35_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.01 apply (zenon_L56_); trivial. % 0.82/1.01 apply (zenon_L70_); trivial. % 0.82/1.01 apply (zenon_L43_); trivial. % 0.82/1.01 apply (zenon_L47_); trivial. % 0.82/1.01 (* end of lemma zenon_L71_ *) % 0.82/1.01 assert (zenon_L72_ : ((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp17)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H3d zenon_H134 zenon_H3 zenon_H7e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H31 | zenon_intro zenon_H135 ]. % 0.82/1.01 apply (zenon_L16_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H4 | zenon_intro zenon_H7f ]. % 0.82/1.01 exact (zenon_H3 zenon_H4). % 0.82/1.01 exact (zenon_H7e zenon_H7f). % 0.82/1.01 (* end of lemma zenon_L72_ *) % 0.82/1.01 assert (zenon_L73_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp17)) -> (~(hskp4)) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H78 zenon_H134 zenon_H7e zenon_H3 zenon_Hd4 zenon_Hd6. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.82/1.01 apply (zenon_L52_); trivial. % 0.82/1.01 apply (zenon_L72_); trivial. % 0.82/1.01 (* end of lemma zenon_L73_ *) % 0.82/1.01 assert (zenon_L74_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H9f zenon_H9b zenon_H98 zenon_H2a zenon_H29 zenon_H28 zenon_Hd6 zenon_Hd4 zenon_H3 zenon_H134 zenon_H78. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.01 apply (zenon_L73_); trivial. % 0.82/1.01 apply (zenon_L38_); trivial. % 0.82/1.01 (* end of lemma zenon_L74_ *) % 0.82/1.01 assert (zenon_L75_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20)))))) -> (ndr1_0) -> (~(c0_1 (a1325))) -> (~(c2_1 (a1325))) -> (c1_1 (a1325)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H136 zenon_H12 zenon_Hea zenon_H137 zenon_Heb. % 0.82/1.01 generalize (zenon_H136 (a1325)). zenon_intro zenon_H138. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H138); [ zenon_intro zenon_H11 | zenon_intro zenon_H139 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H13a ]. % 0.82/1.01 exact (zenon_Hea zenon_Hf0). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H13b | zenon_intro zenon_Hf2 ]. % 0.82/1.01 exact (zenon_H137 zenon_H13b). % 0.82/1.01 exact (zenon_Hf2 zenon_Heb). % 0.82/1.01 (* end of lemma zenon_L75_ *) % 0.82/1.01 assert (zenon_L76_ : (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(c0_1 (a1315))) -> (~(c2_1 (a1315))) -> (c3_1 (a1315)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hda zenon_H12 zenon_H13c zenon_H13d zenon_H13e. % 0.82/1.01 generalize (zenon_Hda (a1315)). zenon_intro zenon_H13f. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H13f); [ zenon_intro zenon_H11 | zenon_intro zenon_H140 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 0.82/1.01 exact (zenon_H13c zenon_H142). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 0.82/1.01 exact (zenon_H13d zenon_H144). % 0.82/1.01 exact (zenon_H143 zenon_H13e). % 0.82/1.01 (* end of lemma zenon_L76_ *) % 0.82/1.01 assert (zenon_L77_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a1315))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (c3_1 (a1315)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H8e zenon_H12 zenon_H13c zenon_Hda zenon_H13e. % 0.82/1.01 generalize (zenon_H8e (a1315)). zenon_intro zenon_H145. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H145); [ zenon_intro zenon_H11 | zenon_intro zenon_H146 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H142 | zenon_intro zenon_H147 ]. % 0.82/1.01 exact (zenon_H13c zenon_H142). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13d | zenon_intro zenon_H143 ]. % 0.82/1.01 apply (zenon_L76_); trivial. % 0.82/1.01 exact (zenon_H143 zenon_H13e). % 0.82/1.01 (* end of lemma zenon_L77_ *) % 0.82/1.01 assert (zenon_L78_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp8)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hb6 zenon_H9b zenon_H2a zenon_H29 zenon_H28 zenon_H13c zenon_H13e zenon_Hea zenon_Heb zenon_Hec zenon_H148 zenon_H98. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.82/1.01 apply (zenon_L15_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.01 generalize (zenon_H8e (a1325)). zenon_intro zenon_H14a. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H14a); [ zenon_intro zenon_H11 | zenon_intro zenon_H14b ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H14c ]. % 0.82/1.01 exact (zenon_Hea zenon_Hf0). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H137 | zenon_intro zenon_Hf1 ]. % 0.82/1.01 apply (zenon_L75_); trivial. % 0.82/1.01 exact (zenon_Hf1 zenon_Hec). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.01 apply (zenon_L77_); trivial. % 0.82/1.01 apply (zenon_L41_); trivial. % 0.82/1.01 exact (zenon_H98 zenon_H99). % 0.82/1.01 (* end of lemma zenon_L78_ *) % 0.82/1.01 assert (zenon_L79_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp9)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H131 zenon_Hba zenon_H13c zenon_H13e zenon_H148 zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H28 zenon_H29 zenon_H2a zenon_H3b zenon_H3e zenon_H78 zenon_H98 zenon_H9b zenon_H9f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.01 apply (zenon_L39_); trivial. % 0.82/1.01 apply (zenon_L78_); trivial. % 0.82/1.01 (* end of lemma zenon_L79_ *) % 0.82/1.01 assert (zenon_L80_ : (~(hskp2)) -> (hskp2) -> False). % 0.82/1.01 do 0 intro. intros zenon_H14d zenon_H14e. % 0.82/1.01 exact (zenon_H14d zenon_H14e). % 0.82/1.01 (* end of lemma zenon_L80_ *) % 0.82/1.01 assert (zenon_L81_ : ((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp4)\/(hskp2))) -> (~(hskp4)) -> (~(hskp2)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hca zenon_H14f zenon_H3 zenon_H14d. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hbe | zenon_intro zenon_H150 ]. % 0.82/1.01 apply (zenon_L45_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H4 | zenon_intro zenon_H14e ]. % 0.82/1.01 exact (zenon_H3 zenon_H4). % 0.82/1.01 exact (zenon_H14d zenon_H14e). % 0.82/1.01 (* end of lemma zenon_L81_ *) % 0.82/1.01 assert (zenon_L82_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(hskp4)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H131 zenon_H151 zenon_H105 zenon_H104 zenon_H103 zenon_H3. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H52 | zenon_intro zenon_H152 ]. % 0.82/1.01 apply (zenon_L65_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_He9 | zenon_intro zenon_H4 ]. % 0.82/1.01 apply (zenon_L59_); trivial. % 0.82/1.01 exact (zenon_H3 zenon_H4). % 0.82/1.01 (* end of lemma zenon_L82_ *) % 0.82/1.01 assert (zenon_L83_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((hskp26)\/(hskp12)) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp9)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H129 zenon_H151 zenon_H3 zenon_H105 zenon_H104 zenon_H103 zenon_Hd6 zenon_H28 zenon_H29 zenon_H2a zenon_H3b zenon_H3e zenon_H78. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.82/1.01 apply (zenon_L53_); trivial. % 0.82/1.01 apply (zenon_L82_); trivial. % 0.82/1.01 (* end of lemma zenon_L83_ *) % 0.82/1.01 assert (zenon_L84_ : ((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp4)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((hskp26)\/(hskp12)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H12b zenon_Hcf zenon_H14f zenon_H14d zenon_H78 zenon_H3e zenon_H2a zenon_H29 zenon_H28 zenon_Hd6 zenon_H3 zenon_H151 zenon_H129. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.82/1.01 apply (zenon_L83_); trivial. % 0.82/1.01 apply (zenon_L81_); trivial. % 0.82/1.01 (* end of lemma zenon_L84_ *) % 0.82/1.01 assert (zenon_L85_ : ((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((hskp26)\/(hskp12)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp4)\/(hskp2))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H153 zenon_H127 zenon_H151 zenon_H129 zenon_Hba zenon_H13c zenon_H13e zenon_H148 zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H3e zenon_H78 zenon_H134 zenon_H3 zenon_Hd6 zenon_H9b zenon_H9f zenon_H14d zenon_H14f zenon_Hcf. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.82/1.01 apply (zenon_L74_); trivial. % 0.82/1.01 apply (zenon_L79_); trivial. % 0.82/1.01 apply (zenon_L81_); trivial. % 0.82/1.01 apply (zenon_L84_); trivial. % 0.82/1.01 (* end of lemma zenon_L85_ *) % 0.82/1.01 assert (zenon_L86_ : ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((hskp26)\/(hskp12)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp4)\/(hskp2))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> (~(hskp3)) -> (~(hskp4)) -> ((hskp3)\/((hskp4)\/(hskp7))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H156 zenon_H127 zenon_H151 zenon_H129 zenon_Hba zenon_H13c zenon_H13e zenon_H148 zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H3e zenon_H78 zenon_H134 zenon_Hd6 zenon_H9b zenon_H9f zenon_H14d zenon_H14f zenon_Hcf zenon_H1 zenon_H3 zenon_H7. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.82/1.01 apply (zenon_L4_); trivial. % 0.82/1.01 apply (zenon_L85_); trivial. % 0.82/1.01 (* end of lemma zenon_L86_ *) % 0.82/1.01 assert (zenon_L87_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H157 zenon_H12 zenon_H158 zenon_H159 zenon_H15a. % 0.82/1.01 generalize (zenon_H157 (a1314)). zenon_intro zenon_H15b. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H15b); [ zenon_intro zenon_H11 | zenon_intro zenon_H15c ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15e | zenon_intro zenon_H15d ]. % 0.82/1.01 exact (zenon_H158 zenon_H15e). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H160 | zenon_intro zenon_H15f ]. % 0.82/1.01 exact (zenon_H159 zenon_H160). % 0.82/1.01 exact (zenon_H15f zenon_H15a). % 0.82/1.01 (* end of lemma zenon_L87_ *) % 0.82/1.01 assert (zenon_L88_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (ndr1_0) -> False). % 0.82/1.01 do 0 intro. intros zenon_H161 zenon_Hff zenon_H15a zenon_H159 zenon_H158 zenon_H12. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H157 | zenon_intro zenon_H100 ]. % 0.82/1.01 apply (zenon_L87_); trivial. % 0.82/1.01 exact (zenon_Hff zenon_H100). % 0.82/1.01 (* end of lemma zenon_L88_ *) % 0.82/1.01 assert (zenon_L89_ : (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74)))))) -> (ndr1_0) -> (~(c1_1 (a1328))) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H162 zenon_H12 zenon_H116 zenon_H10f zenon_H110. % 0.82/1.01 generalize (zenon_H162 (a1328)). zenon_intro zenon_H163. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H163); [ zenon_intro zenon_H11 | zenon_intro zenon_H164 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H11a | zenon_intro zenon_H165 ]. % 0.82/1.01 exact (zenon_H116 zenon_H11a). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H11b | zenon_intro zenon_H115 ]. % 0.82/1.01 exact (zenon_H11b zenon_H10f). % 0.82/1.01 exact (zenon_H115 zenon_H110). % 0.82/1.01 (* end of lemma zenon_L89_ *) % 0.82/1.01 assert (zenon_L90_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (c0_1 (a1328)) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74)))))) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H82 zenon_H12 zenon_H10d zenon_H162 zenon_H10f zenon_H110. % 0.82/1.01 generalize (zenon_H82 (a1328)). zenon_intro zenon_H166. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H166); [ zenon_intro zenon_H11 | zenon_intro zenon_H167 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H114 | zenon_intro zenon_H168 ]. % 0.82/1.01 exact (zenon_H114 zenon_H10d). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H116 | zenon_intro zenon_H11b ]. % 0.82/1.01 apply (zenon_L89_); trivial. % 0.82/1.01 exact (zenon_H11b zenon_H10f). % 0.82/1.01 (* end of lemma zenon_L90_ *) % 0.82/1.01 assert (zenon_L91_ : (~(hskp27)) -> (hskp27) -> False). % 0.82/1.01 do 0 intro. intros zenon_H169 zenon_H16a. % 0.82/1.01 exact (zenon_H169 zenon_H16a). % 0.82/1.01 (* end of lemma zenon_L91_ *) % 0.82/1.01 assert (zenon_L92_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(hskp27)) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp12)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H11e zenon_H16b zenon_H15a zenon_H159 zenon_H158 zenon_H169 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H16c zenon_Hd4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 0.82/1.01 apply (zenon_L87_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H82 | zenon_intro zenon_Hd5 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H162 | zenon_intro zenon_H16e ]. % 0.82/1.01 apply (zenon_L90_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H16a ]. % 0.82/1.01 apply (zenon_L62_); trivial. % 0.82/1.01 exact (zenon_H169 zenon_H16a). % 0.82/1.01 exact (zenon_Hd4 zenon_Hd5). % 0.82/1.01 (* end of lemma zenon_L92_ *) % 0.82/1.01 assert (zenon_L93_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (c0_1 (a1307)) -> (c1_1 (a1307)) -> (c2_1 (a1307)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H82 zenon_H12 zenon_H16f zenon_H170 zenon_H171. % 0.82/1.01 generalize (zenon_H82 (a1307)). zenon_intro zenon_H172. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H172); [ zenon_intro zenon_H11 | zenon_intro zenon_H173 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H175 | zenon_intro zenon_H174 ]. % 0.82/1.01 exact (zenon_H175 zenon_H16f). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H177 | zenon_intro zenon_H176 ]. % 0.82/1.01 exact (zenon_H177 zenon_H170). % 0.82/1.01 exact (zenon_H176 zenon_H171). % 0.82/1.01 (* end of lemma zenon_L93_ *) % 0.82/1.01 assert (zenon_L94_ : ((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(hskp12)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H178 zenon_H16b zenon_H15a zenon_H159 zenon_H158 zenon_Hd4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 0.82/1.01 apply (zenon_L87_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H82 | zenon_intro zenon_Hd5 ]. % 0.82/1.01 apply (zenon_L93_); trivial. % 0.82/1.01 exact (zenon_Hd4 zenon_Hd5). % 0.82/1.01 (* end of lemma zenon_L94_ *) % 0.82/1.01 assert (zenon_L95_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (ndr1_0) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H12 zenon_H16c zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_Hd4 zenon_H16b zenon_H123. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.01 apply (zenon_L88_); trivial. % 0.82/1.01 apply (zenon_L92_); trivial. % 0.82/1.01 apply (zenon_L94_); trivial. % 0.82/1.01 (* end of lemma zenon_L95_ *) % 0.82/1.01 assert (zenon_L96_ : (~(hskp13)) -> (hskp13) -> False). % 0.82/1.01 do 0 intro. intros zenon_H17c zenon_H17d. % 0.82/1.01 exact (zenon_H17c zenon_H17d). % 0.82/1.01 (* end of lemma zenon_L96_ *) % 0.82/1.01 assert (zenon_L97_ : ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> (c3_1 (a1328)) -> (c2_1 (a1328)) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74)))))) -> (c0_1 (a1328)) -> (ndr1_0) -> False). % 0.82/1.01 do 0 intro. intros zenon_H17e zenon_H17c zenon_H110 zenon_H10f zenon_H162 zenon_H10d zenon_H12. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H82 | zenon_intro zenon_H17d ]. % 0.82/1.01 apply (zenon_L90_); trivial. % 0.82/1.01 exact (zenon_H17c zenon_H17d). % 0.82/1.01 (* end of lemma zenon_L97_ *) % 0.82/1.01 assert (zenon_L98_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (~(hskp27)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H11e zenon_H16c zenon_H17c zenon_H17e zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H169. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H162 | zenon_intro zenon_H16e ]. % 0.82/1.01 apply (zenon_L97_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H16a ]. % 0.82/1.01 apply (zenon_L62_); trivial. % 0.82/1.01 exact (zenon_H169 zenon_H16a). % 0.82/1.01 (* end of lemma zenon_L98_ *) % 0.82/1.01 assert (zenon_L99_ : ((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H178 zenon_H17e zenon_H17c. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H82 | zenon_intro zenon_H17d ]. % 0.82/1.01 apply (zenon_L93_); trivial. % 0.82/1.01 exact (zenon_H17c zenon_H17d). % 0.82/1.01 (* end of lemma zenon_L99_ *) % 0.82/1.01 assert (zenon_L100_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H12 zenon_H17e zenon_H17c zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H16c zenon_H123. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.01 apply (zenon_L88_); trivial. % 0.82/1.01 apply (zenon_L98_); trivial. % 0.82/1.01 apply (zenon_L99_); trivial. % 0.82/1.01 (* end of lemma zenon_L100_ *) % 0.82/1.01 assert (zenon_L101_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (c1_1 (a1325)) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20)))))) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H13 zenon_H12 zenon_Heb zenon_H136 zenon_Hea zenon_Hec. % 0.82/1.01 generalize (zenon_H13 (a1325)). zenon_intro zenon_H17f. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H17f); [ zenon_intro zenon_H11 | zenon_intro zenon_H180 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H14c ]. % 0.82/1.01 exact (zenon_Hf2 zenon_Heb). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H137 | zenon_intro zenon_Hf1 ]. % 0.82/1.01 apply (zenon_L75_); trivial. % 0.82/1.01 exact (zenon_Hf1 zenon_Hec). % 0.82/1.01 (* end of lemma zenon_L101_ *) % 0.82/1.01 assert (zenon_L102_ : ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20)))))) -> (c1_1 (a1325)) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp11)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H22 zenon_Hec zenon_Hea zenon_H136 zenon_Heb zenon_H12 zenon_H1d zenon_H1f. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H13 | zenon_intro zenon_H25 ]. % 0.82/1.01 apply (zenon_L101_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H1e | zenon_intro zenon_H20 ]. % 0.82/1.01 exact (zenon_H1d zenon_H1e). % 0.82/1.01 exact (zenon_H1f zenon_H20). % 0.82/1.01 (* end of lemma zenon_L102_ *) % 0.82/1.01 assert (zenon_L103_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26))))) -> (ndr1_0) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H181 zenon_H12 zenon_H182 zenon_H183 zenon_H184. % 0.82/1.01 generalize (zenon_H181 (a1326)). zenon_intro zenon_H185. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H185); [ zenon_intro zenon_H11 | zenon_intro zenon_H186 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H188 | zenon_intro zenon_H187 ]. % 0.82/1.01 exact (zenon_H182 zenon_H188). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H18a | zenon_intro zenon_H189 ]. % 0.82/1.01 exact (zenon_H183 zenon_H18a). % 0.82/1.01 exact (zenon_H184 zenon_H189). % 0.82/1.01 (* end of lemma zenon_L103_ *) % 0.82/1.01 assert (zenon_L104_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp22)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H18b zenon_H1d zenon_Heb zenon_Hea zenon_Hec zenon_H22 zenon_H184 zenon_H183 zenon_H182 zenon_H12 zenon_H1f. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H136 | zenon_intro zenon_H18c ]. % 0.82/1.01 apply (zenon_L102_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H181 | zenon_intro zenon_H20 ]. % 0.82/1.01 apply (zenon_L103_); trivial. % 0.82/1.01 exact (zenon_H1f zenon_H20). % 0.82/1.01 (* end of lemma zenon_L104_ *) % 0.82/1.01 assert (zenon_L105_ : ((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H7b zenon_H18d zenon_H15a zenon_H159 zenon_H158 zenon_H184 zenon_H183 zenon_H182. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H12. zenon_intro zenon_H7c. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H44. zenon_intro zenon_H7d. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H45. zenon_intro zenon_H43. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H157 | zenon_intro zenon_H18e ]. % 0.82/1.01 apply (zenon_L87_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H181 | zenon_intro zenon_H42 ]. % 0.82/1.01 apply (zenon_L103_); trivial. % 0.82/1.01 apply (zenon_L19_); trivial. % 0.82/1.01 (* end of lemma zenon_L105_ *) % 0.82/1.01 assert (zenon_L106_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H18f zenon_H7a zenon_H18d zenon_H15a zenon_H159 zenon_H158 zenon_H22 zenon_H1f zenon_Hec zenon_Hea zenon_Heb zenon_H18b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.01 apply (zenon_L104_); trivial. % 0.82/1.01 apply (zenon_L105_); trivial. % 0.82/1.01 (* end of lemma zenon_L106_ *) % 0.82/1.01 assert (zenon_L107_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H129 zenon_H192 zenon_H7a zenon_H18d zenon_H22 zenon_H1f zenon_H18b zenon_H17e zenon_H123 zenon_H16b zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H16c zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H17b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.82/1.01 apply (zenon_L95_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.01 apply (zenon_L100_); trivial. % 0.82/1.01 apply (zenon_L106_); trivial. % 0.82/1.01 (* end of lemma zenon_L107_ *) % 0.82/1.01 assert (zenon_L108_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H77 zenon_H26 zenon_H8c zenon_H8a zenon_H7e zenon_H80 zenon_Hf zenon_H3 zenon_H134 zenon_H78. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.82/1.01 apply (zenon_L33_); trivial. % 0.82/1.01 apply (zenon_L72_); trivial. % 0.82/1.01 apply (zenon_L34_); trivial. % 0.82/1.01 (* end of lemma zenon_L108_ *) % 0.82/1.01 assert (zenon_L109_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H9f zenon_H9b zenon_H98 zenon_H2a zenon_H29 zenon_H28 zenon_H78 zenon_H134 zenon_H3 zenon_Hf zenon_H80 zenon_H8a zenon_H8c zenon_H26 zenon_H77. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.01 apply (zenon_L108_); trivial. % 0.82/1.01 apply (zenon_L38_); trivial. % 0.82/1.01 (* end of lemma zenon_L109_ *) % 0.82/1.01 assert (zenon_L110_ : (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (ndr1_0) -> (~(c3_1 (a1333))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11))))) -> (~(c2_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H42 zenon_H12 zenon_Hac zenon_H27 zenon_Hab zenon_Had. % 0.82/1.01 generalize (zenon_H42 (a1333)). zenon_intro zenon_H193. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H193); [ zenon_intro zenon_H11 | zenon_intro zenon_H194 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H195 ]. % 0.82/1.01 exact (zenon_Hac zenon_Hb3). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H196 | zenon_intro zenon_Hb2 ]. % 0.82/1.01 generalize (zenon_H27 (a1333)). zenon_intro zenon_H197. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H197); [ zenon_intro zenon_H11 | zenon_intro zenon_H198 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H19a | zenon_intro zenon_H199 ]. % 0.82/1.01 exact (zenon_H196 zenon_H19a). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb3 ]. % 0.82/1.01 exact (zenon_Hab zenon_Hb1). % 0.82/1.01 exact (zenon_Hac zenon_Hb3). % 0.82/1.01 exact (zenon_Hb2 zenon_Had). % 0.82/1.01 (* end of lemma zenon_L110_ *) % 0.82/1.01 assert (zenon_L111_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (ndr1_0) -> (~(c3_1 (a1333))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11))))) -> (~(c2_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H18d zenon_H15a zenon_H159 zenon_H158 zenon_H184 zenon_H183 zenon_H182 zenon_H12 zenon_Hac zenon_H27 zenon_Hab zenon_Had. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H157 | zenon_intro zenon_H18e ]. % 0.82/1.01 apply (zenon_L87_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H181 | zenon_intro zenon_H42 ]. % 0.82/1.01 apply (zenon_L103_); trivial. % 0.82/1.01 apply (zenon_L110_); trivial. % 0.82/1.01 (* end of lemma zenon_L111_ *) % 0.82/1.01 assert (zenon_L112_ : ((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c1_1 (a1333)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(hskp6)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H72 zenon_H73 zenon_Had zenon_Hab zenon_Hac zenon_H182 zenon_H183 zenon_H184 zenon_H158 zenon_H159 zenon_H15a zenon_H18d zenon_H5e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H27 | zenon_intro zenon_H76 ]. % 0.82/1.01 apply (zenon_L111_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H68 | zenon_intro zenon_H5f ]. % 0.82/1.01 apply (zenon_L26_); trivial. % 0.82/1.01 exact (zenon_H5e zenon_H5f). % 0.82/1.01 (* end of lemma zenon_L112_ *) % 0.82/1.01 assert (zenon_L113_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hb6 zenon_H77 zenon_H73 zenon_H5e zenon_H158 zenon_H159 zenon_H15a zenon_H182 zenon_H183 zenon_H184 zenon_H18d zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hb4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.01 apply (zenon_L42_); trivial. % 0.82/1.01 apply (zenon_L112_); trivial. % 0.82/1.01 (* end of lemma zenon_L113_ *) % 0.82/1.01 assert (zenon_L114_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> (ndr1_0) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H12a zenon_Hb9 zenon_Hba zenon_H73 zenon_Hb4 zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H3 zenon_H134 zenon_H78 zenon_H98 zenon_H9b zenon_H9f zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16c zenon_H16b zenon_H123 zenon_H17e zenon_H18b zenon_H22 zenon_H18d zenon_H7a zenon_H192 zenon_H129 zenon_H12 zenon_H28 zenon_H29 zenon_H2a zenon_H5e zenon_Hd2. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.82/1.01 apply (zenon_L50_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.82/1.01 apply (zenon_L107_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.01 apply (zenon_L100_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.01 apply (zenon_L109_); trivial. % 0.82/1.01 apply (zenon_L113_); trivial. % 0.82/1.01 (* end of lemma zenon_L114_ *) % 0.82/1.01 assert (zenon_L115_ : ((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp4)\/(hskp2))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((hskp26)\/(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H153 zenon_H127 zenon_Hcf zenon_H14f zenon_H14d zenon_H3e zenon_Hd6 zenon_H151 zenon_Hd2 zenon_H5e zenon_H129 zenon_H192 zenon_H7a zenon_H18d zenon_H22 zenon_H18b zenon_H17e zenon_H123 zenon_H16b zenon_H16c zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H17b zenon_H9f zenon_H9b zenon_H78 zenon_H134 zenon_H3 zenon_Hf zenon_H80 zenon_H8c zenon_H26 zenon_H77 zenon_Hb4 zenon_H73 zenon_Hba zenon_Hb9 zenon_H12a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.82/1.02 apply (zenon_L114_); trivial. % 0.82/1.02 apply (zenon_L84_); trivial. % 0.82/1.02 (* end of lemma zenon_L115_ *) % 0.82/1.02 assert (zenon_L116_ : ((ndr1_0)/\((c3_1 (a1315))/\((~(c0_1 (a1315)))/\(~(c1_1 (a1315)))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((hskp26)\/(hskp12)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp4)\/(hskp2))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> (~(hskp3)) -> (~(hskp4)) -> ((hskp3)\/((hskp4)\/(hskp7))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H19b zenon_H156 zenon_H127 zenon_H151 zenon_H129 zenon_Hba zenon_H148 zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H3e zenon_H78 zenon_H134 zenon_Hd6 zenon_H9b zenon_H9f zenon_H14d zenon_H14f zenon_Hcf zenon_H1 zenon_H3 zenon_H7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 0.82/1.02 apply (zenon_L86_); trivial. % 0.82/1.02 (* end of lemma zenon_L116_ *) % 0.82/1.02 assert (zenon_L117_ : ((~(hskp6))\/((ndr1_0)/\((c3_1 (a1315))/\((~(c0_1 (a1315)))/\(~(c1_1 (a1315))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((hskp3)\/((hskp4)\/(hskp7))) -> (~(hskp4)) -> (~(hskp3)) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((hskp26)\/(hskp12)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp4)\/(hskp2))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H19f zenon_H148 zenon_H7 zenon_H3 zenon_H1 zenon_H12a zenon_Hb9 zenon_Hba zenon_H73 zenon_Hb4 zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H134 zenon_H78 zenon_H9b zenon_H9f zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16c zenon_H16b zenon_H123 zenon_H17e zenon_H18b zenon_H22 zenon_H18d zenon_H7a zenon_H192 zenon_H129 zenon_Hd2 zenon_H151 zenon_Hd6 zenon_H3e zenon_H14d zenon_H14f zenon_Hcf zenon_H127 zenon_H156. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.82/1.02 apply (zenon_L4_); trivial. % 0.82/1.02 apply (zenon_L115_); trivial. % 0.82/1.02 apply (zenon_L116_); trivial. % 0.82/1.02 (* end of lemma zenon_L117_ *) % 0.82/1.02 assert (zenon_L118_ : (forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (ndr1_0) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (c2_1 (a1312)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H50 zenon_H12 zenon_H1a0 zenon_H1a1 zenon_H1a2. % 0.82/1.02 generalize (zenon_H50 (a1312)). zenon_intro zenon_H1a3. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1a3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1a4 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a5 ]. % 0.82/1.02 exact (zenon_H1a0 zenon_H1a6). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a7 ]. % 0.82/1.02 exact (zenon_H1a8 zenon_H1a1). % 0.82/1.02 exact (zenon_H1a7 zenon_H1a2). % 0.82/1.02 (* end of lemma zenon_L118_ *) % 0.82/1.02 assert (zenon_L119_ : ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54)))))) -> (~(hskp9)) -> (~(hskp6)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H60 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H1aa zenon_H3b zenon_H5e. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H50 | zenon_intro zenon_H61 ]. % 0.82/1.02 generalize (zenon_H1aa (a1312)). zenon_intro zenon_H1ab. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1ab); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ac ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1ad ]. % 0.82/1.02 exact (zenon_H1a9 zenon_H1ae). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a8 ]. % 0.82/1.02 apply (zenon_L118_); trivial. % 0.82/1.02 exact (zenon_H1a8 zenon_H1a1). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3c | zenon_intro zenon_H5f ]. % 0.82/1.02 exact (zenon_H3b zenon_H3c). % 0.82/1.02 exact (zenon_H5e zenon_H5f). % 0.82/1.02 (* end of lemma zenon_L119_ *) % 0.82/1.02 assert (zenon_L120_ : (forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33)))))) -> (ndr1_0) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1af zenon_H12 zenon_H1a9 zenon_H1a0 zenon_H1a1. % 0.82/1.02 generalize (zenon_H1af (a1312)). zenon_intro zenon_H1b0. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1b0); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b1 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1b2 ]. % 0.82/1.02 exact (zenon_H1a9 zenon_H1ae). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a8 ]. % 0.82/1.02 exact (zenon_H1a0 zenon_H1a6). % 0.82/1.02 exact (zenon_H1a8 zenon_H1a1). % 0.82/1.02 (* end of lemma zenon_L120_ *) % 0.82/1.02 assert (zenon_L121_ : (~(hskp15)) -> (hskp15) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1b3 zenon_H1b4. % 0.82/1.02 exact (zenon_H1b3 zenon_H1b4). % 0.82/1.02 (* end of lemma zenon_L121_ *) % 0.82/1.02 assert (zenon_L122_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (~(hskp6)) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1b5 zenon_H5e zenon_H3b zenon_H60 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H1b3. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_L119_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b4 ]. % 0.82/1.02 apply (zenon_L120_); trivial. % 0.82/1.02 exact (zenon_H1b3 zenon_H1b4). % 0.82/1.02 (* end of lemma zenon_L122_ *) % 0.82/1.02 assert (zenon_L123_ : (~(hskp30)) -> (hskp30) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1b7 zenon_H1b8. % 0.82/1.02 exact (zenon_H1b7 zenon_H1b8). % 0.82/1.02 (* end of lemma zenon_L123_ *) % 0.82/1.02 assert (zenon_L124_ : ((hskp30)\/((hskp2)\/(hskp9))) -> (~(hskp30)) -> (~(hskp2)) -> (~(hskp9)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1b9 zenon_H1b7 zenon_H14d zenon_H3b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1ba ]. % 0.82/1.02 exact (zenon_H1b7 zenon_H1b8). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H14e | zenon_intro zenon_H3c ]. % 0.82/1.02 exact (zenon_H14d zenon_H14e). % 0.82/1.02 exact (zenon_H3b zenon_H3c). % 0.82/1.02 (* end of lemma zenon_L124_ *) % 0.82/1.02 assert (zenon_L125_ : (forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))) -> (ndr1_0) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1bb zenon_H12 zenon_H1bc zenon_H1bd zenon_H1be. % 0.82/1.02 generalize (zenon_H1bb (a1331)). zenon_intro zenon_H1bf. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1bf); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c0 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1c1 ]. % 0.82/1.02 exact (zenon_H1bc zenon_H1c2). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c3 ]. % 0.82/1.02 exact (zenon_H1c4 zenon_H1bd). % 0.82/1.02 exact (zenon_H1c3 zenon_H1be). % 0.82/1.02 (* end of lemma zenon_L125_ *) % 0.82/1.02 assert (zenon_L126_ : (forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (c0_1 (a1372)) -> (c1_1 (a1372)) -> (c3_1 (a1372)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H10c zenon_H12 zenon_H1c5 zenon_H1c6 zenon_H1c7. % 0.82/1.02 generalize (zenon_H10c (a1372)). zenon_intro zenon_H1c8. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1c8); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c9 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1ca ]. % 0.82/1.02 exact (zenon_H1cb zenon_H1c5). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1cc ]. % 0.82/1.02 exact (zenon_H1cd zenon_H1c6). % 0.82/1.02 exact (zenon_H1cc zenon_H1c7). % 0.82/1.02 (* end of lemma zenon_L126_ *) % 0.82/1.02 assert (zenon_L127_ : ((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (~(hskp5)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1ce zenon_H1cf zenon_H1be zenon_H1bd zenon_H1bc zenon_Hc8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H12. zenon_intro zenon_H1d0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1c5. zenon_intro zenon_H1d1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1c6. zenon_intro zenon_H1c7. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1d2 ]. % 0.82/1.02 apply (zenon_L125_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc9 ]. % 0.82/1.02 apply (zenon_L126_); trivial. % 0.82/1.02 exact (zenon_Hc8 zenon_Hc9). % 0.82/1.02 (* end of lemma zenon_L127_ *) % 0.82/1.02 assert (zenon_L128_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp30)\/((hskp2)\/(hskp9))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d3 zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H14d zenon_H3b zenon_H1b9. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ce ]. % 0.82/1.02 apply (zenon_L124_); trivial. % 0.82/1.02 apply (zenon_L127_); trivial. % 0.82/1.02 (* end of lemma zenon_L128_ *) % 0.82/1.02 assert (zenon_L129_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp5)\/(hskp6))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp6)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> ((hskp30)\/((hskp2)\/(hskp9))) -> (~(hskp2)) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hcf zenon_Hcb zenon_H1b5 zenon_H12 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H5e zenon_H60 zenon_H1b9 zenon_H14d zenon_Hc8 zenon_H1cf zenon_H1d4 zenon_H1d7. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.02 apply (zenon_L122_); trivial. % 0.82/1.02 apply (zenon_L128_); trivial. % 0.82/1.02 apply (zenon_L47_); trivial. % 0.82/1.02 (* end of lemma zenon_L129_ *) % 0.82/1.02 assert (zenon_L130_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c2_1 (a1312)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d8 zenon_H12 zenon_H1a9 zenon_H1a0 zenon_H1a2. % 0.82/1.02 generalize (zenon_H1d8 (a1312)). zenon_intro zenon_H1d9. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1d9); [ zenon_intro zenon_H11 | zenon_intro zenon_H1da ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1db ]. % 0.82/1.02 exact (zenon_H1a9 zenon_H1ae). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a7 ]. % 0.82/1.02 exact (zenon_H1a0 zenon_H1a6). % 0.82/1.02 exact (zenon_H1a7 zenon_H1a2). % 0.82/1.02 (* end of lemma zenon_L130_ *) % 0.82/1.02 assert (zenon_L131_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54)))))) -> (ndr1_0) -> (~(c1_1 (a1312))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1aa zenon_H12 zenon_H1a9 zenon_H1d8 zenon_H1a0 zenon_H1a1. % 0.82/1.02 generalize (zenon_H1aa (a1312)). zenon_intro zenon_H1ab. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1ab); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ac ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1ad ]. % 0.82/1.02 exact (zenon_H1a9 zenon_H1ae). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a8 ]. % 0.82/1.02 apply (zenon_L130_); trivial. % 0.82/1.02 exact (zenon_H1a8 zenon_H1a1). % 0.82/1.02 (* end of lemma zenon_L131_ *) % 0.82/1.02 assert (zenon_L132_ : (~(hskp1)) -> (hskp1) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1dc zenon_H1dd. % 0.82/1.02 exact (zenon_H1dc zenon_H1dd). % 0.82/1.02 (* end of lemma zenon_L132_ *) % 0.82/1.02 assert (zenon_L133_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54)))))) -> (~(hskp10)) -> (~(hskp1)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1de zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H1aa zenon_Hd0 zenon_H1dc. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1df ]. % 0.82/1.02 apply (zenon_L131_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1dd ]. % 0.82/1.02 exact (zenon_Hd0 zenon_Hd1). % 0.82/1.02 exact (zenon_H1dc zenon_H1dd). % 0.82/1.02 (* end of lemma zenon_L133_ *) % 0.82/1.02 assert (zenon_L134_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp1)) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp8)) -> (~(hskp7)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1e0 zenon_H1dc zenon_Hd0 zenon_H12 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1de zenon_H98 zenon_H5. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1e1 ]. % 0.82/1.02 apply (zenon_L133_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H99 | zenon_intro zenon_H6 ]. % 0.82/1.02 exact (zenon_H98 zenon_H99). % 0.82/1.02 exact (zenon_H5 zenon_H6). % 0.82/1.02 (* end of lemma zenon_L134_ *) % 0.82/1.02 assert (zenon_L135_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> (c3_1 (a1315)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1e2 zenon_H12 zenon_H13c zenon_H19e zenon_H13e. % 0.82/1.02 generalize (zenon_H1e2 (a1315)). zenon_intro zenon_H1e3. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1e3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e4 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H142 | zenon_intro zenon_H1e5 ]. % 0.82/1.02 exact (zenon_H13c zenon_H142). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H143 ]. % 0.82/1.02 exact (zenon_H19e zenon_H1e6). % 0.82/1.02 exact (zenon_H143 zenon_H13e). % 0.82/1.02 (* end of lemma zenon_L135_ *) % 0.82/1.02 assert (zenon_L136_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> (c3_1 (a1315)) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1315))) -> (~(hskp15)) -> (ndr1_0) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(c2_1 (a1321))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (~(hskp7)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1e7 zenon_H13e zenon_H19e zenon_H13c zenon_H1b3 zenon_H12 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_Hf6 zenon_Hf8 zenon_Hf7 zenon_H1b5 zenon_H5. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e8 ]. % 0.82/1.02 apply (zenon_L135_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b6 ]. % 0.82/1.02 generalize (zenon_H1aa (a1321)). zenon_intro zenon_H1ea. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1ea); [ zenon_intro zenon_H11 | zenon_intro zenon_H1eb ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1ec ]. % 0.82/1.02 generalize (zenon_H1e9 (a1321)). zenon_intro zenon_H1ee. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1ee); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ef ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1f0 ]. % 0.82/1.02 exact (zenon_Hf6 zenon_Hfc). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1f1 | zenon_intro zenon_Hfd ]. % 0.82/1.02 exact (zenon_H1f1 zenon_H1ed). % 0.82/1.02 exact (zenon_Hfd zenon_Hf8). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfe ]. % 0.82/1.02 exact (zenon_Hf6 zenon_Hfc). % 0.82/1.02 exact (zenon_Hfe zenon_Hf7). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b4 ]. % 0.82/1.02 apply (zenon_L120_); trivial. % 0.82/1.02 exact (zenon_H1b3 zenon_H1b4). % 0.82/1.02 exact (zenon_H5 zenon_H6). % 0.82/1.02 (* end of lemma zenon_L136_ *) % 0.82/1.02 assert (zenon_L137_ : ((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp30)\/((hskp2)\/(hskp9))) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H12e zenon_H1d7 zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H14d zenon_H3b zenon_H1b9 zenon_H13c zenon_H19e zenon_H13e zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H5 zenon_H1e7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.02 apply (zenon_L136_); trivial. % 0.82/1.02 apply (zenon_L128_); trivial. % 0.82/1.02 (* end of lemma zenon_L137_ *) % 0.82/1.02 assert (zenon_L138_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp30)\/((hskp2)\/(hskp9))) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H12a zenon_H1d7 zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H14d zenon_H3b zenon_H1b9 zenon_H13c zenon_H19e zenon_H13e zenon_H1b5 zenon_H1e7 zenon_H1de zenon_H1dc zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H98 zenon_H5 zenon_H1e0. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.82/1.02 apply (zenon_L134_); trivial. % 0.82/1.02 apply (zenon_L137_); trivial. % 0.82/1.02 (* end of lemma zenon_L138_ *) % 0.82/1.02 assert (zenon_L139_ : ((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H72 zenon_H17b zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H17e zenon_H17c zenon_H16c zenon_H123. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.02 apply (zenon_L64_); trivial. % 0.82/1.02 apply (zenon_L98_); trivial. % 0.82/1.02 apply (zenon_L99_); trivial. % 0.82/1.02 (* end of lemma zenon_L139_ *) % 0.82/1.02 assert (zenon_L140_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20)))))) -> (ndr1_0) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (c1_1 (a1339)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H136 zenon_H12 zenon_Hdb zenon_Hdc zenon_He4. % 0.82/1.02 generalize (zenon_H136 (a1339)). zenon_intro zenon_H1f2. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1f2); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f3 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_He1 | zenon_intro zenon_H1f4 ]. % 0.82/1.02 exact (zenon_Hdb zenon_He1). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_He3 | zenon_intro zenon_He8 ]. % 0.82/1.02 exact (zenon_Hdc zenon_He3). % 0.82/1.02 exact (zenon_He8 zenon_He4). % 0.82/1.02 (* end of lemma zenon_L140_ *) % 0.82/1.02 assert (zenon_L141_ : (~(hskp14)) -> (hskp14) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1f5 zenon_H1f6. % 0.82/1.02 exact (zenon_H1f5 zenon_H1f6). % 0.82/1.02 (* end of lemma zenon_L141_ *) % 0.82/1.02 assert (zenon_L142_ : ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> (c1_1 (a1339)) -> (~(c0_1 (a1339))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c2_1 (a1339))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp16)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1f7 zenon_He4 zenon_Hdb zenon_Hda zenon_Hdc zenon_H12 zenon_H1f5 zenon_H8a. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Haa | zenon_intro zenon_H1f8 ]. % 0.82/1.02 apply (zenon_L58_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H8b ]. % 0.82/1.02 exact (zenon_H1f5 zenon_H1f6). % 0.82/1.02 exact (zenon_H8a zenon_H8b). % 0.82/1.02 (* end of lemma zenon_L142_ *) % 0.82/1.02 assert (zenon_L143_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c1_1 (a1339)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1f9 zenon_He4 zenon_Hdb zenon_Hdc zenon_Haa zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H17c. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fa ]. % 0.82/1.02 apply (zenon_L58_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1af | zenon_intro zenon_H17d ]. % 0.82/1.02 apply (zenon_L120_); trivial. % 0.82/1.02 exact (zenon_H17c zenon_H17d). % 0.82/1.02 (* end of lemma zenon_L143_ *) % 0.82/1.02 assert (zenon_L144_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp16)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp13)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H124 zenon_H148 zenon_H8a zenon_H1f5 zenon_H1f7 zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H17c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.02 apply (zenon_L140_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.02 apply (zenon_L142_); trivial. % 0.82/1.02 apply (zenon_L143_); trivial. % 0.82/1.02 (* end of lemma zenon_L144_ *) % 0.82/1.02 assert (zenon_L145_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hb6 zenon_H1fb zenon_H1f5 zenon_H17c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Haa | zenon_intro zenon_H1fc ]. % 0.82/1.02 apply (zenon_L41_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H17d ]. % 0.82/1.02 exact (zenon_H1f5 zenon_H1f6). % 0.82/1.02 exact (zenon_H17c zenon_H17d). % 0.82/1.02 (* end of lemma zenon_L145_ *) % 0.82/1.02 assert (zenon_L146_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hba zenon_H1fb zenon_H77 zenon_H17b zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H17e zenon_H17c zenon_H16c zenon_H123 zenon_Hd9 zenon_H1f7 zenon_H1f5 zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H148 zenon_H128. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.02 apply (zenon_L55_); trivial. % 0.82/1.02 apply (zenon_L139_); trivial. % 0.82/1.02 apply (zenon_L144_); trivial. % 0.82/1.02 apply (zenon_L145_); trivial. % 0.82/1.02 (* end of lemma zenon_L146_ *) % 0.82/1.02 assert (zenon_L147_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54)))))) -> (ndr1_0) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1aa zenon_H12 zenon_H1fd zenon_H1fe zenon_H1ff. % 0.82/1.02 generalize (zenon_H1aa (a1330)). zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H200); [ zenon_intro zenon_H11 | zenon_intro zenon_H201 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H203 | zenon_intro zenon_H202 ]. % 0.82/1.02 exact (zenon_H1fd zenon_H203). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H205 | zenon_intro zenon_H204 ]. % 0.82/1.02 exact (zenon_H1fe zenon_H205). % 0.82/1.02 exact (zenon_H204 zenon_H1ff). % 0.82/1.02 (* end of lemma zenon_L147_ *) % 0.82/1.02 assert (zenon_L148_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp8)) -> (~(hskp7)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H206 zenon_H1e0 zenon_H98 zenon_H5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1e1 ]. % 0.82/1.02 apply (zenon_L147_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H99 | zenon_intro zenon_H6 ]. % 0.82/1.02 exact (zenon_H98 zenon_H99). % 0.82/1.02 exact (zenon_H5 zenon_H6). % 0.82/1.02 (* end of lemma zenon_L148_ *) % 0.82/1.02 assert (zenon_L149_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> ((hskp20)\/(hskp18)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H209 zenon_H1e0 zenon_H5 zenon_H98 zenon_H128 zenon_H148 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9 zenon_H1f7 zenon_Hd9 zenon_H123 zenon_H16c zenon_H17c zenon_H17e zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_H17b zenon_H77 zenon_H1fb zenon_Hba. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.02 apply (zenon_L146_); trivial. % 0.82/1.02 apply (zenon_L148_); trivial. % 0.82/1.02 (* end of lemma zenon_L149_ *) % 0.82/1.02 assert (zenon_L150_ : (~(hskp25)) -> (hskp25) -> False). % 0.82/1.02 do 0 intro. intros zenon_H20a zenon_H20b. % 0.82/1.02 exact (zenon_H20a zenon_H20b). % 0.82/1.02 (* end of lemma zenon_L150_ *) % 0.82/1.02 assert (zenon_L151_ : ((hskp28)\/((hskp25)\/(hskp14))) -> (~(hskp28)) -> (~(hskp25)) -> (~(hskp14)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H20c zenon_Hff zenon_H20a zenon_H1f5. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H100 | zenon_intro zenon_H20d ]. % 0.82/1.02 exact (zenon_Hff zenon_H100). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20b | zenon_intro zenon_H1f6 ]. % 0.82/1.02 exact (zenon_H20a zenon_H20b). % 0.82/1.02 exact (zenon_H1f5 zenon_H1f6). % 0.82/1.02 (* end of lemma zenon_L151_ *) % 0.82/1.02 assert (zenon_L152_ : ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c3_1 (a1321)) -> (~(c2_1 (a1321))) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (c0_1 (a1321)) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1cf zenon_H1be zenon_H1bd zenon_H1bc zenon_Hf8 zenon_Hf6 zenon_H20e zenon_Hf7 zenon_H12 zenon_Hc8. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1d2 ]. % 0.82/1.02 apply (zenon_L125_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc9 ]. % 0.82/1.02 generalize (zenon_H10c (a1321)). zenon_intro zenon_H20f. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H20f); [ zenon_intro zenon_H11 | zenon_intro zenon_H210 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1f0 ]. % 0.82/1.02 exact (zenon_Hfe zenon_Hf7). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1f1 | zenon_intro zenon_Hfd ]. % 0.82/1.02 generalize (zenon_H20e (a1321)). zenon_intro zenon_H211. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H211); [ zenon_intro zenon_H11 | zenon_intro zenon_H212 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H1ed | zenon_intro zenon_H213 ]. % 0.82/1.02 exact (zenon_H1f1 zenon_H1ed). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfd ]. % 0.82/1.02 exact (zenon_Hf6 zenon_Hfc). % 0.82/1.02 exact (zenon_Hfd zenon_Hf8). % 0.82/1.02 exact (zenon_Hfd zenon_Hf8). % 0.82/1.02 exact (zenon_Hc8 zenon_Hc9). % 0.82/1.02 (* end of lemma zenon_L152_ *) % 0.82/1.02 assert (zenon_L153_ : ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c3_1 (a1328)) -> (c2_1 (a1328)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))) -> (c0_1 (a1328)) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1cf zenon_H1be zenon_H1bd zenon_H1bc zenon_H110 zenon_H10f zenon_H10e zenon_H10d zenon_H12 zenon_Hc8. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1d2 ]. % 0.82/1.02 apply (zenon_L125_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc9 ]. % 0.82/1.02 apply (zenon_L66_); trivial. % 0.82/1.02 exact (zenon_Hc8 zenon_Hc9). % 0.82/1.02 (* end of lemma zenon_L153_ *) % 0.82/1.02 assert (zenon_L154_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (c3_1 (a1321)) -> (~(hskp5)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(c2_1 (a1411))) -> (~(c3_1 (a1411))) -> (c0_1 (a1411)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H11e zenon_H214 zenon_Hf7 zenon_Hf6 zenon_Hf8 zenon_Hc8 zenon_H1bc zenon_H1bd zenon_H1be zenon_H1cf zenon_H32 zenon_H33 zenon_H34. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H20e | zenon_intro zenon_H215 ]. % 0.82/1.02 apply (zenon_L152_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H10e | zenon_intro zenon_H31 ]. % 0.82/1.02 apply (zenon_L153_); trivial. % 0.82/1.02 apply (zenon_L16_); trivial. % 0.82/1.02 (* end of lemma zenon_L154_ *) % 0.82/1.02 assert (zenon_L155_ : ((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (c3_1 (a1321)) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp25)) -> (~(hskp14)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H3d zenon_H123 zenon_H214 zenon_H1bc zenon_H1bd zenon_H1be zenon_Hf7 zenon_Hf6 zenon_Hf8 zenon_Hc8 zenon_H1cf zenon_H20a zenon_H1f5 zenon_H20c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.02 apply (zenon_L151_); trivial. % 0.82/1.02 apply (zenon_L154_); trivial. % 0.82/1.02 (* end of lemma zenon_L155_ *) % 0.82/1.02 assert (zenon_L156_ : (forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (ndr1_0) -> (~(c3_1 (a1394))) -> (c0_1 (a1394)) -> (c2_1 (a1394)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H50 zenon_H12 zenon_H216 zenon_H217 zenon_H218. % 0.82/1.02 generalize (zenon_H50 (a1394)). zenon_intro zenon_H219. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H219); [ zenon_intro zenon_H11 | zenon_intro zenon_H21a ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H21c | zenon_intro zenon_H21b ]. % 0.82/1.02 exact (zenon_H216 zenon_H21c). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21e | zenon_intro zenon_H21d ]. % 0.82/1.02 exact (zenon_H21e zenon_H217). % 0.82/1.02 exact (zenon_H21d zenon_H218). % 0.82/1.02 (* end of lemma zenon_L156_ *) % 0.82/1.02 assert (zenon_L157_ : ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (c2_1 (a1394)) -> (c0_1 (a1394)) -> (~(c3_1 (a1394))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H21f zenon_H218 zenon_H217 zenon_H216 zenon_H12 zenon_H1b7 zenon_Hd7. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H50 | zenon_intro zenon_H220 ]. % 0.82/1.02 apply (zenon_L156_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H1b8 | zenon_intro zenon_Hd8 ]. % 0.82/1.02 exact (zenon_H1b7 zenon_H1b8). % 0.82/1.02 exact (zenon_Hd7 zenon_Hd8). % 0.82/1.02 (* end of lemma zenon_L157_ *) % 0.82/1.02 assert (zenon_L158_ : ((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H221 zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H1be zenon_H1bd zenon_H1bc zenon_Hd7 zenon_H21f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H222. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H217. zenon_intro zenon_H223. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H218. zenon_intro zenon_H216. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ce ]. % 0.82/1.02 apply (zenon_L157_); trivial. % 0.82/1.02 apply (zenon_L127_); trivial. % 0.82/1.02 (* end of lemma zenon_L158_ *) % 0.82/1.02 assert (zenon_L159_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> (~(hskp14)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1321)) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H224 zenon_H1d4 zenon_Hd7 zenon_H21f zenon_Hd6 zenon_Hd4 zenon_H20c zenon_H1f5 zenon_H1cf zenon_Hc8 zenon_Hf8 zenon_Hf6 zenon_Hf7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H214 zenon_H123 zenon_H78. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H20a | zenon_intro zenon_H221 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.82/1.02 apply (zenon_L52_); trivial. % 0.82/1.02 apply (zenon_L155_); trivial. % 0.82/1.02 apply (zenon_L158_); trivial. % 0.82/1.02 (* end of lemma zenon_L159_ *) % 0.82/1.02 assert (zenon_L160_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (~(hskp11)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H124 zenon_H18b zenon_H184 zenon_H183 zenon_H182 zenon_H1f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H136 | zenon_intro zenon_H18c ]. % 0.82/1.02 apply (zenon_L140_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H181 | zenon_intro zenon_H20 ]. % 0.82/1.02 apply (zenon_L103_); trivial. % 0.82/1.02 exact (zenon_H1f zenon_H20). % 0.82/1.02 (* end of lemma zenon_L160_ *) % 0.82/1.02 assert (zenon_L161_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (c3_1 (a1321)) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp14)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d3 zenon_H128 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_H78 zenon_H123 zenon_H214 zenon_Hf7 zenon_Hf6 zenon_Hf8 zenon_Hc8 zenon_H1cf zenon_H1f5 zenon_H20c zenon_Hd4 zenon_Hd6 zenon_H21f zenon_H1d4 zenon_H224. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.02 apply (zenon_L159_); trivial. % 0.82/1.02 apply (zenon_L160_); trivial. % 0.82/1.02 (* end of lemma zenon_L161_ *) % 0.82/1.02 assert (zenon_L162_ : ((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp14)) -> (~(hskp8)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H7b zenon_H225 zenon_H1f5 zenon_H98. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H12. zenon_intro zenon_H7c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H44. zenon_intro zenon_H7d. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H45. zenon_intro zenon_H43. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H42 | zenon_intro zenon_H226 ]. % 0.82/1.02 apply (zenon_L19_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H99 ]. % 0.82/1.02 exact (zenon_H1f5 zenon_H1f6). % 0.82/1.02 exact (zenon_H98 zenon_H99). % 0.82/1.02 (* end of lemma zenon_L162_ *) % 0.82/1.02 assert (zenon_L163_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (ndr1_0) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H7a zenon_H225 zenon_H98 zenon_H1f5 zenon_H22 zenon_H1f zenon_Hec zenon_Hea zenon_Heb zenon_H12 zenon_H182 zenon_H183 zenon_H184 zenon_H18b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.02 apply (zenon_L104_); trivial. % 0.82/1.02 apply (zenon_L162_); trivial. % 0.82/1.02 (* end of lemma zenon_L163_ *) % 0.82/1.02 assert (zenon_L164_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H18f zenon_H209 zenon_H1e0 zenon_H5 zenon_H18b zenon_Heb zenon_Hea zenon_Hec zenon_H1f zenon_H22 zenon_H98 zenon_H225 zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.02 apply (zenon_L163_); trivial. % 0.82/1.02 apply (zenon_L148_); trivial. % 0.82/1.02 (* end of lemma zenon_L164_ *) % 0.82/1.02 assert (zenon_L165_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H131 zenon_H192 zenon_H18b zenon_H1f zenon_H22 zenon_H225 zenon_H7a zenon_Hba zenon_H1fb zenon_H77 zenon_H17b zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H17e zenon_H16c zenon_H123 zenon_Hd9 zenon_H1f7 zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H148 zenon_H128 zenon_H98 zenon_H5 zenon_H1e0 zenon_H209. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.02 apply (zenon_L149_); trivial. % 0.82/1.02 apply (zenon_L164_); trivial. % 0.82/1.02 (* end of lemma zenon_L165_ *) % 0.82/1.02 assert (zenon_L166_ : (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74)))))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54)))))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H162 zenon_H12 zenon_Ha1 zenon_H1aa zenon_Ha2 zenon_Ha3. % 0.82/1.02 generalize (zenon_H162 (a1324)). zenon_intro zenon_H227. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H227); [ zenon_intro zenon_H11 | zenon_intro zenon_H228 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H229 ]. % 0.82/1.02 exact (zenon_Ha1 zenon_Ha7). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22a | zenon_intro zenon_Ha8 ]. % 0.82/1.02 generalize (zenon_H1aa (a1324)). zenon_intro zenon_H22b. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H22b); [ zenon_intro zenon_H11 | zenon_intro zenon_H22c ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22d ]. % 0.82/1.02 exact (zenon_Ha1 zenon_Ha7). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H22e | zenon_intro zenon_Ha9 ]. % 0.82/1.02 exact (zenon_H22a zenon_H22e). % 0.82/1.02 exact (zenon_Ha9 zenon_Ha2). % 0.82/1.02 exact (zenon_Ha8 zenon_Ha3). % 0.82/1.02 (* end of lemma zenon_L166_ *) % 0.82/1.02 assert (zenon_L167_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54)))))) -> (~(c1_1 (a1324))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp2)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H22f zenon_Ha3 zenon_Ha2 zenon_H1aa zenon_Ha1 zenon_H12 zenon_H1d zenon_H14d. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H162 | zenon_intro zenon_H230 ]. % 0.82/1.02 apply (zenon_L166_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H1e | zenon_intro zenon_H14e ]. % 0.82/1.02 exact (zenon_H1d zenon_H1e). % 0.82/1.02 exact (zenon_H14d zenon_H14e). % 0.82/1.02 (* end of lemma zenon_L167_ *) % 0.82/1.02 assert (zenon_L168_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (~(hskp2)) -> (~(hskp22)) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1b5 zenon_H14d zenon_H1d zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_H22f zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H1b3. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_L167_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b4 ]. % 0.82/1.02 apply (zenon_L120_); trivial. % 0.82/1.02 exact (zenon_H1b3 zenon_H1b4). % 0.82/1.02 (* end of lemma zenon_L168_ *) % 0.82/1.02 assert (zenon_L169_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (ndr1_0) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp15)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H7a zenon_H225 zenon_H98 zenon_H1f5 zenon_H22f zenon_H14d zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H12 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b3 zenon_H1b5. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.02 apply (zenon_L168_); trivial. % 0.82/1.02 apply (zenon_L162_); trivial. % 0.82/1.02 (* end of lemma zenon_L169_ *) % 0.82/1.02 assert (zenon_L170_ : (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (ndr1_0) -> (~(c3_1 (a1331))) -> (c0_1 (a1331)) -> (c1_1 (a1331)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H42 zenon_H12 zenon_H1bc zenon_H231 zenon_H1bd. % 0.82/1.02 generalize (zenon_H42 (a1331)). zenon_intro zenon_H232. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H232); [ zenon_intro zenon_H11 | zenon_intro zenon_H233 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H234 ]. % 0.82/1.02 exact (zenon_H1bc zenon_H1c2). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H235 | zenon_intro zenon_H1c4 ]. % 0.82/1.02 exact (zenon_H235 zenon_H231). % 0.82/1.02 exact (zenon_H1c4 zenon_H1bd). % 0.82/1.02 (* end of lemma zenon_L170_ *) % 0.82/1.02 assert (zenon_L171_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H68 zenon_H12 zenon_H42 zenon_H1bc zenon_H1bd zenon_H1be. % 0.82/1.02 generalize (zenon_H68 (a1331)). zenon_intro zenon_H236. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H236); [ zenon_intro zenon_H11 | zenon_intro zenon_H237 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H231 | zenon_intro zenon_H1c1 ]. % 0.82/1.02 apply (zenon_L170_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c3 ]. % 0.82/1.02 exact (zenon_H1c4 zenon_H1bd). % 0.82/1.02 exact (zenon_H1c3 zenon_H1be). % 0.82/1.02 (* end of lemma zenon_L171_ *) % 0.82/1.02 assert (zenon_L172_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp24)) -> (~(hskp20)) -> (ndr1_0) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp16)) -> (~(hskp17)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H8c zenon_H4c zenon_Hd zenon_H12 zenon_H1bc zenon_H1bd zenon_H1be zenon_H4e zenon_H8a zenon_H7e. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H68 | zenon_intro zenon_H8d ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H42 | zenon_intro zenon_H4f ]. % 0.82/1.02 apply (zenon_L171_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_He | zenon_intro zenon_H4d ]. % 0.82/1.02 exact (zenon_Hd zenon_He). % 0.82/1.02 exact (zenon_H4c zenon_H4d). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H8b | zenon_intro zenon_H7f ]. % 0.82/1.02 exact (zenon_H8a zenon_H8b). % 0.82/1.02 exact (zenon_H7e zenon_H7f). % 0.82/1.02 (* end of lemma zenon_L172_ *) % 0.82/1.02 assert (zenon_L173_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a1331))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H157 zenon_H12 zenon_H235 zenon_H1bc zenon_H1bd. % 0.82/1.02 generalize (zenon_H157 (a1331)). zenon_intro zenon_H238. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H238); [ zenon_intro zenon_H11 | zenon_intro zenon_H239 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H231 | zenon_intro zenon_H23a ]. % 0.82/1.02 exact (zenon_H235 zenon_H231). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1c4 ]. % 0.82/1.02 exact (zenon_H1bc zenon_H1c2). % 0.82/1.02 exact (zenon_H1c4 zenon_H1bd). % 0.82/1.02 (* end of lemma zenon_L173_ *) % 0.82/1.02 assert (zenon_L174_ : ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (c3_1 (a1338)) -> (c2_1 (a1338)) -> (c1_1 (a1338)) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H80 zenon_H1be zenon_H1bd zenon_H1bc zenon_H157 zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_H7e. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ]. % 0.82/1.02 generalize (zenon_H82 (a1331)). zenon_intro zenon_H23b. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H23b); [ zenon_intro zenon_H11 | zenon_intro zenon_H23c ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H235 | zenon_intro zenon_H1c1 ]. % 0.82/1.02 apply (zenon_L173_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c3 ]. % 0.82/1.02 exact (zenon_H1c4 zenon_H1bd). % 0.82/1.02 exact (zenon_H1c3 zenon_H1be). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H13 | zenon_intro zenon_H7f ]. % 0.82/1.02 apply (zenon_L10_); trivial. % 0.82/1.02 exact (zenon_H7e zenon_H7f). % 0.82/1.02 (* end of lemma zenon_L174_ *) % 0.82/1.02 assert (zenon_L175_ : ((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(hskp28)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H21 zenon_H161 zenon_Hff zenon_H1bc zenon_H1bd zenon_H1be zenon_H7e zenon_H80. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H157 | zenon_intro zenon_H100 ]. % 0.82/1.02 apply (zenon_L174_); trivial. % 0.82/1.02 exact (zenon_Hff zenon_H100). % 0.82/1.02 (* end of lemma zenon_L175_ *) % 0.82/1.02 assert (zenon_L176_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(hskp28)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp26)) -> (~(hskp20)) -> ((hskp26)\/((hskp29)\/(hskp20))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H26 zenon_H161 zenon_Hff zenon_H1bc zenon_H1bd zenon_H1be zenon_H7e zenon_H80 zenon_H9 zenon_Hd zenon_Hf. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.82/1.02 apply (zenon_L8_); trivial. % 0.82/1.02 apply (zenon_L175_); trivial. % 0.82/1.02 (* end of lemma zenon_L176_ *) % 0.82/1.02 assert (zenon_L177_ : ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1328)) -> (c2_1 (a1328)) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74)))))) -> (c0_1 (a1328)) -> (c3_1 (a1338)) -> (c2_1 (a1338)) -> (c1_1 (a1338)) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H80 zenon_H110 zenon_H10f zenon_H162 zenon_H10d zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_H7e. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ]. % 0.82/1.02 apply (zenon_L90_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H13 | zenon_intro zenon_H7f ]. % 0.82/1.02 apply (zenon_L10_); trivial. % 0.82/1.02 exact (zenon_H7e zenon_H7f). % 0.82/1.02 (* end of lemma zenon_L177_ *) % 0.82/1.02 assert (zenon_L178_ : ((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp17)) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (~(hskp27)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H21 zenon_H16c zenon_H7e zenon_H10d zenon_H10f zenon_H110 zenon_H80 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H169. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H162 | zenon_intro zenon_H16e ]. % 0.82/1.02 apply (zenon_L177_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H16a ]. % 0.82/1.02 apply (zenon_L62_); trivial. % 0.82/1.02 exact (zenon_H169 zenon_H16a). % 0.82/1.02 (* end of lemma zenon_L178_ *) % 0.82/1.02 assert (zenon_L179_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp27)) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp26)) -> (~(hskp20)) -> ((hskp26)\/((hskp29)\/(hskp20))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H11e zenon_H26 zenon_H16c zenon_H169 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H7e zenon_H80 zenon_H9 zenon_Hd zenon_Hf. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.82/1.02 apply (zenon_L8_); trivial. % 0.82/1.02 apply (zenon_L178_); trivial. % 0.82/1.02 (* end of lemma zenon_L179_ *) % 0.82/1.02 assert (zenon_L180_ : ((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c2_1 (a1307)) -> (c1_1 (a1307)) -> (c0_1 (a1307)) -> (~(hskp17)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H21 zenon_H80 zenon_H171 zenon_H170 zenon_H16f zenon_H7e. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ]. % 0.82/1.02 apply (zenon_L93_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H13 | zenon_intro zenon_H7f ]. % 0.82/1.02 apply (zenon_L10_); trivial. % 0.82/1.02 exact (zenon_H7e zenon_H7f). % 0.82/1.02 (* end of lemma zenon_L180_ *) % 0.82/1.02 assert (zenon_L181_ : ((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp26)) -> (~(hskp20)) -> ((hskp26)\/((hskp29)\/(hskp20))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H178 zenon_H26 zenon_H80 zenon_H7e zenon_H9 zenon_Hd zenon_Hf. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.82/1.02 apply (zenon_L8_); trivial. % 0.82/1.02 apply (zenon_L180_); trivial. % 0.82/1.02 (* end of lemma zenon_L181_ *) % 0.82/1.02 assert (zenon_L182_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp26)) -> (~(hskp20)) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H17b zenon_H26 zenon_H161 zenon_H1bc zenon_H1bd zenon_H1be zenon_H7e zenon_H80 zenon_H9 zenon_Hd zenon_Hf zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H16c zenon_H123. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.02 apply (zenon_L176_); trivial. % 0.82/1.02 apply (zenon_L179_); trivial. % 0.82/1.02 apply (zenon_L181_); trivial. % 0.82/1.02 (* end of lemma zenon_L182_ *) % 0.82/1.02 assert (zenon_L183_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a1370))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c3_1 (a1370))) -> (c2_1 (a1370)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H10e zenon_H12 zenon_H66 zenon_H23d zenon_H51 zenon_H53. % 0.82/1.02 generalize (zenon_H10e (a1370)). zenon_intro zenon_H23e. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H23e); [ zenon_intro zenon_H11 | zenon_intro zenon_H23f ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H240 | zenon_intro zenon_H56 ]. % 0.82/1.02 exact (zenon_H66 zenon_H240). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ]. % 0.82/1.02 generalize (zenon_H23d (a1370)). zenon_intro zenon_H241. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H241); [ zenon_intro zenon_H11 | zenon_intro zenon_H242 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H5d | zenon_intro zenon_H243 ]. % 0.82/1.02 exact (zenon_H59 zenon_H5d). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H240 | zenon_intro zenon_H57 ]. % 0.82/1.02 exact (zenon_H66 zenon_H240). % 0.82/1.02 exact (zenon_H51 zenon_H57). % 0.82/1.02 exact (zenon_H58 zenon_H53). % 0.82/1.02 (* end of lemma zenon_L183_ *) % 0.82/1.02 assert (zenon_L184_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (c3_1 (a1321)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (c2_1 (a1370)) -> (~(c3_1 (a1370))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c1_1 (a1370))) -> (ndr1_0) -> (~(c2_1 (a1411))) -> (~(c3_1 (a1411))) -> (c0_1 (a1411)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H214 zenon_Hc8 zenon_Hf7 zenon_Hf6 zenon_Hf8 zenon_H1bc zenon_H1bd zenon_H1be zenon_H1cf zenon_H53 zenon_H51 zenon_H23d zenon_H66 zenon_H12 zenon_H32 zenon_H33 zenon_H34. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H20e | zenon_intro zenon_H215 ]. % 0.82/1.02 apply (zenon_L152_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H10e | zenon_intro zenon_H31 ]. % 0.82/1.02 apply (zenon_L183_); trivial. % 0.82/1.02 apply (zenon_L16_); trivial. % 0.82/1.02 (* end of lemma zenon_L184_ *) % 0.82/1.02 assert (zenon_L185_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c1_1 (a1370))) -> (~(c3_1 (a1370))) -> (c2_1 (a1370)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d8 zenon_H12 zenon_H66 zenon_H51 zenon_H53. % 0.82/1.02 generalize (zenon_H1d8 (a1370)). zenon_intro zenon_H244. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H244); [ zenon_intro zenon_H11 | zenon_intro zenon_H245 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H240 | zenon_intro zenon_H5c ]. % 0.82/1.02 exact (zenon_H66 zenon_H240). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 0.82/1.02 exact (zenon_H51 zenon_H57). % 0.82/1.02 exact (zenon_H58 zenon_H53). % 0.82/1.02 (* end of lemma zenon_L185_ *) % 0.82/1.02 assert (zenon_L186_ : ((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c3_1 (a1321)) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1370))) -> (~(c3_1 (a1370))) -> (c2_1 (a1370)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H3d zenon_H246 zenon_H1cf zenon_H1be zenon_H1bd zenon_H1bc zenon_Hf8 zenon_Hf6 zenon_Hf7 zenon_Hc8 zenon_H214 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H66 zenon_H51 zenon_H53. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H23d | zenon_intro zenon_H247 ]. % 0.82/1.02 apply (zenon_L184_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d8 ]. % 0.82/1.02 apply (zenon_L45_); trivial. % 0.82/1.02 apply (zenon_L185_); trivial. % 0.82/1.02 (* end of lemma zenon_L186_ *) % 0.82/1.02 assert (zenon_L187_ : ((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(hskp20)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H62 zenon_H78 zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H1cf zenon_Hc8 zenon_H214 zenon_H123 zenon_H16c zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_Hf zenon_Hd zenon_H80 zenon_H7e zenon_H1be zenon_H1bd zenon_H1bc zenon_H161 zenon_H26 zenon_H17b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H12. zenon_intro zenon_H64. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H53. zenon_intro zenon_H65. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H66. zenon_intro zenon_H51. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.82/1.02 apply (zenon_L182_); trivial. % 0.82/1.02 apply (zenon_L186_); trivial. % 0.82/1.02 (* end of lemma zenon_L187_ *) % 0.82/1.02 assert (zenon_L188_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (ndr1_0) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H77 zenon_H8c zenon_H7e zenon_H8a zenon_H12 zenon_H1bc zenon_H1bd zenon_H1be zenon_H4e zenon_H17b zenon_H26 zenon_H161 zenon_H80 zenon_Hf zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H16c zenon_H123 zenon_H214 zenon_Hc8 zenon_H1cf zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H78 zenon_H79. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H4c | zenon_intro zenon_H62 ]. % 0.82/1.02 apply (zenon_L172_); trivial. % 0.82/1.02 apply (zenon_L187_); trivial. % 0.82/1.02 apply (zenon_L34_); trivial. % 0.82/1.02 (* end of lemma zenon_L188_ *) % 0.82/1.02 assert (zenon_L189_ : (~(hskp23)) -> (hskp23) -> False). % 0.82/1.02 do 0 intro. intros zenon_H248 zenon_H249. % 0.82/1.02 exact (zenon_H248 zenon_H249). % 0.82/1.02 (* end of lemma zenon_L189_ *) % 0.82/1.02 assert (zenon_L190_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp23)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H24a zenon_H91 zenon_H90 zenon_H8f zenon_H68 zenon_H12 zenon_H1d zenon_H248. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H162 | zenon_intro zenon_H24b ]. % 0.82/1.02 generalize (zenon_H162 (a1334)). zenon_intro zenon_H24c. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H24c); [ zenon_intro zenon_H11 | zenon_intro zenon_H24d ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H24e | zenon_intro zenon_H94 ]. % 0.82/1.02 generalize (zenon_H68 (a1334)). zenon_intro zenon_H24f. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H24f); [ zenon_intro zenon_H11 | zenon_intro zenon_H250 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H95 | zenon_intro zenon_H251 ]. % 0.82/1.02 exact (zenon_H8f zenon_H95). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H252 | zenon_intro zenon_H97 ]. % 0.82/1.02 exact (zenon_H252 zenon_H24e). % 0.82/1.02 exact (zenon_H97 zenon_H90). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 0.82/1.02 exact (zenon_H97 zenon_H90). % 0.82/1.02 exact (zenon_H96 zenon_H91). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e | zenon_intro zenon_H249 ]. % 0.82/1.02 exact (zenon_H1d zenon_H1e). % 0.82/1.02 exact (zenon_H248 zenon_H249). % 0.82/1.02 (* end of lemma zenon_L190_ *) % 0.82/1.02 assert (zenon_L191_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(hskp23)) -> (~(hskp22)) -> (~(c0_1 (a1334))) -> (c2_1 (a1334)) -> (c3_1 (a1334)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H101 zenon_H248 zenon_H1d zenon_H8f zenon_H90 zenon_H91 zenon_H24a zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H12 zenon_Hff. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H68 | zenon_intro zenon_H102 ]. % 0.82/1.02 apply (zenon_L190_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H100 ]. % 0.82/1.02 apply (zenon_L62_); trivial. % 0.82/1.02 exact (zenon_Hff zenon_H100). % 0.82/1.02 (* end of lemma zenon_L191_ *) % 0.82/1.02 assert (zenon_L192_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp23)) -> (~(hskp22)) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H78 zenon_H123 zenon_H214 zenon_H1bc zenon_H1bd zenon_H1be zenon_Hc8 zenon_H1cf zenon_H24a zenon_H248 zenon_H1d zenon_H91 zenon_H90 zenon_H8f zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_Hd4 zenon_Hd6. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.82/1.02 apply (zenon_L52_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.02 apply (zenon_L191_); trivial. % 0.82/1.02 apply (zenon_L154_); trivial. % 0.82/1.02 (* end of lemma zenon_L192_ *) % 0.82/1.02 assert (zenon_L193_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (ndr1_0) -> (~(c0_1 (a1359))) -> (~(c1_1 (a1359))) -> (~(c3_1 (a1359))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H23d zenon_H12 zenon_H253 zenon_H254 zenon_H255. % 0.82/1.02 generalize (zenon_H23d (a1359)). zenon_intro zenon_H256. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H256); [ zenon_intro zenon_H11 | zenon_intro zenon_H257 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ]. % 0.82/1.02 exact (zenon_H253 zenon_H259). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H25b | zenon_intro zenon_H25a ]. % 0.82/1.02 exact (zenon_H254 zenon_H25b). % 0.82/1.02 exact (zenon_H255 zenon_H25a). % 0.82/1.02 (* end of lemma zenon_L193_ *) % 0.82/1.02 assert (zenon_L194_ : ((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (~(hskp3)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H25c zenon_H25d zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.82/1.02 apply (zenon_L193_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.82/1.02 apply (zenon_L62_); trivial. % 0.82/1.02 exact (zenon_H1 zenon_H2). % 0.82/1.02 (* end of lemma zenon_L194_ *) % 0.82/1.02 assert (zenon_L195_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (~(c0_1 (a1334))) -> (c2_1 (a1334)) -> (c3_1 (a1334)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H261 zenon_H25d zenon_H1 zenon_Hd6 zenon_Hd4 zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H8f zenon_H90 zenon_H91 zenon_H1d zenon_H24a zenon_H1cf zenon_Hc8 zenon_H1be zenon_H1bd zenon_H1bc zenon_H214 zenon_H123 zenon_H78. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.82/1.02 apply (zenon_L192_); trivial. % 0.82/1.02 apply (zenon_L194_); trivial. % 0.82/1.02 (* end of lemma zenon_L195_ *) % 0.82/1.02 assert (zenon_L196_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a1339))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c2_1 (a1339))) -> (c1_1 (a1339)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H157 zenon_H12 zenon_Hdb zenon_Hda zenon_Hdc zenon_He4. % 0.82/1.02 generalize (zenon_H157 (a1339)). zenon_intro zenon_H262. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H262); [ zenon_intro zenon_H11 | zenon_intro zenon_H263 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 0.82/1.02 exact (zenon_Hdb zenon_He1). % 0.82/1.02 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hdd | zenon_intro zenon_He8 ]. % 0.82/1.02 apply (zenon_L57_); trivial. % 0.82/1.02 exact (zenon_He8 zenon_He4). % 0.82/1.02 (* end of lemma zenon_L196_ *) % 0.82/1.02 assert (zenon_L197_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c1_1 (a1339)) -> (~(c2_1 (a1339))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1339))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (ndr1_0) -> (~(c3_1 (a1356))) -> (c0_1 (a1356)) -> (c1_1 (a1356)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H18d zenon_He4 zenon_Hdc zenon_Hda zenon_Hdb zenon_H184 zenon_H183 zenon_H182 zenon_H12 zenon_H43 zenon_H44 zenon_H45. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H157 | zenon_intro zenon_H18e ]. % 0.82/1.02 apply (zenon_L196_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H181 | zenon_intro zenon_H42 ]. % 0.82/1.02 apply (zenon_L103_); trivial. % 0.82/1.02 apply (zenon_L19_); trivial. % 0.82/1.02 (* end of lemma zenon_L197_ *) % 0.82/1.02 assert (zenon_L198_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c1_1 (a1339)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hf3 zenon_He4 zenon_Hdb zenon_Hdc zenon_Haa zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.82/1.02 apply (zenon_L58_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.82/1.02 generalize (zenon_Haa (a1339)). zenon_intro zenon_He5. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_He5); [ zenon_intro zenon_H11 | zenon_intro zenon_He6 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 0.82/1.02 exact (zenon_Hdc zenon_He3). % 0.82/1.02 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hdd | zenon_intro zenon_He8 ]. % 0.82/1.02 generalize (zenon_He9 (a1339)). zenon_intro zenon_H264. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H264); [ zenon_intro zenon_H11 | zenon_intro zenon_H265 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_He1 | zenon_intro zenon_H266 ]. % 0.82/1.02 exact (zenon_Hdb zenon_He1). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_He8 | zenon_intro zenon_He2 ]. % 0.82/1.02 exact (zenon_He8 zenon_He4). % 0.82/1.02 exact (zenon_He2 zenon_Hdd). % 0.82/1.02 exact (zenon_He8 zenon_He4). % 0.82/1.02 apply (zenon_L40_); trivial. % 0.82/1.02 (* end of lemma zenon_L198_ *) % 0.82/1.02 assert (zenon_L199_ : ((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c1_1 (a1339)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H7b zenon_H148 zenon_H182 zenon_H183 zenon_H184 zenon_H18d zenon_Hf3 zenon_He4 zenon_Hdb zenon_Hdc zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H12. zenon_intro zenon_H7c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H44. zenon_intro zenon_H7d. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H45. zenon_intro zenon_H43. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.02 apply (zenon_L140_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.02 apply (zenon_L197_); trivial. % 0.82/1.02 apply (zenon_L198_); trivial. % 0.82/1.02 (* end of lemma zenon_L199_ *) % 0.82/1.02 assert (zenon_L200_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74)))))) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H13 zenon_H12 zenon_H162 zenon_H10f zenon_H110. % 0.82/1.02 generalize (zenon_H13 (a1328)). zenon_intro zenon_H267. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H267); [ zenon_intro zenon_H11 | zenon_intro zenon_H268 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H116 | zenon_intro zenon_H165 ]. % 0.82/1.02 apply (zenon_L89_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H11b | zenon_intro zenon_H115 ]. % 0.82/1.02 exact (zenon_H11b zenon_H10f). % 0.82/1.02 exact (zenon_H115 zenon_H110). % 0.82/1.02 (* end of lemma zenon_L200_ *) % 0.82/1.02 assert (zenon_L201_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp22)) -> (~(hskp23)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H11e zenon_H24a zenon_H7e zenon_H80 zenon_H1d zenon_H248. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H162 | zenon_intro zenon_H24b ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ]. % 0.82/1.02 apply (zenon_L90_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H13 | zenon_intro zenon_H7f ]. % 0.82/1.02 apply (zenon_L200_); trivial. % 0.82/1.02 exact (zenon_H7e zenon_H7f). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e | zenon_intro zenon_H249 ]. % 0.82/1.02 exact (zenon_H1d zenon_H1e). % 0.82/1.02 exact (zenon_H248 zenon_H249). % 0.82/1.02 (* end of lemma zenon_L201_ *) % 0.82/1.02 assert (zenon_L202_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> (~(hskp18)) -> ((hskp20)\/(hskp18)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H77 zenon_H7a zenon_H225 zenon_H98 zenon_H1f5 zenon_H123 zenon_H24a zenon_H7e zenon_H80 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_H1 zenon_H25d zenon_H261 zenon_Hd7 zenon_Hd9. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.02 apply (zenon_L55_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.02 apply (zenon_L64_); trivial. % 0.82/1.02 apply (zenon_L201_); trivial. % 0.82/1.02 apply (zenon_L194_); trivial. % 0.82/1.02 apply (zenon_L162_); trivial. % 0.82/1.02 (* end of lemma zenon_L202_ *) % 0.82/1.02 assert (zenon_L203_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1339)) -> (~(c2_1 (a1339))) -> (~(c0_1 (a1339))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H148 zenon_He4 zenon_Hdc zenon_Hdb zenon_H13e zenon_H13c zenon_H8e zenon_H12 zenon_Hab zenon_Hac zenon_Had. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.02 apply (zenon_L140_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.02 apply (zenon_L77_); trivial. % 0.82/1.02 apply (zenon_L41_); trivial. % 0.82/1.02 (* end of lemma zenon_L203_ *) % 0.82/1.02 assert (zenon_L204_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (ndr1_0) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (c1_1 (a1339)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp8)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H9b zenon_H42 zenon_Had zenon_Hac zenon_Hab zenon_H12 zenon_H13c zenon_H13e zenon_Hdb zenon_Hdc zenon_He4 zenon_H148 zenon_H98. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.82/1.02 apply (zenon_L110_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.82/1.02 apply (zenon_L203_); trivial. % 0.82/1.02 exact (zenon_H98 zenon_H99). % 0.82/1.02 (* end of lemma zenon_L204_ *) % 0.82/1.02 assert (zenon_L205_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp14)) -> (~(hskp8)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H124 zenon_H225 zenon_H148 zenon_H13e zenon_H13c zenon_Hab zenon_Hac zenon_Had zenon_H9b zenon_H1f5 zenon_H98. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H42 | zenon_intro zenon_H226 ]. % 0.82/1.02 apply (zenon_L204_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H99 ]. % 0.82/1.02 exact (zenon_H1f5 zenon_H1f6). % 0.82/1.02 exact (zenon_H98 zenon_H99). % 0.82/1.02 (* end of lemma zenon_L205_ *) % 0.82/1.02 assert (zenon_L206_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (c1_1 (a1333)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H9b zenon_Had zenon_Hab zenon_Hac zenon_H42 zenon_H91 zenon_H90 zenon_H8f zenon_H12 zenon_H98. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.82/1.02 apply (zenon_L110_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.82/1.02 apply (zenon_L36_); trivial. % 0.82/1.02 exact (zenon_H98 zenon_H99). % 0.82/1.02 (* end of lemma zenon_L206_ *) % 0.82/1.02 assert (zenon_L207_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp14)) -> (~(hskp8)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H9a zenon_H225 zenon_Hac zenon_Hab zenon_Had zenon_H9b zenon_H1f5 zenon_H98. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H42 | zenon_intro zenon_H226 ]. % 0.82/1.02 apply (zenon_L206_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H99 ]. % 0.82/1.02 exact (zenon_H1f5 zenon_H1f6). % 0.82/1.02 exact (zenon_H98 zenon_H99). % 0.82/1.02 (* end of lemma zenon_L207_ *) % 0.82/1.02 assert (zenon_L208_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp20)\/(hskp18)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H77 zenon_H7a zenon_H225 zenon_H98 zenon_H1f5 zenon_H123 zenon_H24a zenon_H80 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_H1 zenon_H25d zenon_H261 zenon_Hd9 zenon_H9b zenon_H13c zenon_H13e zenon_H148 zenon_H128. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.02 apply (zenon_L202_); trivial. % 0.82/1.02 apply (zenon_L205_); trivial. % 0.82/1.02 apply (zenon_L207_); trivial. % 0.82/1.02 (* end of lemma zenon_L208_ *) % 0.82/1.02 assert (zenon_L209_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54)))))) -> (~(c1_1 (a1324))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp23)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H24a zenon_Ha3 zenon_Ha2 zenon_H1aa zenon_Ha1 zenon_H12 zenon_H1d zenon_H248. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H162 | zenon_intro zenon_H24b ]. % 0.82/1.02 apply (zenon_L166_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e | zenon_intro zenon_H249 ]. % 0.82/1.02 exact (zenon_H1d zenon_H1e). % 0.82/1.02 exact (zenon_H248 zenon_H249). % 0.82/1.02 (* end of lemma zenon_L209_ *) % 0.82/1.02 assert (zenon_L210_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp23)) -> (~(hskp22)) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp8)) -> (~(hskp7)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1e0 zenon_H248 zenon_H1d zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_H24a zenon_H98 zenon_H5. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1e1 ]. % 0.82/1.02 apply (zenon_L209_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H99 | zenon_intro zenon_H6 ]. % 0.82/1.02 exact (zenon_H98 zenon_H99). % 0.82/1.02 exact (zenon_H5 zenon_H6). % 0.82/1.02 (* end of lemma zenon_L210_ *) % 0.82/1.02 assert (zenon_L211_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp22)) -> (~(hskp2)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H11e zenon_H22f zenon_H17c zenon_H17e zenon_H1d zenon_H14d. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H162 | zenon_intro zenon_H230 ]. % 0.82/1.02 apply (zenon_L97_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H1e | zenon_intro zenon_H14e ]. % 0.82/1.02 exact (zenon_H1d zenon_H1e). % 0.82/1.02 exact (zenon_H14d zenon_H14e). % 0.82/1.02 (* end of lemma zenon_L211_ *) % 0.82/1.02 assert (zenon_L212_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (c0_1 (a1394)) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a1394))) -> (c2_1 (a1394)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H82 zenon_H12 zenon_H217 zenon_H1d8 zenon_H216 zenon_H218. % 0.82/1.02 generalize (zenon_H82 (a1394)). zenon_intro zenon_H269. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H269); [ zenon_intro zenon_H11 | zenon_intro zenon_H26a ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H21e | zenon_intro zenon_H26b ]. % 0.82/1.02 exact (zenon_H21e zenon_H217). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H26c | zenon_intro zenon_H21d ]. % 0.82/1.02 generalize (zenon_H1d8 (a1394)). zenon_intro zenon_H26d. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_H11 | zenon_intro zenon_H26e ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H270 | zenon_intro zenon_H26f ]. % 0.82/1.02 exact (zenon_H26c zenon_H270). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ]. % 0.82/1.02 exact (zenon_H216 zenon_H21c). % 0.82/1.02 exact (zenon_H21d zenon_H218). % 0.82/1.02 exact (zenon_H21d zenon_H218). % 0.82/1.02 (* end of lemma zenon_L212_ *) % 0.82/1.02 assert (zenon_L213_ : ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> (c2_1 (a1394)) -> (~(c3_1 (a1394))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c0_1 (a1394)) -> (ndr1_0) -> False). % 0.82/1.02 do 0 intro. intros zenon_H17e zenon_H17c zenon_H218 zenon_H216 zenon_H1d8 zenon_H217 zenon_H12. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H82 | zenon_intro zenon_H17d ]. % 0.82/1.02 apply (zenon_L212_); trivial. % 0.82/1.02 exact (zenon_H17c zenon_H17d). % 0.82/1.02 (* end of lemma zenon_L213_ *) % 0.82/1.02 assert (zenon_L214_ : ((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c3_1 (a1359))) -> (~(c1_1 (a1359))) -> (~(c0_1 (a1359))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H221 zenon_H246 zenon_H255 zenon_H254 zenon_H253 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H17e zenon_H17c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H222. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H217. zenon_intro zenon_H223. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H218. zenon_intro zenon_H216. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H23d | zenon_intro zenon_H247 ]. % 0.82/1.02 apply (zenon_L193_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d8 ]. % 0.82/1.02 apply (zenon_L45_); trivial. % 0.82/1.02 apply (zenon_L213_); trivial. % 0.82/1.02 (* end of lemma zenon_L214_ *) % 0.82/1.02 assert (zenon_L215_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H209 zenon_H261 zenon_H224 zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H20c zenon_H17e zenon_H17c zenon_H14d zenon_H22f zenon_H123 zenon_H24a zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H12 zenon_H98 zenon_H5 zenon_H1e0 zenon_H225 zenon_H7a. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.82/1.02 apply (zenon_L210_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H20a | zenon_intro zenon_H221 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.02 apply (zenon_L151_); trivial. % 0.82/1.02 apply (zenon_L211_); trivial. % 0.82/1.02 apply (zenon_L214_); trivial. % 0.82/1.02 apply (zenon_L162_); trivial. % 0.82/1.02 apply (zenon_L148_); trivial. % 0.82/1.02 (* end of lemma zenon_L215_ *) % 0.82/1.02 assert (zenon_L216_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c1_1 (a1315))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp23)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H24a zenon_H13e zenon_H13c zenon_Hda zenon_H19e zenon_H12 zenon_H1d zenon_H248. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H162 | zenon_intro zenon_H24b ]. % 0.82/1.02 generalize (zenon_H162 (a1315)). zenon_intro zenon_H271. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H271); [ zenon_intro zenon_H11 | zenon_intro zenon_H272 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H147 ]. % 0.82/1.02 exact (zenon_H19e zenon_H1e6). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13d | zenon_intro zenon_H143 ]. % 0.82/1.02 apply (zenon_L76_); trivial. % 0.82/1.02 exact (zenon_H143 zenon_H13e). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e | zenon_intro zenon_H249 ]. % 0.82/1.02 exact (zenon_H1d zenon_H1e). % 0.82/1.02 exact (zenon_H248 zenon_H249). % 0.82/1.02 (* end of lemma zenon_L216_ *) % 0.82/1.02 assert (zenon_L217_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp23)) -> (~(hskp22)) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hf3 zenon_H248 zenon_H1d zenon_H19e zenon_H13c zenon_H13e zenon_H24a zenon_Hec zenon_Heb zenon_Hea zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.82/1.02 apply (zenon_L216_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.82/1.02 apply (zenon_L59_); trivial. % 0.82/1.02 apply (zenon_L40_); trivial. % 0.82/1.02 (* end of lemma zenon_L217_ *) % 0.82/1.02 assert (zenon_L218_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp22)) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> (ndr1_0) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H261 zenon_H25d zenon_H1 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H24a zenon_H1d zenon_H13e zenon_H13c zenon_H19e zenon_H12 zenon_Hea zenon_Heb zenon_Hec zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.82/1.02 apply (zenon_L217_); trivial. % 0.82/1.02 apply (zenon_L194_); trivial. % 0.82/1.02 (* end of lemma zenon_L218_ *) % 0.82/1.02 assert (zenon_L219_ : ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H21f zenon_H1be zenon_H1bd zenon_H157 zenon_H1bc zenon_H12 zenon_H1b7 zenon_Hd7. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H50 | zenon_intro zenon_H220 ]. % 0.82/1.02 generalize (zenon_H50 (a1331)). zenon_intro zenon_H273. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H273); [ zenon_intro zenon_H11 | zenon_intro zenon_H274 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H275 ]. % 0.82/1.02 exact (zenon_H1bc zenon_H1c2). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H235 | zenon_intro zenon_H1c3 ]. % 0.82/1.02 apply (zenon_L173_); trivial. % 0.82/1.02 exact (zenon_H1c3 zenon_H1be). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H1b8 | zenon_intro zenon_Hd8 ]. % 0.82/1.02 exact (zenon_H1b7 zenon_H1b8). % 0.82/1.02 exact (zenon_Hd7 zenon_Hd8). % 0.82/1.02 (* end of lemma zenon_L219_ *) % 0.82/1.02 assert (zenon_L220_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(hskp18)) -> (~(hskp30)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (ndr1_0) -> (~(c3_1 (a1356))) -> (c0_1 (a1356)) -> (c1_1 (a1356)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H18d zenon_Hd7 zenon_H1b7 zenon_H1bc zenon_H1bd zenon_H1be zenon_H21f zenon_H184 zenon_H183 zenon_H182 zenon_H12 zenon_H43 zenon_H44 zenon_H45. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H157 | zenon_intro zenon_H18e ]. % 0.82/1.02 apply (zenon_L219_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H181 | zenon_intro zenon_H42 ]. % 0.82/1.02 apply (zenon_L103_); trivial. % 0.82/1.02 apply (zenon_L19_); trivial. % 0.82/1.02 (* end of lemma zenon_L220_ *) % 0.82/1.02 assert (zenon_L221_ : ((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H7b zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H21f zenon_Hd7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H182 zenon_H183 zenon_H184 zenon_H18d. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H12. zenon_intro zenon_H7c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H44. zenon_intro zenon_H7d. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H45. zenon_intro zenon_H43. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ce ]. % 0.82/1.02 apply (zenon_L220_); trivial. % 0.82/1.02 apply (zenon_L127_); trivial. % 0.82/1.02 (* end of lemma zenon_L221_ *) % 0.82/1.02 assert (zenon_L222_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp16)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H124 zenon_H148 zenon_H8a zenon_H1f5 zenon_H1f7 zenon_Hf3 zenon_Hec zenon_Heb zenon_Hea zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.02 apply (zenon_L140_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.02 apply (zenon_L142_); trivial. % 0.82/1.02 apply (zenon_L60_); trivial. % 0.82/1.02 (* end of lemma zenon_L222_ *) % 0.82/1.02 assert (zenon_L223_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hf3 zenon_H13e zenon_H13c zenon_H8e zenon_Hec zenon_Heb zenon_Hea zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.82/1.02 apply (zenon_L77_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.82/1.02 apply (zenon_L59_); trivial. % 0.82/1.02 apply (zenon_L40_); trivial. % 0.82/1.02 (* end of lemma zenon_L223_ *) % 0.82/1.02 assert (zenon_L224_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (c1_1 (a1333)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (ndr1_0) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp8)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H9b zenon_Had zenon_Hab zenon_Hac zenon_H42 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H12 zenon_Hea zenon_Heb zenon_Hec zenon_H13c zenon_H13e zenon_Hf3 zenon_H98. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.82/1.02 apply (zenon_L110_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.82/1.02 apply (zenon_L223_); trivial. % 0.82/1.02 exact (zenon_H98 zenon_H99). % 0.82/1.02 (* end of lemma zenon_L224_ *) % 0.82/1.03 assert (zenon_L225_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp14)) -> (~(hskp8)) -> False). % 0.82/1.03 do 0 intro. intros zenon_Hb6 zenon_H225 zenon_Hf3 zenon_H13e zenon_H13c zenon_Hec zenon_Heb zenon_Hea zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_H9b zenon_H1f5 zenon_H98. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H42 | zenon_intro zenon_H226 ]. % 0.82/1.03 apply (zenon_L224_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H99 ]. % 0.82/1.03 exact (zenon_H1f5 zenon_H1f6). % 0.82/1.03 exact (zenon_H98 zenon_H99). % 0.82/1.03 (* end of lemma zenon_L225_ *) % 0.82/1.03 assert (zenon_L226_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp15)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H1f5 zenon_H1b3. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H52 | zenon_intro zenon_H277 ]. % 0.82/1.03 apply (zenon_L65_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1b4 ]. % 0.82/1.03 exact (zenon_H1f5 zenon_H1f6). % 0.82/1.03 exact (zenon_H1b3 zenon_H1b4). % 0.82/1.03 (* end of lemma zenon_L226_ *) % 0.82/1.03 assert (zenon_L227_ : ((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp10)) -> (~(hskp1)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H62 zenon_H1de zenon_Hd0 zenon_H1dc. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H12. zenon_intro zenon_H64. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H53. zenon_intro zenon_H65. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H66. zenon_intro zenon_H51. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1df ]. % 0.82/1.03 apply (zenon_L185_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1dd ]. % 0.82/1.03 exact (zenon_Hd0 zenon_Hd1). % 0.82/1.03 exact (zenon_H1dc zenon_H1dd). % 0.82/1.03 (* end of lemma zenon_L227_ *) % 0.82/1.03 assert (zenon_L228_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (ndr1_0) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H77 zenon_H8c zenon_H7e zenon_H8a zenon_H12 zenon_H1bc zenon_H1bd zenon_H1be zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H4c | zenon_intro zenon_H62 ]. % 0.82/1.03 apply (zenon_L172_); trivial. % 0.82/1.03 apply (zenon_L227_); trivial. % 0.82/1.03 apply (zenon_L34_); trivial. % 0.82/1.03 (* end of lemma zenon_L228_ *) % 0.82/1.03 assert (zenon_L229_ : ((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1ce zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H91 zenon_H90 zenon_H8f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H12. zenon_intro zenon_H1d0. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1c5. zenon_intro zenon_H1d1. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1c6. zenon_intro zenon_H1c7. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H52 | zenon_intro zenon_H11d ]. % 0.82/1.03 apply (zenon_L65_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H8e | zenon_intro zenon_H10c ]. % 0.82/1.03 apply (zenon_L36_); trivial. % 0.82/1.03 apply (zenon_L126_); trivial. % 0.82/1.03 (* end of lemma zenon_L229_ *) % 0.82/1.03 assert (zenon_L230_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp28)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1d4 zenon_H11c zenon_H91 zenon_H90 zenon_H8f zenon_H105 zenon_H104 zenon_H103 zenon_H21f zenon_Hd7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_Hff zenon_H161. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ce ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H157 | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_L219_); trivial. % 0.82/1.03 exact (zenon_Hff zenon_H100). % 0.82/1.03 apply (zenon_L229_); trivial. % 0.82/1.03 (* end of lemma zenon_L230_ *) % 0.82/1.03 assert (zenon_L231_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (ndr1_0) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1334))) -> (c2_1 (a1334)) -> (c3_1 (a1334)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H123 zenon_H11f zenon_H161 zenon_H12 zenon_H1bc zenon_H1bd zenon_H1be zenon_Hd7 zenon_H21f zenon_H103 zenon_H104 zenon_H105 zenon_H8f zenon_H90 zenon_H91 zenon_H11c zenon_H1d4. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_L230_); trivial. % 0.82/1.03 apply (zenon_L68_); trivial. % 0.82/1.03 (* end of lemma zenon_L231_ *) % 0.82/1.03 assert (zenon_L232_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(hskp28)) -> (c1_1 (a1339)) -> (~(c2_1 (a1339))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1339))) -> (ndr1_0) -> False). % 0.82/1.03 do 0 intro. intros zenon_H161 zenon_Hff zenon_He4 zenon_Hdc zenon_Hda zenon_Hdb zenon_H12. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H157 | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_L196_); trivial. % 0.82/1.03 exact (zenon_Hff zenon_H100). % 0.82/1.03 (* end of lemma zenon_L232_ *) % 0.82/1.03 assert (zenon_L233_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp28)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c1_1 (a1339)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H148 zenon_Hff zenon_H161 zenon_H1f9 zenon_He4 zenon_Hdb zenon_Hdc zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H17c. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.03 apply (zenon_L140_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.03 apply (zenon_L232_); trivial. % 0.82/1.03 apply (zenon_L143_); trivial. % 0.82/1.03 (* end of lemma zenon_L233_ *) % 0.82/1.03 assert (zenon_L234_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H9f zenon_H128 zenon_H1f9 zenon_H17c zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H148 zenon_H1d4 zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H21f zenon_H161 zenon_H11f zenon_H123 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H8c zenon_H77. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.03 apply (zenon_L228_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L231_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_L233_); trivial. % 0.82/1.03 apply (zenon_L68_); trivial. % 0.82/1.03 (* end of lemma zenon_L234_ *) % 0.82/1.03 assert (zenon_L235_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1330)) -> (~(c2_1 (a1330))) -> (~(c1_1 (a1330))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1b5 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H1b3. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_L147_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b4 ]. % 0.82/1.03 apply (zenon_L120_); trivial. % 0.82/1.03 exact (zenon_H1b3 zenon_H1b4). % 0.82/1.03 (* end of lemma zenon_L235_ *) % 0.82/1.03 assert (zenon_L236_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1330)) -> (~(c2_1 (a1330))) -> (~(c1_1 (a1330))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp18)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H278 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H12 zenon_Hb zenon_Hd7. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1aa | zenon_intro zenon_H279 ]. % 0.82/1.03 apply (zenon_L147_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_Hc | zenon_intro zenon_Hd8 ]. % 0.82/1.03 exact (zenon_Hb zenon_Hc). % 0.82/1.03 exact (zenon_Hd7 zenon_Hd8). % 0.82/1.03 (* end of lemma zenon_L236_ *) % 0.82/1.03 assert (zenon_L237_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(hskp28)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> (~(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H26 zenon_H161 zenon_Hff zenon_H1bc zenon_H1bd zenon_H1be zenon_H7e zenon_H80 zenon_H12 zenon_H1fd zenon_H1fe zenon_H1ff zenon_Hd7 zenon_H278. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.82/1.03 apply (zenon_L236_); trivial. % 0.82/1.03 apply (zenon_L175_); trivial. % 0.82/1.03 (* end of lemma zenon_L237_ *) % 0.82/1.03 assert (zenon_L238_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (c3_1 (a1315)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1315))) -> (ndr1_0) -> (c0_1 (a1328)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H13e zenon_Hda zenon_H13c zenon_H12 zenon_H10d zenon_H10e zenon_H10f zenon_H110. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H52 | zenon_intro zenon_H11d ]. % 0.82/1.03 apply (zenon_L65_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H8e | zenon_intro zenon_H10c ]. % 0.82/1.03 apply (zenon_L77_); trivial. % 0.82/1.03 apply (zenon_L66_); trivial. % 0.82/1.03 (* end of lemma zenon_L238_ *) % 0.82/1.03 assert (zenon_L239_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (c3_1 (a1315)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1315))) -> (ndr1_0) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H13e zenon_Hda zenon_H13c zenon_H12 zenon_H10d zenon_H10f zenon_H110. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.82/1.03 apply (zenon_L65_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.82/1.03 apply (zenon_L77_); trivial. % 0.82/1.03 apply (zenon_L238_); trivial. % 0.82/1.03 (* end of lemma zenon_L239_ *) % 0.82/1.03 assert (zenon_L240_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp13)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H11e zenon_H1f9 zenon_H13c zenon_H13e zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H17c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fa ]. % 0.82/1.03 apply (zenon_L239_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1af | zenon_intro zenon_H17d ]. % 0.82/1.03 apply (zenon_L120_); trivial. % 0.82/1.03 exact (zenon_H17c zenon_H17d). % 0.82/1.03 (* end of lemma zenon_L240_ *) % 0.82/1.03 assert (zenon_L241_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1330)) -> (~(c2_1 (a1330))) -> (~(c1_1 (a1330))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H123 zenon_H1f9 zenon_H17c zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H11c zenon_H11f zenon_H278 zenon_Hd7 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H12 zenon_H80 zenon_H7e zenon_H1be zenon_H1bd zenon_H1bc zenon_H161 zenon_H26. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_L237_); trivial. % 0.82/1.03 apply (zenon_L240_); trivial. % 0.82/1.03 (* end of lemma zenon_L241_ *) % 0.82/1.03 assert (zenon_L242_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1339)) -> (~(c2_1 (a1339))) -> (~(c0_1 (a1339))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H11e zenon_H13c zenon_H13e zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H148 zenon_He4 zenon_Hdc zenon_Hdb zenon_H11f zenon_Hab zenon_Hac zenon_Had. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.03 apply (zenon_L140_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.82/1.03 apply (zenon_L65_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.82/1.03 apply (zenon_L203_); trivial. % 0.82/1.03 apply (zenon_L238_); trivial. % 0.82/1.03 apply (zenon_L41_); trivial. % 0.82/1.03 (* end of lemma zenon_L242_ *) % 0.82/1.03 assert (zenon_L243_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H124 zenon_H123 zenon_H103 zenon_H104 zenon_H105 zenon_Had zenon_Hac zenon_Hab zenon_H13e zenon_H13c zenon_H11c zenon_H11f zenon_H161 zenon_H1f9 zenon_H17c zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H148. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_L233_); trivial. % 0.82/1.03 apply (zenon_L242_); trivial. % 0.82/1.03 (* end of lemma zenon_L243_ *) % 0.82/1.03 assert (zenon_L244_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H209 zenon_H13c zenon_H13e zenon_H278 zenon_H80 zenon_H26 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H9f zenon_H128 zenon_H1f9 zenon_H17c zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H148 zenon_H1d4 zenon_H11c zenon_H21f zenon_H161 zenon_H11f zenon_H123 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H8c zenon_H77 zenon_H1fb zenon_Hba zenon_H1d7. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L226_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.03 apply (zenon_L234_); trivial. % 0.82/1.03 apply (zenon_L145_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L235_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.03 apply (zenon_L234_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L241_); trivial. % 0.82/1.03 apply (zenon_L243_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L231_); trivial. % 0.82/1.03 apply (zenon_L243_); trivial. % 0.82/1.03 (* end of lemma zenon_L244_ *) % 0.82/1.03 assert (zenon_L245_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp30)\/((hskp2)\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(hskp14)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1d7 zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H14d zenon_H3b zenon_H1b9 zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H1f5 zenon_H276. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L226_); trivial. % 0.82/1.03 apply (zenon_L128_); trivial. % 0.82/1.03 (* end of lemma zenon_L245_ *) % 0.82/1.03 assert (zenon_L246_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H157 zenon_H12 zenon_H42 zenon_H1bc zenon_H1bd. % 0.82/1.03 generalize (zenon_H157 (a1331)). zenon_intro zenon_H238. % 0.82/1.03 apply (zenon_imply_s _ _ zenon_H238); [ zenon_intro zenon_H11 | zenon_intro zenon_H239 ]. % 0.82/1.03 exact (zenon_H11 zenon_H12). % 0.82/1.03 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H231 | zenon_intro zenon_H23a ]. % 0.82/1.03 apply (zenon_L170_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1c4 ]. % 0.82/1.03 exact (zenon_H1bc zenon_H1c2). % 0.82/1.03 exact (zenon_H1c4 zenon_H1bd). % 0.82/1.03 (* end of lemma zenon_L246_ *) % 0.82/1.03 assert (zenon_L247_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(hskp28)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (ndr1_0) -> False). % 0.82/1.03 do 0 intro. intros zenon_H161 zenon_Hff zenon_H1bd zenon_H1bc zenon_H42 zenon_H12. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H157 | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_L246_); trivial. % 0.82/1.03 exact (zenon_Hff zenon_H100). % 0.82/1.03 (* end of lemma zenon_L247_ *) % 0.82/1.03 assert (zenon_L248_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(hskp28)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H21f zenon_Hd7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H182 zenon_H183 zenon_H184 zenon_H161 zenon_Hff zenon_H18d. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ce ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H157 | zenon_intro zenon_H18e ]. % 0.82/1.03 apply (zenon_L219_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H181 | zenon_intro zenon_H42 ]. % 0.82/1.03 apply (zenon_L103_); trivial. % 0.82/1.03 apply (zenon_L247_); trivial. % 0.82/1.03 apply (zenon_L127_); trivial. % 0.82/1.03 (* end of lemma zenon_L248_ *) % 0.82/1.03 assert (zenon_L249_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (ndr1_0) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H123 zenon_H11f zenon_H11c zenon_H91 zenon_H90 zenon_H8f zenon_H105 zenon_H104 zenon_H103 zenon_H18d zenon_H161 zenon_H184 zenon_H183 zenon_H182 zenon_H12 zenon_H1bc zenon_H1bd zenon_H1be zenon_Hd7 zenon_H21f zenon_Hc8 zenon_H1cf zenon_H1d4. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_L248_); trivial. % 0.82/1.03 apply (zenon_L68_); trivial. % 0.82/1.03 (* end of lemma zenon_L249_ *) % 0.82/1.03 assert (zenon_L250_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H9f zenon_H128 zenon_H18b zenon_H1f zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H21f zenon_H182 zenon_H183 zenon_H184 zenon_H161 zenon_H18d zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H8c zenon_H77. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.03 apply (zenon_L228_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L249_); trivial. % 0.82/1.03 apply (zenon_L160_); trivial. % 0.82/1.03 (* end of lemma zenon_L250_ *) % 0.82/1.03 assert (zenon_L251_ : ((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp17)) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp22)) -> (~(hskp2)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H21 zenon_H22f zenon_H7e zenon_H10d zenon_H10f zenon_H110 zenon_H80 zenon_H1d zenon_H14d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H162 | zenon_intro zenon_H230 ]. % 0.82/1.03 apply (zenon_L177_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H1e | zenon_intro zenon_H14e ]. % 0.82/1.03 exact (zenon_H1d zenon_H1e). % 0.82/1.03 exact (zenon_H14d zenon_H14e). % 0.82/1.03 (* end of lemma zenon_L251_ *) % 0.82/1.03 assert (zenon_L252_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp22)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1330)) -> (~(c2_1 (a1330))) -> (~(c1_1 (a1330))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H123 zenon_H22f zenon_H14d zenon_H1d zenon_H278 zenon_Hd7 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H12 zenon_H80 zenon_H7e zenon_H1be zenon_H1bd zenon_H1bc zenon_H161 zenon_H26. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_L237_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.82/1.03 apply (zenon_L236_); trivial. % 0.82/1.03 apply (zenon_L251_); trivial. % 0.82/1.03 (* end of lemma zenon_L252_ *) % 0.82/1.03 assert (zenon_L253_ : ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (c0_1 (a1411)) -> (~(c3_1 (a1411))) -> (~(c2_1 (a1411))) -> (c1_1 (a1356)) -> (c0_1 (a1356)) -> (~(c3_1 (a1356))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H27a zenon_H34 zenon_H33 zenon_H32 zenon_H45 zenon_H44 zenon_H43 zenon_H12 zenon_H169. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H31 | zenon_intro zenon_H27b ]. % 0.82/1.03 apply (zenon_L16_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H42 | zenon_intro zenon_H16a ]. % 0.82/1.03 apply (zenon_L19_); trivial. % 0.82/1.03 exact (zenon_H169 zenon_H16a). % 0.82/1.03 (* end of lemma zenon_L253_ *) % 0.82/1.03 assert (zenon_L254_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp1)) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp29)) -> (~(hskp18)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H278 zenon_H1dc zenon_Hd0 zenon_H12 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1de zenon_Hb zenon_Hd7. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1aa | zenon_intro zenon_H279 ]. % 0.82/1.03 apply (zenon_L133_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_Hc | zenon_intro zenon_Hd8 ]. % 0.82/1.03 exact (zenon_Hb zenon_Hc). % 0.82/1.03 exact (zenon_Hd7 zenon_Hd8). % 0.82/1.03 (* end of lemma zenon_L254_ *) % 0.82/1.03 assert (zenon_L255_ : ((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H178 zenon_H26 zenon_H80 zenon_H7e zenon_H1de zenon_H1dc zenon_Hd0 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_Hd7 zenon_H278. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.82/1.03 apply (zenon_L254_); trivial. % 0.82/1.03 apply (zenon_L180_); trivial. % 0.82/1.03 (* end of lemma zenon_L255_ *) % 0.82/1.03 assert (zenon_L256_ : ((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c3_1 (a1356))) -> (c0_1 (a1356)) -> (c1_1 (a1356)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H3d zenon_H17b zenon_H26 zenon_H80 zenon_H7e zenon_H1de zenon_H1dc zenon_Hd0 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_Hd7 zenon_H278 zenon_H43 zenon_H44 zenon_H45 zenon_H27a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.82/1.03 apply (zenon_L253_); trivial. % 0.82/1.03 apply (zenon_L255_); trivial. % 0.82/1.03 (* end of lemma zenon_L256_ *) % 0.82/1.03 assert (zenon_L257_ : ((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H7b zenon_H78 zenon_H17b zenon_H26 zenon_H80 zenon_H7e zenon_H1de zenon_H1dc zenon_Hd0 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_Hd7 zenon_H278 zenon_H27a zenon_Hd4 zenon_Hd6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H12. zenon_intro zenon_H7c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H44. zenon_intro zenon_H7d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H45. zenon_intro zenon_H43. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.82/1.03 apply (zenon_L52_); trivial. % 0.82/1.03 apply (zenon_L256_); trivial. % 0.82/1.03 (* end of lemma zenon_L257_ *) % 0.82/1.03 assert (zenon_L258_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> (~(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H7a zenon_H78 zenon_H17b zenon_H1de zenon_H1dc zenon_Hd0 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H27a zenon_Hd4 zenon_Hd6 zenon_H26 zenon_H161 zenon_H1bc zenon_H1bd zenon_H1be zenon_H7e zenon_H80 zenon_H12 zenon_H1fd zenon_H1fe zenon_H1ff zenon_Hd7 zenon_H278 zenon_H14d zenon_H22f zenon_H123. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.03 apply (zenon_L252_); trivial. % 0.82/1.03 apply (zenon_L257_); trivial. % 0.82/1.03 (* end of lemma zenon_L258_ *) % 0.82/1.03 assert (zenon_L259_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c1_1 (a1339)) -> (~(c2_1 (a1339))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1339))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(hskp28)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> False). % 0.82/1.03 do 0 intro. intros zenon_H18d zenon_He4 zenon_Hdc zenon_Hda zenon_Hdb zenon_H184 zenon_H183 zenon_H182 zenon_H161 zenon_Hff zenon_H1bd zenon_H1bc zenon_H12. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H157 | zenon_intro zenon_H18e ]. % 0.82/1.03 apply (zenon_L196_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H181 | zenon_intro zenon_H42 ]. % 0.82/1.03 apply (zenon_L103_); trivial. % 0.82/1.03 apply (zenon_L247_); trivial. % 0.82/1.03 (* end of lemma zenon_L259_ *) % 0.82/1.03 assert (zenon_L260_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H124 zenon_H123 zenon_H103 zenon_H104 zenon_H105 zenon_H13e zenon_H13c zenon_H11c zenon_H11f zenon_H18d zenon_H1bc zenon_H1bd zenon_H161 zenon_H184 zenon_H183 zenon_H182 zenon_Hab zenon_Hac zenon_Had zenon_H148. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.03 apply (zenon_L140_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.03 apply (zenon_L259_); trivial. % 0.82/1.03 apply (zenon_L41_); trivial. % 0.82/1.03 apply (zenon_L242_); trivial. % 0.82/1.03 (* end of lemma zenon_L260_ *) % 0.82/1.03 assert (zenon_L261_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H9a zenon_H128 zenon_H13e zenon_H13c zenon_Hab zenon_Hac zenon_Had zenon_H148 zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H21f zenon_H1be zenon_H1bd zenon_H1bc zenon_H182 zenon_H183 zenon_H184 zenon_H161 zenon_H18d zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L249_); trivial. % 0.82/1.03 apply (zenon_L260_); trivial. % 0.82/1.03 (* end of lemma zenon_L261_ *) % 0.82/1.03 assert (zenon_L262_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H21f zenon_H7a zenon_H78 zenon_H17b zenon_H1de zenon_H1dc zenon_Hd0 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H27a zenon_Hd4 zenon_Hd6 zenon_H26 zenon_H161 zenon_H1bc zenon_H1bd zenon_H1be zenon_H80 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H278 zenon_H14d zenon_H22f zenon_H123 zenon_H148 zenon_H182 zenon_H183 zenon_H184 zenon_H18d zenon_H11f zenon_H11c zenon_H13c zenon_H13e zenon_H105 zenon_H104 zenon_H103 zenon_H128. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L258_); trivial. % 0.82/1.03 apply (zenon_L260_); trivial. % 0.82/1.03 apply (zenon_L261_); trivial. % 0.82/1.03 (* end of lemma zenon_L262_ *) % 0.82/1.03 assert (zenon_L263_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H7a zenon_H78 zenon_H17b zenon_H27a zenon_Hd4 zenon_Hd6 zenon_H26 zenon_H80 zenon_H278 zenon_H14d zenon_H22f zenon_H148 zenon_H13c zenon_H13e zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H123 zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H18d zenon_H161 zenon_H184 zenon_H183 zenon_H182 zenon_H21f zenon_Hc8 zenon_H1cf zenon_H1d4 zenon_H1f zenon_H18b zenon_H128 zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L235_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.03 apply (zenon_L250_); trivial. % 0.82/1.03 apply (zenon_L262_); trivial. % 0.82/1.03 (* end of lemma zenon_L263_ *) % 0.82/1.03 assert (zenon_L264_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H13e zenon_H13c zenon_H148 zenon_Heb zenon_Hea zenon_Hec zenon_H22 zenon_H7a zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H123 zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H18d zenon_H161 zenon_H184 zenon_H183 zenon_H182 zenon_H21f zenon_Hc8 zenon_H1cf zenon_H1d4 zenon_H1f zenon_H18b zenon_H128 zenon_H9f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.03 apply (zenon_L250_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.03 apply (zenon_L104_); trivial. % 0.82/1.03 apply (zenon_L221_); trivial. % 0.82/1.03 apply (zenon_L260_); trivial. % 0.82/1.03 (* end of lemma zenon_L264_ *) % 0.82/1.03 assert (zenon_L265_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H131 zenon_H192 zenon_H18b zenon_H1f zenon_H1cf zenon_Hc8 zenon_H18d zenon_H7a zenon_H22 zenon_H1d7 zenon_Hba zenon_H1fb zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H123 zenon_H11f zenon_H161 zenon_H21f zenon_H11c zenon_H1d4 zenon_H148 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9 zenon_H128 zenon_H9f zenon_H103 zenon_H104 zenon_H105 zenon_H276 zenon_H1b5 zenon_H26 zenon_H80 zenon_H278 zenon_H13e zenon_H13c zenon_H209. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.03 apply (zenon_L244_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L226_); trivial. % 0.82/1.03 apply (zenon_L264_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L235_); trivial. % 0.82/1.03 apply (zenon_L264_); trivial. % 0.82/1.03 (* end of lemma zenon_L265_ *) % 0.82/1.03 assert (zenon_L266_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (~(hskp18)) -> ((hskp20)\/(hskp18)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H77 zenon_H8c zenon_H7e zenon_H8a zenon_Hd7 zenon_Hd9. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.03 apply (zenon_L55_); trivial. % 0.82/1.03 apply (zenon_L34_); trivial. % 0.82/1.03 (* end of lemma zenon_L266_ *) % 0.82/1.03 assert (zenon_L267_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H124 zenon_H77 zenon_H8c zenon_H7e zenon_H8a zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_H1f9 zenon_H17c zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_Hb4. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Hb5 ]. % 0.82/1.03 apply (zenon_L40_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Haa | zenon_intro zenon_He ]. % 0.82/1.03 apply (zenon_L143_); trivial. % 0.82/1.03 exact (zenon_Hd zenon_He). % 0.82/1.03 apply (zenon_L34_); trivial. % 0.82/1.03 (* end of lemma zenon_L267_ *) % 0.82/1.03 assert (zenon_L268_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((hskp20)\/(hskp18)) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H128 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_H1f9 zenon_H17c zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_Hb4 zenon_Hd9 zenon_H8a zenon_H7e zenon_H8c zenon_H77. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L266_); trivial. % 0.82/1.03 apply (zenon_L267_); trivial. % 0.82/1.03 (* end of lemma zenon_L268_ *) % 0.82/1.03 assert (zenon_L269_ : ((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> (~(c3_1 (a1356))) -> (c0_1 (a1356)) -> (c1_1 (a1356)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H3d zenon_H17b zenon_H17e zenon_H17c zenon_H43 zenon_H44 zenon_H45 zenon_H27a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.82/1.03 apply (zenon_L253_); trivial. % 0.82/1.03 apply (zenon_L99_); trivial. % 0.82/1.03 (* end of lemma zenon_L269_ *) % 0.82/1.03 assert (zenon_L270_ : ((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H7b zenon_H78 zenon_H17b zenon_H17e zenon_H17c zenon_H27a zenon_Hd4 zenon_Hd6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H12. zenon_intro zenon_H7c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H44. zenon_intro zenon_H7d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H45. zenon_intro zenon_H43. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.82/1.03 apply (zenon_L52_); trivial. % 0.82/1.03 apply (zenon_L269_); trivial. % 0.82/1.03 (* end of lemma zenon_L270_ *) % 0.82/1.03 assert (zenon_L271_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp28)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c1_1 (a1339)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H148 zenon_Hff zenon_H161 zenon_Hf3 zenon_He4 zenon_Hdb zenon_Hdc zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.03 apply (zenon_L140_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.03 apply (zenon_L232_); trivial. % 0.82/1.03 apply (zenon_L198_); trivial. % 0.82/1.03 (* end of lemma zenon_L271_ *) % 0.82/1.03 assert (zenon_L272_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H124 zenon_H123 zenon_H11f zenon_H11c zenon_H91 zenon_H90 zenon_H8f zenon_H105 zenon_H104 zenon_H103 zenon_H161 zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H148. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_L271_); trivial. % 0.82/1.03 apply (zenon_L68_); trivial. % 0.82/1.03 (* end of lemma zenon_L272_ *) % 0.82/1.03 assert (zenon_L273_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H9a zenon_H128 zenon_H11f zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H148 zenon_H123 zenon_H22f zenon_H14d zenon_H17c zenon_H17e zenon_H161 zenon_H1bc zenon_H1bd zenon_H1be zenon_H21f zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H1d4 zenon_Hd6 zenon_Hd4 zenon_H27a zenon_H17b zenon_H78 zenon_H7a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_L230_); trivial. % 0.82/1.03 apply (zenon_L211_); trivial. % 0.82/1.03 apply (zenon_L270_); trivial. % 0.82/1.03 apply (zenon_L272_); trivial. % 0.82/1.03 (* end of lemma zenon_L273_ *) % 0.82/1.03 assert (zenon_L274_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp13)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H209 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H26 zenon_H80 zenon_H278 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H9f zenon_H11f zenon_Hf3 zenon_H148 zenon_H123 zenon_H22f zenon_H14d zenon_H17e zenon_H161 zenon_H21f zenon_H11c zenon_H1d4 zenon_Hd6 zenon_Hd4 zenon_H27a zenon_H17b zenon_H78 zenon_H7a zenon_H77 zenon_H8c zenon_Hd9 zenon_Hb4 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H17c zenon_H1f9 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H128 zenon_H1fb zenon_Hba zenon_H1d7. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L226_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.03 apply (zenon_L268_); trivial. % 0.82/1.03 apply (zenon_L273_); trivial. % 0.82/1.03 apply (zenon_L145_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L235_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L258_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_L271_); trivial. % 0.82/1.03 apply (zenon_L211_); trivial. % 0.82/1.03 apply (zenon_L270_); trivial. % 0.82/1.03 apply (zenon_L273_); trivial. % 0.82/1.03 (* end of lemma zenon_L274_ *) % 0.82/1.03 assert (zenon_L275_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H9f zenon_H128 zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H148 zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H21f zenon_H182 zenon_H183 zenon_H184 zenon_H161 zenon_H18d zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H8c zenon_H77. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.03 apply (zenon_L228_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L249_); trivial. % 0.82/1.03 apply (zenon_L272_); trivial. % 0.82/1.03 (* end of lemma zenon_L275_ *) % 0.82/1.03 assert (zenon_L276_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H7a zenon_H78 zenon_H17b zenon_H27a zenon_Hd4 zenon_Hd6 zenon_H26 zenon_H80 zenon_H278 zenon_H14d zenon_H22f zenon_H13c zenon_H13e zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H123 zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H18d zenon_H161 zenon_H184 zenon_H183 zenon_H182 zenon_H21f zenon_Hc8 zenon_H1cf zenon_H1d4 zenon_H148 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_H128 zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L235_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.03 apply (zenon_L275_); trivial. % 0.82/1.03 apply (zenon_L262_); trivial. % 0.82/1.03 (* end of lemma zenon_L276_ *) % 0.82/1.03 assert (zenon_L277_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((hskp20)\/(hskp18)) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H128 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_Hec zenon_Heb zenon_Hea zenon_Hb4 zenon_Hd9 zenon_H8a zenon_H7e zenon_H8c zenon_H77. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L266_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.03 apply (zenon_L61_); trivial. % 0.82/1.03 apply (zenon_L34_); trivial. % 0.82/1.03 (* end of lemma zenon_L277_ *) % 0.82/1.03 assert (zenon_L278_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H11e zenon_H11f zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_Hea zenon_Heb zenon_Hec zenon_H13c zenon_H13e zenon_Hf3 zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H91 zenon_H90 zenon_H8f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.82/1.03 apply (zenon_L65_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.82/1.03 apply (zenon_L223_); trivial. % 0.82/1.03 apply (zenon_L67_); trivial. % 0.82/1.03 (* end of lemma zenon_L278_ *) % 0.82/1.03 assert (zenon_L279_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (ndr1_0) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1334))) -> (c2_1 (a1334)) -> (c3_1 (a1334)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H123 zenon_H11f zenon_H13c zenon_H13e zenon_Hea zenon_Heb zenon_Hec zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_H161 zenon_H12 zenon_H1bc zenon_H1bd zenon_H1be zenon_Hd7 zenon_H21f zenon_H103 zenon_H104 zenon_H105 zenon_H8f zenon_H90 zenon_H91 zenon_H11c zenon_H1d4. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_L230_); trivial. % 0.82/1.03 apply (zenon_L278_); trivial. % 0.82/1.03 (* end of lemma zenon_L279_ *) % 0.82/1.03 assert (zenon_L280_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp28)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c1_1 (a1339)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H148 zenon_Hff zenon_H161 zenon_Hf3 zenon_He4 zenon_Hdb zenon_Hdc zenon_Hec zenon_Heb zenon_Hea zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.03 apply (zenon_L140_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.03 apply (zenon_L232_); trivial. % 0.82/1.03 apply (zenon_L60_); trivial. % 0.82/1.03 (* end of lemma zenon_L280_ *) % 0.82/1.03 assert (zenon_L281_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> ((hskp20)\/(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H9f zenon_H1f9 zenon_H17c zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H148 zenon_H1d4 zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H21f zenon_H1be zenon_H1bd zenon_H1bc zenon_H161 zenon_H13e zenon_H13c zenon_H11f zenon_H123 zenon_H77 zenon_H8c zenon_H8a zenon_Hd9 zenon_Hb4 zenon_Hea zenon_Heb zenon_Hec zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H128. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.03 apply (zenon_L277_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L279_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_L280_); trivial. % 0.82/1.03 apply (zenon_L240_); trivial. % 0.82/1.03 (* end of lemma zenon_L281_ *) % 0.82/1.03 assert (zenon_L282_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H124 zenon_H123 zenon_H103 zenon_H104 zenon_H105 zenon_Had zenon_Hac zenon_Hab zenon_H13e zenon_H13c zenon_H11c zenon_H11f zenon_H161 zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_Hec zenon_Heb zenon_Hea zenon_H148. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_L280_); trivial. % 0.82/1.03 apply (zenon_L242_); trivial. % 0.82/1.03 (* end of lemma zenon_L282_ *) % 0.82/1.03 assert (zenon_L283_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H11e zenon_Hf3 zenon_H13c zenon_H13e zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_Hec zenon_Heb zenon_Hea zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.82/1.03 apply (zenon_L239_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.82/1.03 apply (zenon_L59_); trivial. % 0.82/1.03 apply (zenon_L40_); trivial. % 0.82/1.03 (* end of lemma zenon_L283_ *) % 0.82/1.03 assert (zenon_L284_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (ndr1_0) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_Hec zenon_Heb zenon_Hea zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H11c zenon_H11f zenon_H18d zenon_H161 zenon_H184 zenon_H183 zenon_H182 zenon_H12 zenon_H1bc zenon_H1bd zenon_H1be zenon_Hd7 zenon_H21f zenon_Hc8 zenon_H1cf zenon_H1d4. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_L248_); trivial. % 0.82/1.03 apply (zenon_L283_); trivial. % 0.82/1.03 (* end of lemma zenon_L284_ *) % 0.82/1.03 assert (zenon_L285_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H128 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_Hec zenon_Heb zenon_Hea zenon_Hb4 zenon_Hd9 zenon_H8c zenon_H77 zenon_H123 zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H11c zenon_H11f zenon_H18d zenon_H161 zenon_H184 zenon_H183 zenon_H182 zenon_H21f zenon_Hc8 zenon_H1cf zenon_H1d4 zenon_H148 zenon_H9f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.03 apply (zenon_L277_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L284_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.03 apply (zenon_L140_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.03 apply (zenon_L259_); trivial. % 0.82/1.03 apply (zenon_L60_); trivial. % 0.82/1.03 apply (zenon_L278_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L284_); trivial. % 0.82/1.03 apply (zenon_L260_); trivial. % 0.82/1.03 (* end of lemma zenon_L285_ *) % 0.82/1.03 assert (zenon_L286_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H131 zenon_H192 zenon_H1cf zenon_Hc8 zenon_H18d zenon_H1d7 zenon_Hba zenon_H1fb zenon_H128 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_Hb4 zenon_Hd9 zenon_H8c zenon_H77 zenon_H123 zenon_H11f zenon_H13c zenon_H13e zenon_H161 zenon_H21f zenon_H11c zenon_H1d4 zenon_H148 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9 zenon_H9f zenon_H103 zenon_H104 zenon_H105 zenon_H276 zenon_H1b5 zenon_H26 zenon_H80 zenon_H278 zenon_H209. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L226_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.03 apply (zenon_L281_); trivial. % 0.82/1.03 apply (zenon_L145_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L235_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.03 apply (zenon_L281_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L241_); trivial. % 0.82/1.03 apply (zenon_L282_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.03 apply (zenon_L279_); trivial. % 0.82/1.03 apply (zenon_L282_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L226_); trivial. % 0.82/1.03 apply (zenon_L285_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L235_); trivial. % 0.82/1.03 apply (zenon_L285_); trivial. % 0.82/1.03 (* end of lemma zenon_L286_ *) % 0.82/1.04 assert (zenon_L287_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp23)) -> (~(hskp22)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp25)) -> (~(hskp14)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H123 zenon_H24a zenon_H248 zenon_H1d zenon_H7e zenon_H80 zenon_H20a zenon_H1f5 zenon_H20c. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.04 apply (zenon_L151_); trivial. % 0.82/1.04 apply (zenon_L201_); trivial. % 0.82/1.04 (* end of lemma zenon_L287_ *) % 0.82/1.04 assert (zenon_L288_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp18)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H278 zenon_H1a1 zenon_H1a0 zenon_H1d8 zenon_H1a9 zenon_H12 zenon_Hb zenon_Hd7. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1aa | zenon_intro zenon_H279 ]. % 0.82/1.04 apply (zenon_L131_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_Hc | zenon_intro zenon_Hd8 ]. % 0.82/1.04 exact (zenon_Hb zenon_Hc). % 0.82/1.04 exact (zenon_Hd7 zenon_Hd8). % 0.82/1.04 (* end of lemma zenon_L288_ *) % 0.82/1.04 assert (zenon_L289_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c3_1 (a1359))) -> (~(c1_1 (a1359))) -> (~(c0_1 (a1359))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp18)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H246 zenon_H255 zenon_H254 zenon_H253 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H278 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_Hb zenon_Hd7. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H23d | zenon_intro zenon_H247 ]. % 0.82/1.04 apply (zenon_L193_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d8 ]. % 0.82/1.04 apply (zenon_L45_); trivial. % 0.82/1.04 apply (zenon_L288_); trivial. % 0.82/1.04 (* end of lemma zenon_L289_ *) % 0.82/1.04 assert (zenon_L290_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp22)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c0_1 (a1359))) -> (~(c1_1 (a1359))) -> (~(c3_1 (a1359))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H11e zenon_H26 zenon_H22f zenon_H14d zenon_H1d zenon_H7e zenon_H80 zenon_H253 zenon_H254 zenon_H255 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_Hd7 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.82/1.04 apply (zenon_L289_); trivial. % 0.82/1.04 apply (zenon_L251_); trivial. % 0.82/1.04 (* end of lemma zenon_L290_ *) % 0.82/1.04 assert (zenon_L291_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp22)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c0_1 (a1359))) -> (~(c1_1 (a1359))) -> (~(c3_1 (a1359))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp25)) -> (~(hskp14)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H123 zenon_H26 zenon_H22f zenon_H14d zenon_H1d zenon_H7e zenon_H80 zenon_H253 zenon_H254 zenon_H255 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_Hd7 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H20a zenon_H1f5 zenon_H20c. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.04 apply (zenon_L151_); trivial. % 0.82/1.04 apply (zenon_L290_); trivial. % 0.82/1.04 (* end of lemma zenon_L291_ *) % 0.82/1.04 assert (zenon_L292_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> (~(hskp14)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H7a zenon_H78 zenon_H17b zenon_H1de zenon_H1dc zenon_Hd0 zenon_H27a zenon_Hd4 zenon_Hd6 zenon_H224 zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H1be zenon_H1bd zenon_H1bc zenon_Hd7 zenon_H21f zenon_H20c zenon_H1f5 zenon_H80 zenon_H7e zenon_H24a zenon_H123 zenon_H26 zenon_H22f zenon_H14d zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H261. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H20a | zenon_intro zenon_H221 ]. % 0.82/1.04 apply (zenon_L287_); trivial. % 0.82/1.04 apply (zenon_L158_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H20a | zenon_intro zenon_H221 ]. % 0.82/1.04 apply (zenon_L291_); trivial. % 0.82/1.04 apply (zenon_L158_); trivial. % 0.82/1.04 apply (zenon_L257_); trivial. % 0.82/1.04 (* end of lemma zenon_L292_ *) % 0.82/1.04 assert (zenon_L293_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> (~(hskp14)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H7a zenon_H78 zenon_H17b zenon_H1de zenon_H1dc zenon_Hd0 zenon_H27a zenon_Hd4 zenon_Hd6 zenon_H224 zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H1be zenon_H1bd zenon_H1bc zenon_H21f zenon_H20c zenon_H1f5 zenon_H80 zenon_H24a zenon_H123 zenon_H26 zenon_H22f zenon_H14d zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H261 zenon_H148 zenon_H182 zenon_H183 zenon_H184 zenon_H161 zenon_H18d zenon_H11f zenon_H11c zenon_H13c zenon_H13e zenon_H105 zenon_H104 zenon_H103 zenon_H128. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.04 apply (zenon_L292_); trivial. % 0.82/1.04 apply (zenon_L260_); trivial. % 0.82/1.04 apply (zenon_L261_); trivial. % 0.82/1.04 (* end of lemma zenon_L293_ *) % 0.82/1.04 assert (zenon_L294_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp22)) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (ndr1_0) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H261 zenon_H25d zenon_H1 zenon_H123 zenon_H16c zenon_H17c zenon_H17e zenon_H24a zenon_H1d zenon_H91 zenon_H90 zenon_H8f zenon_H12 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_H17b. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.04 apply (zenon_L191_); trivial. % 0.82/1.04 apply (zenon_L98_); trivial. % 0.82/1.04 apply (zenon_L99_); trivial. % 0.82/1.04 apply (zenon_L194_); trivial. % 0.82/1.04 (* end of lemma zenon_L294_ *) % 0.82/1.04 assert (zenon_L295_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (ndr1_0) -> (~(c1_1 (a1370))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c3_1 (a1370))) -> (c2_1 (a1370)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H11f zenon_H105 zenon_H104 zenon_H103 zenon_H91 zenon_H90 zenon_H8f zenon_H12 zenon_H66 zenon_H23d zenon_H51 zenon_H53. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.82/1.04 apply (zenon_L65_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.82/1.04 apply (zenon_L36_); trivial. % 0.82/1.04 apply (zenon_L183_); trivial. % 0.82/1.04 (* end of lemma zenon_L295_ *) % 0.82/1.04 assert (zenon_L296_ : ((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c0_1 (a1334))) -> (c2_1 (a1334)) -> (c3_1 (a1334)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H62 zenon_H246 zenon_H8f zenon_H90 zenon_H91 zenon_H103 zenon_H104 zenon_H105 zenon_H11f zenon_Hc1 zenon_Hc0 zenon_Hbf. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H12. zenon_intro zenon_H64. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H53. zenon_intro zenon_H65. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H66. zenon_intro zenon_H51. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H23d | zenon_intro zenon_H247 ]. % 0.82/1.04 apply (zenon_L295_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d8 ]. % 0.82/1.04 apply (zenon_L45_); trivial. % 0.82/1.04 apply (zenon_L185_); trivial. % 0.82/1.04 (* end of lemma zenon_L296_ *) % 0.82/1.04 assert (zenon_L297_ : ((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1334))) -> (c2_1 (a1334)) -> (c3_1 (a1334)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H7b zenon_H79 zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H103 zenon_H104 zenon_H105 zenon_H8f zenon_H90 zenon_H91 zenon_H11f zenon_Hd zenon_H4e. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H12. zenon_intro zenon_H7c. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H44. zenon_intro zenon_H7d. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H45. zenon_intro zenon_H43. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H4c | zenon_intro zenon_H62 ]. % 0.82/1.04 apply (zenon_L21_); trivial. % 0.82/1.04 apply (zenon_L296_); trivial. % 0.82/1.04 (* end of lemma zenon_L297_ *) % 0.82/1.04 assert (zenon_L298_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H9a zenon_H77 zenon_H11c zenon_H261 zenon_H25d zenon_H1 zenon_H123 zenon_H16c zenon_H17c zenon_H17e zenon_H24a zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_H17b zenon_H4e zenon_H11f zenon_H105 zenon_H104 zenon_H103 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H79 zenon_H7a. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.04 apply (zenon_L294_); trivial. % 0.82/1.04 apply (zenon_L297_); trivial. % 0.82/1.04 apply (zenon_L69_); trivial. % 0.82/1.04 (* end of lemma zenon_L298_ *) % 0.82/1.04 assert (zenon_L299_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H9f zenon_H11c zenon_H261 zenon_H25d zenon_H1 zenon_H17c zenon_H17e zenon_H24a zenon_H101 zenon_H11f zenon_H105 zenon_H104 zenon_H103 zenon_H7a zenon_H79 zenon_H78 zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H1cf zenon_Hc8 zenon_H214 zenon_H123 zenon_H16c zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_Hf zenon_H80 zenon_H161 zenon_H26 zenon_H17b zenon_H4e zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H8c zenon_H77. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.04 apply (zenon_L188_); trivial. % 0.82/1.04 apply (zenon_L298_); trivial. % 0.82/1.04 (* end of lemma zenon_L299_ *) % 0.82/1.04 assert (zenon_L300_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(hskp14)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H1d7 zenon_Hba zenon_H1fb zenon_H77 zenon_H8c zenon_H4e zenon_H17b zenon_H26 zenon_H161 zenon_H80 zenon_Hf zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H16c zenon_H123 zenon_H214 zenon_Hc8 zenon_H1cf zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H78 zenon_H79 zenon_H7a zenon_H11f zenon_H101 zenon_H24a zenon_H17e zenon_H17c zenon_H1 zenon_H25d zenon_H261 zenon_H11c zenon_H9f zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H1f5 zenon_H276. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.04 apply (zenon_L226_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.04 apply (zenon_L299_); trivial. % 0.82/1.04 apply (zenon_L145_); trivial. % 0.82/1.04 (* end of lemma zenon_L300_ *) % 0.82/1.04 assert (zenon_L301_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp27)) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> (~(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H11e zenon_H26 zenon_H16c zenon_H169 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H7e zenon_H80 zenon_H1fd zenon_H1fe zenon_H1ff zenon_Hd7 zenon_H278. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.82/1.04 apply (zenon_L236_); trivial. % 0.82/1.04 apply (zenon_L178_); trivial. % 0.82/1.04 (* end of lemma zenon_L301_ *) % 0.82/1.04 assert (zenon_L302_ : ((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> (~(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H178 zenon_H26 zenon_H80 zenon_H7e zenon_H1fd zenon_H1fe zenon_H1ff zenon_Hd7 zenon_H278. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.82/1.04 apply (zenon_L236_); trivial. % 0.82/1.04 apply (zenon_L180_); trivial. % 0.82/1.04 (* end of lemma zenon_L302_ *) % 0.82/1.04 assert (zenon_L303_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1330)) -> (~(c2_1 (a1330))) -> (~(c1_1 (a1330))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(hskp18)) -> ((hskp20)\/(hskp18)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H77 zenon_H17b zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H278 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H80 zenon_H7e zenon_H16c zenon_H26 zenon_H123 zenon_Hd7 zenon_Hd9. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.04 apply (zenon_L55_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.04 apply (zenon_L64_); trivial. % 0.82/1.04 apply (zenon_L301_); trivial. % 0.82/1.04 apply (zenon_L302_); trivial. % 0.82/1.04 (* end of lemma zenon_L303_ *) % 0.82/1.04 assert (zenon_L304_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1339)) -> (~(c2_1 (a1339))) -> (~(c0_1 (a1339))) -> (~(hskp23)) -> (~(hskp22)) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H148 zenon_He4 zenon_Hdc zenon_Hdb zenon_H248 zenon_H1d zenon_H19e zenon_H13c zenon_H13e zenon_H24a zenon_H12 zenon_Hab zenon_Hac zenon_Had. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.04 apply (zenon_L140_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.04 apply (zenon_L216_); trivial. % 0.82/1.04 apply (zenon_L41_); trivial. % 0.82/1.04 (* end of lemma zenon_L304_ *) % 0.82/1.04 assert (zenon_L305_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (ndr1_0) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (c1_1 (a1339)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp22)) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H261 zenon_H25d zenon_H1 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H12 zenon_Hdb zenon_Hdc zenon_He4 zenon_H24a zenon_H1d zenon_H13e zenon_H13c zenon_H19e zenon_Hab zenon_Hac zenon_Had zenon_H148. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.82/1.04 apply (zenon_L304_); trivial. % 0.82/1.04 apply (zenon_L194_); trivial. % 0.82/1.04 (* end of lemma zenon_L305_ *) % 0.82/1.04 assert (zenon_L306_ : ((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H7b zenon_H79 zenon_H78 zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H1cf zenon_Hc8 zenon_H214 zenon_H123 zenon_H16c zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_Hf zenon_H80 zenon_H7e zenon_H1be zenon_H1bd zenon_H1bc zenon_H161 zenon_H26 zenon_H17b zenon_Hd zenon_H4e. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H12. zenon_intro zenon_H7c. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H44. zenon_intro zenon_H7d. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H45. zenon_intro zenon_H43. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H4c | zenon_intro zenon_H62 ]. % 0.82/1.04 apply (zenon_L21_); trivial. % 0.82/1.04 apply (zenon_L187_); trivial. % 0.82/1.04 (* end of lemma zenon_L306_ *) % 0.82/1.04 assert (zenon_L307_ : ((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c1_1 (a1339)) -> (~(c2_1 (a1339))) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H72 zenon_H123 zenon_H103 zenon_H104 zenon_H105 zenon_H148 zenon_Had zenon_Hac zenon_Hab zenon_H13e zenon_H13c zenon_H11c zenon_H11f zenon_He4 zenon_Hdc zenon_Hdb zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.04 apply (zenon_L64_); trivial. % 0.82/1.04 apply (zenon_L242_); trivial. % 0.82/1.04 (* end of lemma zenon_L307_ *) % 0.82/1.04 assert (zenon_L308_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((hskp20)\/(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H209 zenon_H278 zenon_Hd9 zenon_H148 zenon_H19e zenon_H13c zenon_H13e zenon_H128 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H9f zenon_H11c zenon_H261 zenon_H25d zenon_H1 zenon_H17c zenon_H17e zenon_H24a zenon_H101 zenon_H11f zenon_H7a zenon_H79 zenon_H78 zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H1cf zenon_Hc8 zenon_H214 zenon_H123 zenon_H16c zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_Hf zenon_H80 zenon_H161 zenon_H26 zenon_H17b zenon_H4e zenon_H8c zenon_H77 zenon_H1fb zenon_Hba zenon_H1d7. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.04 apply (zenon_L300_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.04 apply (zenon_L235_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.04 apply (zenon_L299_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.04 apply (zenon_L303_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.04 apply (zenon_L305_); trivial. % 0.82/1.04 apply (zenon_L306_); trivial. % 0.82/1.04 apply (zenon_L307_); trivial. % 0.82/1.04 apply (zenon_L298_); trivial. % 0.82/1.04 (* end of lemma zenon_L308_ *) % 0.82/1.04 assert (zenon_L309_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((hskp20)\/(hskp18)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H128 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_Hd9 zenon_H123 zenon_H26 zenon_H16c zenon_H7e zenon_H80 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H278 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_H17b zenon_H77. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.04 apply (zenon_L303_); trivial. % 0.82/1.04 apply (zenon_L160_); trivial. % 0.82/1.04 (* end of lemma zenon_L309_ *) % 0.82/1.04 assert (zenon_L310_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(hskp18)) -> ((hskp20)\/(hskp18)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H77 zenon_H123 zenon_H11f zenon_H11c zenon_H91 zenon_H90 zenon_H8f zenon_H105 zenon_H104 zenon_H103 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_Hd7 zenon_Hd9. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.04 apply (zenon_L55_); trivial. % 0.82/1.04 apply (zenon_L69_); trivial. % 0.82/1.04 (* end of lemma zenon_L310_ *) % 0.82/1.04 assert (zenon_L311_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H9a zenon_H128 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_Hd9 zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H77. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.04 apply (zenon_L310_); trivial. % 0.82/1.04 apply (zenon_L160_); trivial. % 0.82/1.04 (* end of lemma zenon_L311_ *) % 0.82/1.04 assert (zenon_L312_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H206 zenon_H9f zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H77 zenon_H17b zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H278 zenon_H80 zenon_H16c zenon_H26 zenon_H123 zenon_Hd9 zenon_H182 zenon_H183 zenon_H184 zenon_H1f zenon_H18b zenon_H128. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.04 apply (zenon_L309_); trivial. % 0.82/1.04 apply (zenon_L311_); trivial. % 0.82/1.04 (* end of lemma zenon_L312_ *) % 0.82/1.04 assert (zenon_L313_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((hskp20)\/(hskp18)) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H128 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_Hd9 zenon_H8a zenon_H7e zenon_H8c zenon_H77. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.04 apply (zenon_L266_); trivial. % 0.82/1.04 apply (zenon_L160_); trivial. % 0.82/1.04 (* end of lemma zenon_L313_ *) % 0.82/1.04 assert (zenon_L314_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> ((hskp20)\/(hskp18)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H9f zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H77 zenon_H8c zenon_H8a zenon_Hd9 zenon_H182 zenon_H183 zenon_H184 zenon_H1f zenon_H18b zenon_H128. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.04 apply (zenon_L313_); trivial. % 0.82/1.04 apply (zenon_L311_); trivial. % 0.82/1.04 (* end of lemma zenon_L314_ *) % 0.82/1.04 assert (zenon_L315_ : ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1328)) -> (c2_1 (a1328)) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74)))))) -> (c0_1 (a1328)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20)))))) -> (c1_1 (a1325)) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H80 zenon_H110 zenon_H10f zenon_H162 zenon_H10d zenon_Hec zenon_Hea zenon_H136 zenon_Heb zenon_H12 zenon_H7e. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ]. % 0.82/1.04 apply (zenon_L90_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H13 | zenon_intro zenon_H7f ]. % 0.82/1.04 apply (zenon_L101_); trivial. % 0.82/1.04 exact (zenon_H7e zenon_H7f). % 0.82/1.04 (* end of lemma zenon_L315_ *) % 0.82/1.04 assert (zenon_L316_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp17)) -> (c1_1 (a1325)) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20)))))) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H16c zenon_H7e zenon_Heb zenon_H136 zenon_Hea zenon_Hec zenon_H10d zenon_H10f zenon_H110 zenon_H80 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H12 zenon_H169. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H162 | zenon_intro zenon_H16e ]. % 0.82/1.04 apply (zenon_L315_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H16a ]. % 0.82/1.04 apply (zenon_L62_); trivial. % 0.82/1.04 exact (zenon_H169 zenon_H16a). % 0.82/1.04 (* end of lemma zenon_L316_ *) % 0.82/1.04 assert (zenon_L317_ : ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c2_1 (a1307)) -> (c1_1 (a1307)) -> (c0_1 (a1307)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20)))))) -> (c1_1 (a1325)) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H80 zenon_H171 zenon_H170 zenon_H16f zenon_Hec zenon_Hea zenon_H136 zenon_Heb zenon_H12 zenon_H7e. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ]. % 0.82/1.04 apply (zenon_L93_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H13 | zenon_intro zenon_H7f ]. % 0.82/1.04 apply (zenon_L101_); trivial. % 0.82/1.04 exact (zenon_H7e zenon_H7f). % 0.82/1.04 (* end of lemma zenon_L317_ *) % 0.82/1.04 assert (zenon_L318_ : ((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp25)) -> (~(hskp14)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H178 zenon_H123 zenon_H148 zenon_Had zenon_Hac zenon_Hab zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H11c zenon_H11f zenon_Heb zenon_Hea zenon_Hec zenon_H7e zenon_H80 zenon_H20a zenon_H1f5 zenon_H20c. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.04 apply (zenon_L151_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.04 apply (zenon_L317_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.04 apply (zenon_L239_); trivial. % 0.82/1.04 apply (zenon_L41_); trivial. % 0.82/1.04 (* end of lemma zenon_L318_ *) % 0.82/1.04 assert (zenon_L319_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H18f zenon_H209 zenon_H278 zenon_H26 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H9f zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H11c zenon_H11f zenon_H123 zenon_H77 zenon_H8c zenon_Hd9 zenon_H1f zenon_H18b zenon_H128 zenon_H17b zenon_H20c zenon_H16c zenon_Heb zenon_Hea zenon_Hec zenon_H80 zenon_H13e zenon_H13c zenon_H148 zenon_H21f zenon_Hc8 zenon_H1cf zenon_H1d4 zenon_H224 zenon_Hba zenon_H1d7. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.04 apply (zenon_L226_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.04 apply (zenon_L314_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H20a | zenon_intro zenon_H221 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.04 apply (zenon_L151_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.04 apply (zenon_L316_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.04 apply (zenon_L239_); trivial. % 0.82/1.04 apply (zenon_L41_); trivial. % 0.82/1.04 apply (zenon_L318_); trivial. % 0.82/1.04 apply (zenon_L158_); trivial. % 0.82/1.04 apply (zenon_L160_); trivial. % 0.82/1.04 apply (zenon_L311_); trivial. % 0.82/1.04 apply (zenon_L312_); trivial. % 0.82/1.04 (* end of lemma zenon_L319_ *) % 0.82/1.04 assert (zenon_L320_ : ((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1321)) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H62 zenon_H78 zenon_H25d zenon_H1 zenon_H1cf zenon_Hc8 zenon_Hf8 zenon_Hf6 zenon_Hf7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H214 zenon_Hd4 zenon_Hd6. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H12. zenon_intro zenon_H64. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H53. zenon_intro zenon_H65. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H66. zenon_intro zenon_H51. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.82/1.04 apply (zenon_L52_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.82/1.04 apply (zenon_L184_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.82/1.04 apply (zenon_L62_); trivial. % 0.82/1.04 exact (zenon_H1 zenon_H2). % 0.82/1.04 (* end of lemma zenon_L320_ *) % 0.82/1.04 assert (zenon_L321_ : ((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1321)) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H7b zenon_H79 zenon_H78 zenon_H25d zenon_H1 zenon_H1cf zenon_Hc8 zenon_Hf8 zenon_Hf6 zenon_Hf7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H214 zenon_Hd4 zenon_Hd6 zenon_Hd zenon_H4e. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H12. zenon_intro zenon_H7c. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H44. zenon_intro zenon_H7d. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H45. zenon_intro zenon_H43. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H4c | zenon_intro zenon_H62 ]. % 0.82/1.04 apply (zenon_L21_); trivial. % 0.82/1.04 apply (zenon_L320_); trivial. % 0.82/1.04 (* end of lemma zenon_L321_ *) % 0.82/1.04 assert (zenon_L322_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H9a zenon_H77 zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H261 zenon_H25d zenon_H1 zenon_Hd6 zenon_Hd4 zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H24a zenon_H1cf zenon_Hc8 zenon_H1be zenon_H1bd zenon_H1bc zenon_H214 zenon_H123 zenon_H78 zenon_H4e zenon_H79 zenon_H7a. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.04 apply (zenon_L195_); trivial. % 0.82/1.04 apply (zenon_L321_); trivial. % 0.82/1.04 apply (zenon_L69_); trivial. % 0.82/1.04 (* end of lemma zenon_L322_ *) % 0.82/1.04 assert (zenon_L323_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1321)) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H9f zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H261 zenon_H101 zenon_H24a zenon_H123 zenon_H7a zenon_H79 zenon_H78 zenon_H25d zenon_H1 zenon_H1cf zenon_Hc8 zenon_Hf8 zenon_Hf6 zenon_Hf7 zenon_H214 zenon_Hd4 zenon_Hd6 zenon_H4e zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H8c zenon_H77. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H4c | zenon_intro zenon_H62 ]. % 0.82/1.04 apply (zenon_L172_); trivial. % 0.82/1.04 apply (zenon_L320_); trivial. % 0.82/1.04 apply (zenon_L34_); trivial. % 0.82/1.04 apply (zenon_L322_); trivial. % 0.82/1.04 (* end of lemma zenon_L323_ *) % 0.82/1.04 assert (zenon_L324_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H124 zenon_H77 zenon_H123 zenon_H103 zenon_H104 zenon_H105 zenon_H148 zenon_H13e zenon_H13c zenon_H11c zenon_H11f zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hab zenon_Hac zenon_Had zenon_Hb4. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.04 apply (zenon_L42_); trivial. % 0.82/1.04 apply (zenon_L307_); trivial. % 0.82/1.04 (* end of lemma zenon_L324_ *) % 0.82/1.04 assert (zenon_L325_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((hskp20)\/(hskp18)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1321)) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H209 zenon_H17b zenon_H278 zenon_H80 zenon_H16c zenon_H26 zenon_Hd9 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H9f zenon_H11f zenon_H11c zenon_H261 zenon_H101 zenon_H24a zenon_H123 zenon_H7a zenon_H79 zenon_H78 zenon_H25d zenon_H1 zenon_H1cf zenon_Hc8 zenon_Hf8 zenon_Hf6 zenon_Hf7 zenon_H214 zenon_Hd4 zenon_Hd6 zenon_H4e zenon_H8c zenon_H77 zenon_H224 zenon_H1d4 zenon_H21f zenon_H20c zenon_Hb4 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H13c zenon_H13e zenon_H148 zenon_H128 zenon_Hba zenon_H1d7. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.04 apply (zenon_L226_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.04 apply (zenon_L323_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.04 apply (zenon_L159_); trivial. % 0.82/1.04 apply (zenon_L324_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.04 apply (zenon_L235_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.04 apply (zenon_L323_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.04 apply (zenon_L303_); trivial. % 0.82/1.04 apply (zenon_L324_); trivial. % 0.82/1.04 apply (zenon_L322_); trivial. % 0.82/1.04 (* end of lemma zenon_L325_ *) % 0.82/1.04 assert (zenon_L326_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H9f zenon_H128 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_Hec zenon_Heb zenon_Hea zenon_Hb4 zenon_Hd9 zenon_H101 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H79 zenon_H78 zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H1cf zenon_Hc8 zenon_H214 zenon_H123 zenon_H16c zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_Hf zenon_H80 zenon_H161 zenon_H26 zenon_H17b zenon_H4e zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H8c zenon_H77. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.04 apply (zenon_L188_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.04 apply (zenon_L310_); trivial. % 0.82/1.04 apply (zenon_L70_); trivial. % 0.82/1.04 (* end of lemma zenon_L326_ *) % 0.82/1.04 assert (zenon_L327_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H124 zenon_H77 zenon_H123 zenon_H103 zenon_H104 zenon_H105 zenon_H148 zenon_Had zenon_Hac zenon_Hab zenon_H13e zenon_H13c zenon_H11c zenon_H11f zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_Hec zenon_Heb zenon_Hea zenon_Hb4. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.04 apply (zenon_L61_); trivial. % 0.82/1.04 apply (zenon_L307_); trivial. % 0.82/1.04 (* end of lemma zenon_L327_ *) % 0.82/1.04 assert (zenon_L328_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H9a zenon_H128 zenon_H261 zenon_H25d zenon_H1 zenon_H24a zenon_H13e zenon_H13c zenon_H19e zenon_Hab zenon_Hac zenon_Had zenon_H148 zenon_H4e zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H79 zenon_H7a zenon_Hd9 zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H77. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.04 apply (zenon_L310_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.04 apply (zenon_L305_); trivial. % 0.82/1.04 apply (zenon_L297_); trivial. % 0.82/1.04 apply (zenon_L69_); trivial. % 0.82/1.04 (* end of lemma zenon_L328_ *) % 0.82/1.04 assert (zenon_L329_ : ((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((hskp26)\/(hskp12)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((hskp20)\/(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_Hf3 zenon_Hb4 zenon_H192 zenon_H224 zenon_H1d4 zenon_H21f zenon_Hd6 zenon_H20c zenon_H18b zenon_H1d7 zenon_Hba zenon_H1fb zenon_H77 zenon_H8c zenon_H4e zenon_H17b zenon_H26 zenon_H161 zenon_H80 zenon_Hf zenon_H16c zenon_H123 zenon_H214 zenon_Hc8 zenon_H1cf zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H78 zenon_H79 zenon_H7a zenon_H11f zenon_H101 zenon_H24a zenon_H17e zenon_H1 zenon_H25d zenon_H261 zenon_H11c zenon_H9f zenon_H103 zenon_H104 zenon_H105 zenon_H276 zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H128 zenon_H13e zenon_H13c zenon_H19e zenon_H148 zenon_Hd9 zenon_H278 zenon_H209 zenon_H129. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.04 apply (zenon_L308_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.04 apply (zenon_L226_); trivial. % 0.82/1.04 apply (zenon_L161_); trivial. % 0.82/1.04 apply (zenon_L312_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.04 apply (zenon_L308_); trivial. % 0.82/1.04 apply (zenon_L319_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.82/1.04 apply (zenon_L325_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.04 apply (zenon_L226_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.04 apply (zenon_L326_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H20a | zenon_intro zenon_H221 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.04 apply (zenon_L151_); trivial. % 0.82/1.04 apply (zenon_L283_); trivial. % 0.82/1.04 apply (zenon_L158_); trivial. % 0.82/1.04 apply (zenon_L327_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.04 apply (zenon_L235_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.04 apply (zenon_L326_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.04 apply (zenon_L303_); trivial. % 0.82/1.04 apply (zenon_L327_); trivial. % 0.82/1.04 apply (zenon_L328_); trivial. % 0.82/1.04 (* end of lemma zenon_L329_ *) % 0.82/1.04 assert (zenon_L330_ : ((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(c1_1 (a1315))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp26)\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((hskp20)\/(hskp18)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Hca zenon_H12a zenon_Hf zenon_H16c zenon_H214 zenon_H101 zenon_H1 zenon_H25d zenon_H19e zenon_H129 zenon_H22 zenon_H209 zenon_H13c zenon_H13e zenon_H278 zenon_H80 zenon_H26 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H9f zenon_H128 zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H148 zenon_H1d4 zenon_H11c zenon_H21f zenon_H161 zenon_H11f zenon_H123 zenon_H79 zenon_H1de zenon_H1dc zenon_H4e zenon_H8c zenon_H77 zenon_H1fb zenon_Hba zenon_H1d7 zenon_H7a zenon_H78 zenon_H17b zenon_H27a zenon_Hd6 zenon_H224 zenon_H20c zenon_H24a zenon_H22f zenon_H14d zenon_H246 zenon_H261 zenon_H18d zenon_Hc8 zenon_H1cf zenon_H18b zenon_H192 zenon_Hb4 zenon_Hd9 zenon_H17e zenon_Hf3 zenon_Hb9. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.04 apply (zenon_L244_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.04 apply (zenon_L226_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.04 apply (zenon_L250_); trivial. % 0.82/1.04 apply (zenon_L293_); trivial. % 0.82/1.04 apply (zenon_L263_); trivial. % 0.82/1.04 apply (zenon_L265_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.04 apply (zenon_L274_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.04 apply (zenon_L226_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.04 apply (zenon_L275_); trivial. % 0.82/1.04 apply (zenon_L293_); trivial. % 0.82/1.04 apply (zenon_L276_); trivial. % 0.82/1.04 apply (zenon_L286_); trivial. % 0.82/1.04 apply (zenon_L329_); trivial. % 0.82/1.04 (* end of lemma zenon_L330_ *) % 0.82/1.04 assert (zenon_L331_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(hskp13)) -> (ndr1_0) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(hskp8)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H9b zenon_H2a zenon_H29 zenon_H28 zenon_H17c zenon_H12 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H13c zenon_H13e zenon_H1f9 zenon_H98. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.82/1.04 apply (zenon_L15_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fa ]. % 0.82/1.04 apply (zenon_L77_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1af | zenon_intro zenon_H17d ]. % 0.82/1.05 apply (zenon_L120_); trivial. % 0.82/1.05 exact (zenon_H17c zenon_H17d). % 0.82/1.05 exact (zenon_H98 zenon_H99). % 0.82/1.05 (* end of lemma zenon_L331_ *) % 0.82/1.05 assert (zenon_L332_ : ((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> (c2_1 (a1394)) -> (c0_1 (a1394)) -> (~(c3_1 (a1394))) -> (~(hskp11)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1ce zenon_H27c zenon_H218 zenon_H217 zenon_H216 zenon_H1f. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H12. zenon_intro zenon_H1d0. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1c5. zenon_intro zenon_H1d1. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1c6. zenon_intro zenon_H1c7. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H50 | zenon_intro zenon_H27d ]. % 0.82/1.05 apply (zenon_L156_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H10c | zenon_intro zenon_H20 ]. % 0.82/1.05 apply (zenon_L126_); trivial. % 0.82/1.05 exact (zenon_H1f zenon_H20). % 0.82/1.05 (* end of lemma zenon_L332_ *) % 0.82/1.05 assert (zenon_L333_ : ((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H221 zenon_H1d4 zenon_H27c zenon_H1f zenon_Hd7 zenon_H21f. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H222. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H217. zenon_intro zenon_H223. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H218. zenon_intro zenon_H216. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ce ]. % 0.82/1.05 apply (zenon_L157_); trivial. % 0.82/1.05 apply (zenon_L332_); trivial. % 0.82/1.05 (* end of lemma zenon_L333_ *) % 0.82/1.05 assert (zenon_L334_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> (~(hskp14)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp22)) -> (~(hskp23)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H224 zenon_H1d4 zenon_H27c zenon_H1f zenon_Hd7 zenon_H21f zenon_H20c zenon_H1f5 zenon_H80 zenon_H7e zenon_H1d zenon_H248 zenon_H24a zenon_H123. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H20a | zenon_intro zenon_H221 ]. % 0.82/1.05 apply (zenon_L287_); trivial. % 0.82/1.05 apply (zenon_L333_); trivial. % 0.82/1.05 (* end of lemma zenon_L334_ *) % 0.82/1.05 assert (zenon_L335_ : ((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H25c zenon_H26 zenon_H22 zenon_H1f zenon_H1d zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_Hd7 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.82/1.05 apply (zenon_L289_); trivial. % 0.82/1.05 apply (zenon_L13_); trivial. % 0.82/1.05 (* end of lemma zenon_L335_ *) % 0.82/1.05 assert (zenon_L336_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> (~(hskp14)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H7a zenon_H78 zenon_H17b zenon_H1de zenon_H1dc zenon_Hd0 zenon_H27a zenon_Hd4 zenon_Hd6 zenon_H224 zenon_H1d4 zenon_H27c zenon_H1f zenon_Hd7 zenon_H21f zenon_H20c zenon_H1f5 zenon_H80 zenon_H7e zenon_H24a zenon_H123 zenon_H246 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H278 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H22 zenon_H26 zenon_H261. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.82/1.05 apply (zenon_L334_); trivial. % 0.82/1.05 apply (zenon_L335_); trivial. % 0.82/1.05 apply (zenon_L257_); trivial. % 0.82/1.05 (* end of lemma zenon_L336_ *) % 0.82/1.05 assert (zenon_L337_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp14)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H128 zenon_H18b zenon_H184 zenon_H183 zenon_H182 zenon_H261 zenon_H26 zenon_H22 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H123 zenon_H24a zenon_H7e zenon_H80 zenon_H1f5 zenon_H20c zenon_H21f zenon_H1f zenon_H27c zenon_H1d4 zenon_H224 zenon_Hd6 zenon_Hd4 zenon_H27a zenon_Hd0 zenon_H1dc zenon_H1de zenon_H17b zenon_H78 zenon_H7a. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.05 apply (zenon_L336_); trivial. % 0.82/1.05 apply (zenon_L160_); trivial. % 0.82/1.05 (* end of lemma zenon_L337_ *) % 0.82/1.05 assert (zenon_L338_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> (ndr1_0) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> (~(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H26 zenon_H22 zenon_H1f zenon_H1d zenon_H12 zenon_H1fd zenon_H1fe zenon_H1ff zenon_Hd7 zenon_H278. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.82/1.05 apply (zenon_L236_); trivial. % 0.82/1.05 apply (zenon_L13_); trivial. % 0.82/1.05 (* end of lemma zenon_L338_ *) % 0.82/1.05 assert (zenon_L339_ : ((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> (~(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c3_1 (a1356))) -> (c0_1 (a1356)) -> (c1_1 (a1356)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H3d zenon_H17b zenon_H26 zenon_H80 zenon_H7e zenon_H1fd zenon_H1fe zenon_H1ff zenon_Hd7 zenon_H278 zenon_H43 zenon_H44 zenon_H45 zenon_H27a. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.82/1.05 apply (zenon_L253_); trivial. % 0.82/1.05 apply (zenon_L302_); trivial. % 0.82/1.05 (* end of lemma zenon_L339_ *) % 0.82/1.05 assert (zenon_L340_ : ((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> (~(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H7b zenon_H78 zenon_H17b zenon_H26 zenon_H80 zenon_H7e zenon_H1fd zenon_H1fe zenon_H1ff zenon_Hd7 zenon_H278 zenon_H27a zenon_Hd4 zenon_Hd6. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H12. zenon_intro zenon_H7c. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H44. zenon_intro zenon_H7d. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H45. zenon_intro zenon_H43. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.82/1.05 apply (zenon_L52_); trivial. % 0.82/1.05 apply (zenon_L339_); trivial. % 0.82/1.05 (* end of lemma zenon_L340_ *) % 0.82/1.05 assert (zenon_L341_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H128 zenon_H18b zenon_H184 zenon_H183 zenon_H182 zenon_H26 zenon_H22 zenon_H1f zenon_H12 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H278 zenon_Hd6 zenon_Hd4 zenon_H27a zenon_H7e zenon_H80 zenon_H17b zenon_H78 zenon_H7a. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.05 apply (zenon_L338_); trivial. % 0.82/1.05 apply (zenon_L340_); trivial. % 0.82/1.05 apply (zenon_L160_); trivial. % 0.82/1.05 (* end of lemma zenon_L341_ *) % 0.82/1.05 assert (zenon_L342_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (ndr1_0) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H192 zenon_H209 zenon_H128 zenon_H18b zenon_H261 zenon_H26 zenon_H22 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_H246 zenon_H123 zenon_H24a zenon_H80 zenon_H20c zenon_H21f zenon_H1f zenon_H27c zenon_H1d4 zenon_H224 zenon_Hd6 zenon_Hd4 zenon_H27a zenon_Hd0 zenon_H1dc zenon_H1de zenon_H17b zenon_H78 zenon_H7a zenon_H9f zenon_H12 zenon_H28 zenon_H29 zenon_H2a zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H13e zenon_H13c zenon_H98 zenon_H9b. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.05 apply (zenon_L331_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_L337_); trivial. % 0.82/1.05 apply (zenon_L38_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_L341_); trivial. % 0.82/1.05 apply (zenon_L38_); trivial. % 0.82/1.05 (* end of lemma zenon_L342_ *) % 0.82/1.05 assert (zenon_L343_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H9f zenon_H9b zenon_H98 zenon_H2a zenon_H29 zenon_H28 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H8c zenon_H77. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_L228_); trivial. % 0.82/1.05 apply (zenon_L38_); trivial. % 0.82/1.05 (* end of lemma zenon_L343_ *) % 0.82/1.05 assert (zenon_L344_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp8)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H124 zenon_H9b zenon_H2a zenon_H29 zenon_H28 zenon_Had zenon_Hac zenon_Hab zenon_H13c zenon_H13e zenon_H148 zenon_H98. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.82/1.05 apply (zenon_L15_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.82/1.05 apply (zenon_L203_); trivial. % 0.82/1.05 exact (zenon_H98 zenon_H99). % 0.82/1.05 (* end of lemma zenon_L344_ *) % 0.82/1.05 assert (zenon_L345_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp8)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H131 zenon_H9b zenon_H2a zenon_H29 zenon_H28 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H13c zenon_H13e zenon_Hf3 zenon_H98. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.82/1.05 apply (zenon_L15_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.82/1.05 apply (zenon_L223_); trivial. % 0.82/1.05 exact (zenon_H98 zenon_H99). % 0.82/1.05 (* end of lemma zenon_L345_ *) % 0.82/1.05 assert (zenon_L346_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((hskp26)\/(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (ndr1_0) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hb9 zenon_Hf3 zenon_H1cf zenon_Hc8 zenon_H14d zenon_H22f zenon_H161 zenon_H192 zenon_H209 zenon_H128 zenon_H18b zenon_H261 zenon_H26 zenon_H22 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_H246 zenon_H123 zenon_H24a zenon_H80 zenon_H20c zenon_H21f zenon_H27c zenon_H1d4 zenon_H224 zenon_Hd6 zenon_H27a zenon_Hd0 zenon_H1dc zenon_H1de zenon_H17b zenon_H78 zenon_H7a zenon_H9f zenon_H12 zenon_H28 zenon_H29 zenon_H2a zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H13e zenon_H13c zenon_H98 zenon_H9b zenon_H225 zenon_H1b5 zenon_H79 zenon_H4e zenon_H8c zenon_H77 zenon_H148 zenon_Hba zenon_H1d7 zenon_H129. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.82/1.05 apply (zenon_L342_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.05 apply (zenon_L331_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.05 apply (zenon_L163_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.05 apply (zenon_L235_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.05 apply (zenon_L343_); trivial. % 0.82/1.05 apply (zenon_L78_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.05 apply (zenon_L169_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.05 apply (zenon_L343_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.05 apply (zenon_L292_); trivial. % 0.82/1.05 apply (zenon_L344_); trivial. % 0.82/1.05 apply (zenon_L207_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.05 apply (zenon_L235_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.05 apply (zenon_L343_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.05 apply (zenon_L258_); trivial. % 0.82/1.05 apply (zenon_L344_); trivial. % 0.82/1.05 apply (zenon_L38_); trivial. % 0.82/1.05 apply (zenon_L345_); trivial. % 0.82/1.05 (* end of lemma zenon_L346_ *) % 0.82/1.05 assert (zenon_L347_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> ((hskp20)\/(hskp18)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H9f zenon_H9b zenon_H98 zenon_H2a zenon_H29 zenon_H28 zenon_H77 zenon_H8c zenon_H8a zenon_Hd9 zenon_H182 zenon_H183 zenon_H184 zenon_H1f zenon_H18b zenon_H128. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_L313_); trivial. % 0.82/1.05 apply (zenon_L38_); trivial. % 0.82/1.05 (* end of lemma zenon_L347_ *) % 0.82/1.05 assert (zenon_L348_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1b5 zenon_H1d8 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H1b3. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b6 ]. % 0.82/1.05 apply (zenon_L131_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b4 ]. % 0.82/1.05 apply (zenon_L120_); trivial. % 0.82/1.05 exact (zenon_H1b3 zenon_H1b4). % 0.82/1.05 (* end of lemma zenon_L348_ *) % 0.82/1.05 assert (zenon_L349_ : ((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp15)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H25c zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H1b3. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H23d | zenon_intro zenon_H247 ]. % 0.82/1.05 apply (zenon_L193_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d8 ]. % 0.82/1.05 apply (zenon_L45_); trivial. % 0.82/1.05 apply (zenon_L348_); trivial. % 0.82/1.05 (* end of lemma zenon_L349_ *) % 0.82/1.05 assert (zenon_L350_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> (~(hskp14)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H7a zenon_H225 zenon_H98 zenon_H224 zenon_H1d4 zenon_H27c zenon_H1f zenon_H21f zenon_H20c zenon_H1f5 zenon_H80 zenon_H24a zenon_H123 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H1b5 zenon_H1b3 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H261 zenon_H9b zenon_H13c zenon_H13e zenon_H148 zenon_H128. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.82/1.05 apply (zenon_L334_); trivial. % 0.82/1.05 apply (zenon_L349_); trivial. % 0.82/1.05 apply (zenon_L162_); trivial. % 0.82/1.05 apply (zenon_L205_); trivial. % 0.82/1.05 apply (zenon_L207_); trivial. % 0.82/1.05 (* end of lemma zenon_L350_ *) % 0.82/1.05 assert (zenon_L351_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> (~(hskp14)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hba zenon_H7a zenon_H225 zenon_H224 zenon_H1d4 zenon_H27c zenon_H21f zenon_H20c zenon_H1f5 zenon_H80 zenon_H24a zenon_H123 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H1b5 zenon_H1b3 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H261 zenon_H13c zenon_H13e zenon_H148 zenon_H128 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_Hd9 zenon_H8c zenon_H77 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.05 apply (zenon_L347_); trivial. % 0.82/1.05 apply (zenon_L350_); trivial. % 0.82/1.05 (* end of lemma zenon_L351_ *) % 0.82/1.05 assert (zenon_L352_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H9f zenon_H9b zenon_H98 zenon_H2a zenon_H29 zenon_H28 zenon_H79 zenon_H78 zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H1cf zenon_Hc8 zenon_H214 zenon_H123 zenon_H16c zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_Hf zenon_H80 zenon_H161 zenon_H26 zenon_H17b zenon_H4e zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H8c zenon_H77. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_L188_); trivial. % 0.82/1.05 apply (zenon_L38_); trivial. % 0.82/1.05 (* end of lemma zenon_L352_ *) % 0.82/1.05 assert (zenon_L353_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp20)\/(hskp18)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H7a zenon_H225 zenon_H1f5 zenon_H24a zenon_H101 zenon_H1 zenon_H25d zenon_H261 zenon_Hd9 zenon_H13c zenon_H13e zenon_H148 zenon_H128 zenon_H77 zenon_H8c zenon_H4e zenon_H17b zenon_H26 zenon_H161 zenon_H80 zenon_Hf zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H16c zenon_H123 zenon_H214 zenon_Hc8 zenon_H1cf zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H78 zenon_H79 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.05 apply (zenon_L352_); trivial. % 0.82/1.05 apply (zenon_L208_); trivial. % 0.82/1.05 (* end of lemma zenon_L353_ *) % 0.82/1.05 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H206 zenon_H9f zenon_H9b zenon_H98 zenon_H2a zenon_H29 zenon_H28 zenon_H77 zenon_H17b zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H278 zenon_H80 zenon_H16c zenon_H26 zenon_H123 zenon_Hd9 zenon_H182 zenon_H183 zenon_H184 zenon_H1f zenon_H18b zenon_H128. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_L309_); trivial. % 0.82/1.05 apply (zenon_L38_); trivial. % 0.82/1.05 (* end of lemma zenon_L354_ *) % 0.82/1.05 assert (zenon_L355_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1330)) -> (~(c2_1 (a1330))) -> (~(c1_1 (a1330))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H77 zenon_H17b zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H278 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H80 zenon_H16c zenon_H26 zenon_H123 zenon_Hd9 zenon_H28 zenon_H29 zenon_H2a zenon_H148 zenon_H13e zenon_H13c zenon_H98 zenon_H9b zenon_H128. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.05 apply (zenon_L303_); trivial. % 0.82/1.05 apply (zenon_L344_); trivial. % 0.82/1.05 apply (zenon_L38_); trivial. % 0.82/1.05 (* end of lemma zenon_L355_ *) % 0.82/1.05 assert (zenon_L356_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((hskp20)\/(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H101 zenon_H278 zenon_Hd9 zenon_H148 zenon_H13e zenon_H13c zenon_H128 zenon_H77 zenon_H8c zenon_H4e zenon_H17b zenon_H26 zenon_H161 zenon_H80 zenon_Hf zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H16c zenon_H123 zenon_H214 zenon_Hc8 zenon_H1cf zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H78 zenon_H79 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.05 apply (zenon_L235_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.05 apply (zenon_L352_); trivial. % 0.82/1.05 apply (zenon_L355_); trivial. % 0.82/1.05 (* end of lemma zenon_L356_ *) % 0.82/1.05 assert (zenon_L357_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp30)\/((hskp2)\/(hskp9))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H14d zenon_H3b zenon_H1b9 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.05 apply (zenon_L235_); trivial. % 0.82/1.05 apply (zenon_L128_); trivial. % 0.82/1.05 (* end of lemma zenon_L357_ *) % 0.82/1.05 assert (zenon_L358_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp6)) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (~(hskp8)) -> (~(hskp7)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1e0 zenon_H5e zenon_H3b zenon_H12 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H60 zenon_H98 zenon_H5. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1e1 ]. % 0.82/1.05 apply (zenon_L119_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H99 | zenon_intro zenon_H6 ]. % 0.82/1.05 exact (zenon_H98 zenon_H99). % 0.82/1.05 exact (zenon_H5 zenon_H6). % 0.82/1.05 (* end of lemma zenon_L358_ *) % 0.82/1.05 assert (zenon_L359_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp22)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H123 zenon_H22f zenon_H14d zenon_H1d zenon_H17c zenon_H17e zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H161. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.05 apply (zenon_L88_); trivial. % 0.82/1.05 apply (zenon_L211_); trivial. % 0.82/1.05 (* end of lemma zenon_L359_ *) % 0.82/1.05 assert (zenon_L360_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H209 zenon_H1e0 zenon_H5 zenon_H123 zenon_H22f zenon_H14d zenon_H17c zenon_H17e zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H98 zenon_H225 zenon_H7a. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.05 apply (zenon_L359_); trivial. % 0.82/1.05 apply (zenon_L162_); trivial. % 0.82/1.05 apply (zenon_L148_); trivial. % 0.82/1.05 (* end of lemma zenon_L360_ *) % 0.82/1.05 assert (zenon_L361_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54)))))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))) -> (~(c2_1 (a1411))) -> (~(c3_1 (a1411))) -> (c0_1 (a1411)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1aa zenon_H12 zenon_Haa zenon_H32 zenon_H33 zenon_H34. % 0.82/1.05 generalize (zenon_H1aa (a1411)). zenon_intro zenon_H27e. % 0.82/1.05 apply (zenon_imply_s _ _ zenon_H27e); [ zenon_intro zenon_H11 | zenon_intro zenon_H27f ]. % 0.82/1.05 exact (zenon_H11 zenon_H12). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H281 | zenon_intro zenon_H280 ]. % 0.82/1.05 generalize (zenon_Haa (a1411)). zenon_intro zenon_H282. % 0.82/1.05 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_H11 | zenon_intro zenon_H283 ]. % 0.82/1.05 exact (zenon_H11 zenon_H12). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H38 | zenon_intro zenon_H284 ]. % 0.82/1.05 exact (zenon_H32 zenon_H38). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H3a | zenon_intro zenon_H285 ]. % 0.82/1.05 exact (zenon_H33 zenon_H3a). % 0.82/1.05 exact (zenon_H285 zenon_H281). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H38 | zenon_intro zenon_H39 ]. % 0.82/1.05 exact (zenon_H32 zenon_H38). % 0.82/1.05 exact (zenon_H39 zenon_H34). % 0.82/1.05 (* end of lemma zenon_L361_ *) % 0.82/1.05 assert (zenon_L362_ : ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> (c0_1 (a1411)) -> (~(c3_1 (a1411))) -> (~(c2_1 (a1411))) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54)))))) -> (~(hskp14)) -> (~(hskp16)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1f7 zenon_H34 zenon_H33 zenon_H32 zenon_H12 zenon_H1aa zenon_H1f5 zenon_H8a. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Haa | zenon_intro zenon_H1f8 ]. % 0.82/1.05 apply (zenon_L361_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H8b ]. % 0.82/1.05 exact (zenon_H1f5 zenon_H1f6). % 0.82/1.05 exact (zenon_H8a zenon_H8b). % 0.82/1.05 (* end of lemma zenon_L362_ *) % 0.82/1.05 assert (zenon_L363_ : ((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (~(hskp16)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp15)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H3d zenon_H1b5 zenon_H8a zenon_H1f5 zenon_H1f7 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H1b3. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b6 ]. % 0.82/1.05 apply (zenon_L362_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b4 ]. % 0.82/1.05 apply (zenon_L120_); trivial. % 0.82/1.05 exact (zenon_H1b3 zenon_H1b4). % 0.82/1.05 (* end of lemma zenon_L363_ *) % 0.82/1.05 assert (zenon_L364_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp14)) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H78 zenon_H1b5 zenon_H1b3 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H1f5 zenon_H8a zenon_H1f7 zenon_Hd4 zenon_Hd6. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.82/1.05 apply (zenon_L52_); trivial. % 0.82/1.05 apply (zenon_L363_); trivial. % 0.82/1.05 (* end of lemma zenon_L364_ *) % 0.82/1.05 assert (zenon_L365_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp23)) -> (~(hskp22)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H123 zenon_H24a zenon_H248 zenon_H1d zenon_H7e zenon_H80 zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H161. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.05 apply (zenon_L88_); trivial. % 0.82/1.05 apply (zenon_L201_); trivial. % 0.82/1.05 (* end of lemma zenon_L365_ *) % 0.82/1.05 assert (zenon_L366_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H7a zenon_H225 zenon_H98 zenon_H1f5 zenon_H123 zenon_H24a zenon_H7e zenon_H80 zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H1b5 zenon_H1b3 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H261. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.82/1.05 apply (zenon_L365_); trivial. % 0.82/1.05 apply (zenon_L349_); trivial. % 0.82/1.05 apply (zenon_L162_); trivial. % 0.82/1.05 (* end of lemma zenon_L366_ *) % 0.82/1.05 assert (zenon_L367_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp15)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H9b zenon_H261 zenon_H246 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b3 zenon_H1b5 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H80 zenon_H24a zenon_H123 zenon_H1f5 zenon_H98 zenon_H225 zenon_H7a. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_L366_); trivial. % 0.82/1.05 apply (zenon_L207_); trivial. % 0.82/1.05 (* end of lemma zenon_L367_ *) % 0.82/1.05 assert (zenon_L368_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> (~(hskp14)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp15)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hba zenon_H9f zenon_H9b zenon_H261 zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H80 zenon_H24a zenon_H123 zenon_H98 zenon_H225 zenon_H7a zenon_Hd6 zenon_Hd4 zenon_H1f7 zenon_H1f5 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b3 zenon_H1b5 zenon_H78. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.05 apply (zenon_L364_); trivial. % 0.82/1.05 apply (zenon_L367_); trivial. % 0.82/1.05 (* end of lemma zenon_L368_ *) % 0.82/1.05 assert (zenon_L369_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp17)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H8c zenon_H1be zenon_H1bd zenon_H1bc zenon_H42 zenon_H12 zenon_H8a zenon_H7e. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H68 | zenon_intro zenon_H8d ]. % 0.82/1.05 apply (zenon_L171_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H8b | zenon_intro zenon_H7f ]. % 0.82/1.05 exact (zenon_H8a zenon_H8b). % 0.82/1.05 exact (zenon_H7e zenon_H7f). % 0.82/1.05 (* end of lemma zenon_L369_ *) % 0.82/1.05 assert (zenon_L370_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp17)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H18d zenon_H15a zenon_H159 zenon_H158 zenon_H184 zenon_H183 zenon_H182 zenon_H8c zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H7e. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H157 | zenon_intro zenon_H18e ]. % 0.82/1.05 apply (zenon_L87_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H181 | zenon_intro zenon_H42 ]. % 0.82/1.05 apply (zenon_L103_); trivial. % 0.82/1.05 apply (zenon_L369_); trivial. % 0.82/1.05 (* end of lemma zenon_L370_ *) % 0.82/1.05 assert (zenon_L371_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H52 zenon_H12 zenon_H42 zenon_H1bc zenon_H1bd zenon_H1be. % 0.82/1.05 generalize (zenon_H52 (a1331)). zenon_intro zenon_H286. % 0.82/1.05 apply (zenon_imply_s _ _ zenon_H286); [ zenon_intro zenon_H11 | zenon_intro zenon_H287 ]. % 0.82/1.05 exact (zenon_H11 zenon_H12). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H231 | zenon_intro zenon_H288 ]. % 0.82/1.05 apply (zenon_L170_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1c3 ]. % 0.82/1.05 exact (zenon_H1bc zenon_H1c2). % 0.82/1.05 exact (zenon_H1c3 zenon_H1be). % 0.82/1.05 (* end of lemma zenon_L371_ *) % 0.82/1.05 assert (zenon_L372_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (ndr1_0) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H11f zenon_H11c zenon_H1be zenon_H1bd zenon_H1bc zenon_H42 zenon_H91 zenon_H90 zenon_H8f zenon_H12 zenon_H10d zenon_H10f zenon_H110. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.82/1.05 apply (zenon_L371_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.82/1.05 apply (zenon_L36_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H52 | zenon_intro zenon_H11d ]. % 0.82/1.05 apply (zenon_L371_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H8e | zenon_intro zenon_H10c ]. % 0.82/1.05 apply (zenon_L36_); trivial. % 0.82/1.05 apply (zenon_L66_); trivial. % 0.82/1.05 (* end of lemma zenon_L372_ *) % 0.82/1.05 assert (zenon_L373_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H9a zenon_H123 zenon_H18d zenon_H1bc zenon_H1bd zenon_H1be zenon_H11c zenon_H11f zenon_H184 zenon_H183 zenon_H182 zenon_H158 zenon_H159 zenon_H15a zenon_H161. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.05 apply (zenon_L88_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H157 | zenon_intro zenon_H18e ]. % 0.82/1.05 apply (zenon_L87_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H181 | zenon_intro zenon_H42 ]. % 0.82/1.05 apply (zenon_L103_); trivial. % 0.82/1.05 apply (zenon_L372_); trivial. % 0.82/1.05 (* end of lemma zenon_L373_ *) % 0.82/1.05 assert (zenon_L374_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H9f zenon_H123 zenon_H11c zenon_H11f zenon_H161 zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H182 zenon_H183 zenon_H184 zenon_H8c zenon_H8a zenon_H1be zenon_H1bd zenon_H1bc zenon_H18d. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_L370_); trivial. % 0.82/1.05 apply (zenon_L373_); trivial. % 0.82/1.05 (* end of lemma zenon_L374_ *) % 0.82/1.05 assert (zenon_L375_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> ((hskp20)\/(hskp18)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hb6 zenon_H128 zenon_H18b zenon_H1f zenon_Hd9 zenon_H18d zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H5e zenon_H73 zenon_H77. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.05 apply (zenon_L55_); trivial. % 0.82/1.05 apply (zenon_L112_); trivial. % 0.82/1.05 apply (zenon_L160_); trivial. % 0.82/1.05 (* end of lemma zenon_L375_ *) % 0.82/1.05 assert (zenon_L376_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp22)) -> (~(hskp23)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H11e zenon_H24a zenon_H17c zenon_H17e zenon_H1d zenon_H248. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H162 | zenon_intro zenon_H24b ]. % 0.82/1.05 apply (zenon_L97_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e | zenon_intro zenon_H249 ]. % 0.82/1.05 exact (zenon_H1d zenon_H1e). % 0.82/1.05 exact (zenon_H248 zenon_H249). % 0.82/1.05 (* end of lemma zenon_L376_ *) % 0.82/1.05 assert (zenon_L377_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp23)) -> (~(hskp22)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H123 zenon_H24a zenon_H248 zenon_H1d zenon_H17c zenon_H17e zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H161. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.05 apply (zenon_L88_); trivial. % 0.82/1.05 apply (zenon_L376_); trivial. % 0.82/1.05 (* end of lemma zenon_L377_ *) % 0.82/1.05 assert (zenon_L378_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H7a zenon_H225 zenon_H98 zenon_H1f5 zenon_H123 zenon_H24a zenon_H17c zenon_H17e zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H246 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_Hd7 zenon_H278 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H1f zenon_H22 zenon_H26 zenon_H261. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.82/1.05 apply (zenon_L377_); trivial. % 0.82/1.05 apply (zenon_L335_); trivial. % 0.82/1.05 apply (zenon_L162_); trivial. % 0.82/1.05 (* end of lemma zenon_L378_ *) % 0.82/1.05 assert (zenon_L379_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> (~(hskp16)) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H124 zenon_H7a zenon_H225 zenon_H98 zenon_H22 zenon_H1f zenon_Hec zenon_Hea zenon_Heb zenon_H1f7 zenon_H8a zenon_H1f5 zenon_H1f9 zenon_H17c zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H148. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.82/1.05 apply (zenon_L102_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.82/1.05 apply (zenon_L142_); trivial. % 0.82/1.05 apply (zenon_L143_); trivial. % 0.82/1.05 apply (zenon_L162_); trivial. % 0.82/1.05 (* end of lemma zenon_L379_ *) % 0.82/1.05 assert (zenon_L380_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H131 zenon_H192 zenon_H18b zenon_Hba zenon_H1fb zenon_H7a zenon_H225 zenon_H98 zenon_H123 zenon_H24a zenon_H17e zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H246 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H278 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H1f zenon_H22 zenon_H26 zenon_H261 zenon_H148 zenon_H1f9 zenon_H1f7 zenon_H128 zenon_H5 zenon_H1e0 zenon_H209. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.05 apply (zenon_L378_); trivial. % 0.82/1.05 apply (zenon_L379_); trivial. % 0.82/1.05 apply (zenon_L145_); trivial. % 0.82/1.05 apply (zenon_L148_); trivial. % 0.82/1.05 apply (zenon_L164_); trivial. % 0.82/1.05 (* end of lemma zenon_L380_ *) % 0.82/1.05 assert (zenon_L381_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (~(hskp23)) -> (~(hskp22)) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1b5 zenon_H248 zenon_H1d zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_H24a zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H1b3. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b6 ]. % 0.82/1.05 apply (zenon_L209_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b4 ]. % 0.82/1.05 apply (zenon_L120_); trivial. % 0.82/1.05 exact (zenon_H1b3 zenon_H1b4). % 0.82/1.05 (* end of lemma zenon_L381_ *) % 0.82/1.05 assert (zenon_L382_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H7a zenon_H225 zenon_H98 zenon_H1f5 zenon_H1b5 zenon_H1b3 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_H24a zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H261. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.82/1.05 apply (zenon_L381_); trivial. % 0.82/1.05 apply (zenon_L349_); trivial. % 0.82/1.05 apply (zenon_L162_); trivial. % 0.82/1.05 (* end of lemma zenon_L382_ *) % 0.82/1.05 assert (zenon_L383_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H77 zenon_H73 zenon_H5e zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hb4 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H11c zenon_H123 zenon_H9f. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.05 apply (zenon_L374_); trivial. % 0.82/1.05 apply (zenon_L113_); trivial. % 0.82/1.05 (* end of lemma zenon_L383_ *) % 0.82/1.05 assert (zenon_L384_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H77 zenon_H73 zenon_H5e zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hb4 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H11c zenon_H123 zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.05 apply (zenon_L235_); trivial. % 0.82/1.05 apply (zenon_L383_); trivial. % 0.82/1.05 (* end of lemma zenon_L384_ *) % 0.82/1.05 assert (zenon_L385_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H18f zenon_H209 zenon_H7a zenon_H225 zenon_H98 zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_H24a zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H261 zenon_H9f zenon_H123 zenon_H11c zenon_H11f zenon_H161 zenon_H158 zenon_H159 zenon_H15a zenon_H8c zenon_H18d zenon_Hb4 zenon_H5e zenon_H73 zenon_H77 zenon_Hba zenon_H1d7. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.05 apply (zenon_L382_); trivial. % 0.82/1.05 apply (zenon_L383_); trivial. % 0.82/1.05 apply (zenon_L384_); trivial. % 0.82/1.05 (* end of lemma zenon_L385_ *) % 0.82/1.05 assert (zenon_L386_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((hskp26)\/(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((hskp20)\/(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hcf zenon_Hb9 zenon_Hb4 zenon_H20c zenon_H224 zenon_H192 zenon_Hba zenon_H9f zenon_H9b zenon_H261 zenon_H246 zenon_H80 zenon_H24a zenon_Hd6 zenon_H1f7 zenon_H1b5 zenon_H78 zenon_H11c zenon_H11f zenon_H8c zenon_H18d zenon_H77 zenon_H73 zenon_Hd9 zenon_H18b zenon_H128 zenon_H1d7 zenon_H7a zenon_H225 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H17e zenon_H14d zenon_H22f zenon_H123 zenon_H209 zenon_H1f9 zenon_H148 zenon_H26 zenon_H22 zenon_H278 zenon_H1fb zenon_H129 zenon_H60 zenon_H5e zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H98 zenon_H5 zenon_H1e0. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.82/1.05 apply (zenon_L358_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.05 apply (zenon_L360_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.05 apply (zenon_L368_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.05 apply (zenon_L374_); trivial. % 0.82/1.05 apply (zenon_L375_); trivial. % 0.82/1.05 apply (zenon_L148_); trivial. % 0.82/1.05 apply (zenon_L380_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.05 apply (zenon_L215_); trivial. % 0.82/1.05 apply (zenon_L385_); trivial. % 0.82/1.05 (* end of lemma zenon_L386_ *) % 0.82/1.05 assert (zenon_L387_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H9a zenon_H123 zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H158 zenon_H159 zenon_H15a zenon_H161. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.05 apply (zenon_L88_); trivial. % 0.82/1.05 apply (zenon_L68_); trivial. % 0.82/1.05 (* end of lemma zenon_L387_ *) % 0.82/1.05 assert (zenon_L388_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H9f zenon_H123 zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H8c zenon_H77. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_L228_); trivial. % 0.82/1.05 apply (zenon_L387_); trivial. % 0.82/1.05 (* end of lemma zenon_L388_ *) % 0.82/1.05 assert (zenon_L389_ : (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H31 zenon_H12 zenon_H1d8 zenon_H1a9 zenon_H1a0 zenon_H1a1. % 0.82/1.05 generalize (zenon_H31 (a1312)). zenon_intro zenon_H289. % 0.82/1.05 apply (zenon_imply_s _ _ zenon_H289); [ zenon_intro zenon_H11 | zenon_intro zenon_H28a ]. % 0.82/1.05 exact (zenon_H11 zenon_H12). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 0.82/1.05 apply (zenon_L130_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a8 ]. % 0.82/1.05 exact (zenon_H1a0 zenon_H1a6). % 0.82/1.05 exact (zenon_H1a8 zenon_H1a1). % 0.82/1.05 (* end of lemma zenon_L389_ *) % 0.82/1.05 assert (zenon_L390_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))) -> (~(hskp10)) -> (~(hskp1)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1de zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H31 zenon_Hd0 zenon_H1dc. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1df ]. % 0.82/1.05 apply (zenon_L389_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1dd ]. % 0.82/1.05 exact (zenon_Hd0 zenon_Hd1). % 0.82/1.05 exact (zenon_H1dc zenon_H1dd). % 0.82/1.05 (* end of lemma zenon_L390_ *) % 0.82/1.05 assert (zenon_L391_ : ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp1)) -> (~(hskp10)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (c1_1 (a1333)) -> (~(c2_1 (a1333))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11))))) -> (~(c3_1 (a1333))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H27a zenon_H1dc zenon_Hd0 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1de zenon_Had zenon_Hab zenon_H27 zenon_Hac zenon_H12 zenon_H169. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H31 | zenon_intro zenon_H27b ]. % 0.82/1.05 apply (zenon_L390_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H42 | zenon_intro zenon_H16a ]. % 0.82/1.05 apply (zenon_L110_); trivial. % 0.82/1.05 exact (zenon_H169 zenon_H16a). % 0.82/1.05 (* end of lemma zenon_L391_ *) % 0.82/1.05 assert (zenon_L392_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp27)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (c1_1 (a1333)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H63 zenon_H169 zenon_Hac zenon_Hab zenon_Had zenon_H1de zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_Hd0 zenon_H1dc zenon_H27a zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H5e. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H27 | zenon_intro zenon_H67 ]. % 0.82/1.05 apply (zenon_L391_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H52 | zenon_intro zenon_H5f ]. % 0.82/1.05 apply (zenon_L65_); trivial. % 0.82/1.05 exact (zenon_H5e zenon_H5f). % 0.82/1.05 (* end of lemma zenon_L392_ *) % 0.82/1.05 assert (zenon_L393_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hb6 zenon_H17b zenon_H16b zenon_Hd4 zenon_H15a zenon_H159 zenon_H158 zenon_H27a zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_Hd0 zenon_H1dc zenon_H1de zenon_H103 zenon_H104 zenon_H105 zenon_H5e zenon_H63. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.82/1.05 apply (zenon_L392_); trivial. % 0.82/1.05 apply (zenon_L94_); trivial. % 0.82/1.05 (* end of lemma zenon_L393_ *) % 0.82/1.05 assert (zenon_L394_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H17b zenon_H16b zenon_Hd4 zenon_H27a zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H5e zenon_H63 zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.05 apply (zenon_L388_); trivial. % 0.82/1.05 apply (zenon_L393_); trivial. % 0.82/1.05 (* end of lemma zenon_L394_ *) % 0.82/1.05 assert (zenon_L395_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H17b zenon_H16b zenon_Hd4 zenon_H27a zenon_H5e zenon_H63 zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.06 apply (zenon_L235_); trivial. % 0.82/1.06 apply (zenon_L394_); trivial. % 0.82/1.06 (* end of lemma zenon_L395_ *) % 0.82/1.06 assert (zenon_L396_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H209 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H9f zenon_H123 zenon_H11f zenon_H11c zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H8c zenon_H77 zenon_H63 zenon_H5e zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H27a zenon_Hd4 zenon_H16b zenon_H17b zenon_Hba zenon_H1d7. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.06 apply (zenon_L226_); trivial. % 0.82/1.06 apply (zenon_L394_); trivial. % 0.82/1.06 apply (zenon_L395_); trivial. % 0.82/1.06 (* end of lemma zenon_L396_ *) % 0.82/1.06 assert (zenon_L397_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(hskp14)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H1d7 zenon_Hba zenon_H1fb zenon_H17c zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H11c zenon_H11f zenon_H123 zenon_H9f zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H1f5 zenon_H276. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.06 apply (zenon_L226_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.06 apply (zenon_L388_); trivial. % 0.82/1.06 apply (zenon_L145_); trivial. % 0.82/1.06 (* end of lemma zenon_L397_ *) % 0.82/1.06 assert (zenon_L398_ : ((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H7b zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_Hd zenon_H4e. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H12. zenon_intro zenon_H7c. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H44. zenon_intro zenon_H7d. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H45. zenon_intro zenon_H43. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H4c | zenon_intro zenon_H62 ]. % 0.82/1.06 apply (zenon_L21_); trivial. % 0.82/1.06 apply (zenon_L227_); trivial. % 0.82/1.06 (* end of lemma zenon_L398_ *) % 0.82/1.06 assert (zenon_L399_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c1_1 (a1333)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (c2_1 (a1348)) -> (c1_1 (a1348)) -> (~(c0_1 (a1348))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.82/1.06 do 0 intro. intros zenon_H73 zenon_Had zenon_Hab zenon_Hac zenon_H42 zenon_H6b zenon_H6a zenon_H69 zenon_H12 zenon_H5e. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H27 | zenon_intro zenon_H76 ]. % 0.82/1.06 apply (zenon_L110_); trivial. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H68 | zenon_intro zenon_H5f ]. % 0.82/1.06 apply (zenon_L26_); trivial. % 0.82/1.06 exact (zenon_H5e zenon_H5f). % 0.82/1.06 (* end of lemma zenon_L399_ *) % 0.82/1.06 assert (zenon_L400_ : ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(hskp6)) -> (ndr1_0) -> (~(c0_1 (a1348))) -> (c1_1 (a1348)) -> (c2_1 (a1348)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp27)) -> False). % 0.82/1.06 do 0 intro. intros zenon_H27a zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H1d8 zenon_H5e zenon_H12 zenon_H69 zenon_H6a zenon_H6b zenon_Hac zenon_Hab zenon_Had zenon_H73 zenon_H169. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H31 | zenon_intro zenon_H27b ]. % 0.82/1.06 apply (zenon_L389_); trivial. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H42 | zenon_intro zenon_H16a ]. % 0.82/1.06 apply (zenon_L399_); trivial. % 0.82/1.06 exact (zenon_H169 zenon_H16a). % 0.82/1.06 (* end of lemma zenon_L400_ *) % 0.82/1.06 assert (zenon_L401_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp27)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c1_1 (a1333)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c2_1 (a1348)) -> (c1_1 (a1348)) -> (~(c0_1 (a1348))) -> (ndr1_0) -> (~(hskp6)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp10)) -> (~(hskp1)) -> False). % 0.82/1.06 do 0 intro. intros zenon_H1de zenon_H169 zenon_H73 zenon_Had zenon_Hab zenon_Hac zenon_H6b zenon_H6a zenon_H69 zenon_H12 zenon_H5e zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H27a zenon_Hd0 zenon_H1dc. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1df ]. % 0.82/1.06 apply (zenon_L400_); trivial. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1dd ]. % 0.82/1.06 exact (zenon_Hd0 zenon_Hd1). % 0.82/1.06 exact (zenon_H1dc zenon_H1dd). % 0.82/1.06 (* end of lemma zenon_L401_ *) % 0.82/1.06 assert (zenon_L402_ : ((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (c1_1 (a1333)) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H72 zenon_H17b zenon_H17e zenon_H17c zenon_H27a zenon_Hac zenon_Hab zenon_Had zenon_H5e zenon_H73 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_Hd0 zenon_H1dc zenon_H1de. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.82/1.06 apply (zenon_L401_); trivial. % 0.82/1.06 apply (zenon_L99_); trivial. % 0.82/1.06 (* end of lemma zenon_L402_ *) % 0.82/1.06 assert (zenon_L403_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_Hb6 zenon_H77 zenon_H17b zenon_H27a zenon_H5e zenon_H73 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H123 zenon_H22f zenon_H14d zenon_H17c zenon_H17e zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H7a. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.06 apply (zenon_L359_); trivial. % 0.82/1.06 apply (zenon_L398_); trivial. % 0.82/1.06 apply (zenon_L402_); trivial. % 0.82/1.06 (* end of lemma zenon_L403_ *) % 0.82/1.06 assert (zenon_L404_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> False). % 0.82/1.06 do 0 intro. intros zenon_Hb6 zenon_H77 zenon_H17b zenon_H17e zenon_H17c zenon_H27a zenon_H5e zenon_H73 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_Hd0 zenon_H1dc zenon_H1de zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hb4. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.82/1.06 apply (zenon_L42_); trivial. % 0.82/1.06 apply (zenon_L402_); trivial. % 0.82/1.06 (* end of lemma zenon_L404_ *) % 0.82/1.06 assert (zenon_L405_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H17b zenon_H17e zenon_H17c zenon_H27a zenon_H5e zenon_H73 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hb4 zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.06 apply (zenon_L388_); trivial. % 0.82/1.06 apply (zenon_L404_); trivial. % 0.82/1.06 (* end of lemma zenon_L405_ *) % 0.82/1.06 assert (zenon_L406_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H17b zenon_H17e zenon_H17c zenon_H27a zenon_H5e zenon_H73 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hb4 zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.06 apply (zenon_L235_); trivial. % 0.82/1.06 apply (zenon_L405_); trivial. % 0.82/1.06 (* end of lemma zenon_L406_ *) % 0.82/1.06 assert (zenon_L407_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H18f zenon_H209 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H9f zenon_H123 zenon_H11c zenon_H11f zenon_H161 zenon_H158 zenon_H159 zenon_H15a zenon_H8c zenon_H18d zenon_Hb4 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H5e zenon_H73 zenon_H77 zenon_Hba zenon_H1d7. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.06 apply (zenon_L226_); trivial. % 0.82/1.06 apply (zenon_L383_); trivial. % 0.82/1.06 apply (zenon_L384_); trivial. % 0.82/1.06 (* end of lemma zenon_L407_ *) % 0.82/1.06 assert (zenon_L408_ : ((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_H209 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H9f zenon_H11c zenon_H11f zenon_H8c zenon_Hb4 zenon_H5e zenon_H73 zenon_H77 zenon_Hba zenon_H1d7 zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16c zenon_H16b zenon_H123 zenon_H17e zenon_H18b zenon_H22 zenon_H18d zenon_H7a zenon_H192 zenon_H129. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.82/1.06 apply (zenon_L107_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.06 apply (zenon_L100_); trivial. % 0.82/1.06 apply (zenon_L407_); trivial. % 0.82/1.06 (* end of lemma zenon_L408_ *) % 0.82/1.06 assert (zenon_L409_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H77 zenon_H73 zenon_H5e zenon_H2a zenon_H29 zenon_H28 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hb4 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H11c zenon_H123 zenon_H9f. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.06 apply (zenon_L374_); trivial. % 0.82/1.06 apply (zenon_L43_); trivial. % 0.82/1.06 (* end of lemma zenon_L409_ *) % 0.82/1.06 assert (zenon_L410_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H77 zenon_H73 zenon_H5e zenon_H2a zenon_H29 zenon_H28 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hb4 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H11c zenon_H123 zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.06 apply (zenon_L235_); trivial. % 0.82/1.06 apply (zenon_L409_); trivial. % 0.82/1.06 (* end of lemma zenon_L410_ *) % 0.82/1.06 assert (zenon_L411_ : ((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H153 zenon_H127 zenon_H276 zenon_Hb9 zenon_Hba zenon_Hb4 zenon_H8c zenon_H80 zenon_H9b zenon_H9f zenon_H7a zenon_H79 zenon_H63 zenon_H5e zenon_H60 zenon_H4e zenon_H26 zenon_H22 zenon_Hf zenon_H3e zenon_H78 zenon_H73 zenon_H77 zenon_Hd2 zenon_H129 zenon_H192 zenon_H18d zenon_H18b zenon_H17e zenon_H123 zenon_H16b zenon_H16c zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H17b zenon_H1d7 zenon_H11f zenon_H11c zenon_H261 zenon_H246 zenon_H24a zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H225 zenon_H209 zenon_H12a zenon_Hcf. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.82/1.06 apply (zenon_L44_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.82/1.06 apply (zenon_L50_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.82/1.06 apply (zenon_L107_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.06 apply (zenon_L100_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.06 apply (zenon_L382_); trivial. % 0.82/1.06 apply (zenon_L409_); trivial. % 0.82/1.06 apply (zenon_L410_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.82/1.06 apply (zenon_L50_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.82/1.06 apply (zenon_L107_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.82/1.06 apply (zenon_L100_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.82/1.06 apply (zenon_L226_); trivial. % 0.82/1.06 apply (zenon_L409_); trivial. % 0.82/1.06 apply (zenon_L410_); trivial. % 0.82/1.06 (* end of lemma zenon_L411_ *) % 0.82/1.06 assert (zenon_L412_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp22)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H11e zenon_H26 zenon_H22f zenon_H14d zenon_H1d zenon_H7e zenon_H80 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_Hd7 zenon_H278. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.82/1.06 apply (zenon_L254_); trivial. % 0.82/1.06 apply (zenon_L251_); trivial. % 0.82/1.06 (* end of lemma zenon_L412_ *) % 0.82/1.06 assert (zenon_L413_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp22)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> False). % 0.82/1.06 do 0 intro. intros zenon_H123 zenon_H26 zenon_H22f zenon_H14d zenon_H1d zenon_H7e zenon_H80 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_Hd7 zenon_H278 zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H161. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.82/1.06 apply (zenon_L88_); trivial. % 0.82/1.06 apply (zenon_L412_); trivial. % 0.82/1.06 (* end of lemma zenon_L413_ *) % 0.82/1.06 assert (zenon_L414_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H7a zenon_H78 zenon_H17b zenon_H27a zenon_Hd4 zenon_Hd6 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H12 zenon_H278 zenon_Hd7 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_Hd0 zenon_H1dc zenon_H1de zenon_H80 zenon_H7e zenon_H14d zenon_H22f zenon_H26 zenon_H123. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.06 apply (zenon_L413_); trivial. % 0.82/1.06 apply (zenon_L257_); trivial. % 0.82/1.06 (* end of lemma zenon_L414_ *) % 0.82/1.06 assert (zenon_L415_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H7a zenon_H78 zenon_H17b zenon_H27a zenon_Hd4 zenon_Hd6 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H278 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_Hd0 zenon_H1dc zenon_H1de zenon_H80 zenon_H14d zenon_H22f zenon_H26 zenon_H123 zenon_H9b zenon_H98 zenon_H13c zenon_H13e zenon_H148 zenon_H1f5 zenon_H225 zenon_H128. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.82/1.06 apply (zenon_L414_); trivial. % 0.82/1.06 apply (zenon_L205_); trivial. % 0.82/1.06 apply (zenon_L207_); trivial. % 0.82/1.06 (* end of lemma zenon_L415_ *) % 0.82/1.06 assert (zenon_L416_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H7a zenon_H78 zenon_H17b zenon_H27a zenon_Hd4 zenon_Hd6 zenon_H278 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_Hd0 zenon_H1dc zenon_H1de zenon_H80 zenon_H14d zenon_H22f zenon_H26 zenon_H9b zenon_H98 zenon_H13c zenon_H13e zenon_H148 zenon_H1f5 zenon_H225 zenon_H128 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H11c zenon_H123 zenon_H9f. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.82/1.06 apply (zenon_L374_); trivial. % 0.82/1.06 apply (zenon_L415_); trivial. % 0.82/1.06 (* end of lemma zenon_L416_ *) % 0.82/1.06 assert (zenon_L417_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> (~(hskp11)) -> (~(hskp22)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.82/1.06 do 0 intro. intros zenon_H28b zenon_H1f zenon_H1d zenon_Heb zenon_Hea zenon_Hec zenon_H22 zenon_H15a zenon_H159 zenon_H158 zenon_H12 zenon_H3b. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H136 | zenon_intro zenon_H28c ]. % 0.82/1.06 apply (zenon_L102_); trivial. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H157 | zenon_intro zenon_H3c ]. % 0.82/1.06 apply (zenon_L87_); trivial. % 0.82/1.06 exact (zenon_H3b zenon_H3c). % 0.82/1.06 (* end of lemma zenon_L417_ *) % 0.82/1.06 assert (zenon_L418_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H7a zenon_H225 zenon_H98 zenon_H1f5 zenon_H22 zenon_H1f zenon_Hec zenon_Hea zenon_Heb zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H3b zenon_H28b. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.82/1.06 apply (zenon_L417_); trivial. % 0.82/1.06 apply (zenon_L162_); trivial. % 0.82/1.06 (* end of lemma zenon_L418_ *) % 0.82/1.06 assert (zenon_L419_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H131 zenon_H209 zenon_H1e0 zenon_H5 zenon_H28b zenon_H3b zenon_H15a zenon_H159 zenon_H158 zenon_H1f zenon_H22 zenon_H98 zenon_H225 zenon_H7a. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.82/1.06 apply (zenon_L418_); trivial. % 0.82/1.06 apply (zenon_L148_); trivial. % 0.82/1.06 (* end of lemma zenon_L419_ *) % 0.82/1.06 assert (zenon_L420_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (ndr1_0) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp15)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H7a zenon_H18d zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H22f zenon_H14d zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H12 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b3 zenon_H1b5. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.90/1.06 apply (zenon_L168_); trivial. % 0.90/1.06 apply (zenon_L105_); trivial. % 0.90/1.06 (* end of lemma zenon_L420_ *) % 0.90/1.06 assert (zenon_L421_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (c1_1 (a1339)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (ndr1_0) -> (c0_1 (a1328)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H11c zenon_H1be zenon_H1bd zenon_H1bc zenon_H42 zenon_Had zenon_Hac zenon_Hab zenon_H13c zenon_H13e zenon_Hdb zenon_Hdc zenon_He4 zenon_H148 zenon_H12 zenon_H10d zenon_H10e zenon_H10f zenon_H110. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H52 | zenon_intro zenon_H11d ]. % 0.90/1.06 apply (zenon_L371_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H8e | zenon_intro zenon_H10c ]. % 0.90/1.06 apply (zenon_L203_); trivial. % 0.90/1.06 apply (zenon_L66_); trivial. % 0.90/1.06 (* end of lemma zenon_L421_ *) % 0.90/1.06 assert (zenon_L422_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (c1_1 (a1339)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (ndr1_0) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H11f zenon_H11c zenon_H1be zenon_H1bd zenon_H1bc zenon_H42 zenon_Had zenon_Hac zenon_Hab zenon_H13c zenon_H13e zenon_Hdb zenon_Hdc zenon_He4 zenon_H148 zenon_H12 zenon_H10d zenon_H10f zenon_H110. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.90/1.06 apply (zenon_L371_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.90/1.06 apply (zenon_L203_); trivial. % 0.90/1.06 apply (zenon_L421_); trivial. % 0.90/1.06 (* end of lemma zenon_L422_ *) % 0.90/1.06 assert (zenon_L423_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H124 zenon_H123 zenon_H18d zenon_H1bc zenon_H1bd zenon_H1be zenon_H148 zenon_Had zenon_Hac zenon_Hab zenon_H13e zenon_H13c zenon_H11c zenon_H11f zenon_H184 zenon_H183 zenon_H182 zenon_H158 zenon_H159 zenon_H15a zenon_H161. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.90/1.06 apply (zenon_L88_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H157 | zenon_intro zenon_H18e ]. % 0.90/1.06 apply (zenon_L87_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H181 | zenon_intro zenon_H42 ]. % 0.90/1.06 apply (zenon_L103_); trivial. % 0.90/1.06 apply (zenon_L422_); trivial. % 0.90/1.06 (* end of lemma zenon_L423_ *) % 0.90/1.06 assert (zenon_L424_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H7a zenon_H18d zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H26 zenon_H161 zenon_H1bc zenon_H1bd zenon_H1be zenon_H80 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H278 zenon_H14d zenon_H22f zenon_H123 zenon_H11f zenon_H11c zenon_H13c zenon_H13e zenon_H148 zenon_H128. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.90/1.06 apply (zenon_L252_); trivial. % 0.90/1.06 apply (zenon_L105_); trivial. % 0.90/1.06 apply (zenon_L423_); trivial. % 0.90/1.06 apply (zenon_L373_); trivial. % 0.90/1.06 (* end of lemma zenon_L424_ *) % 0.90/1.06 assert (zenon_L425_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H7a zenon_H26 zenon_H80 zenon_H278 zenon_H14d zenon_H22f zenon_H13c zenon_H13e zenon_H148 zenon_H128 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H11c zenon_H123 zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.06 apply (zenon_L235_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.06 apply (zenon_L374_); trivial. % 0.90/1.06 apply (zenon_L424_); trivial. % 0.90/1.06 (* end of lemma zenon_L425_ *) % 0.90/1.06 assert (zenon_L426_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H18f zenon_H209 zenon_H1e0 zenon_H5 zenon_H7a zenon_H225 zenon_H98 zenon_H22f zenon_H14d zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H9f zenon_H123 zenon_H11c zenon_H11f zenon_H161 zenon_H158 zenon_H159 zenon_H15a zenon_H8c zenon_H18d zenon_H9b zenon_H13c zenon_H13e zenon_Hea zenon_Heb zenon_Hec zenon_Hf3 zenon_Hba zenon_H1d7. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.06 apply (zenon_L169_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.06 apply (zenon_L374_); trivial. % 0.90/1.06 apply (zenon_L225_); trivial. % 0.90/1.06 apply (zenon_L148_); trivial. % 0.90/1.06 (* end of lemma zenon_L426_ *) % 0.90/1.06 assert (zenon_L427_ : ((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_H209 zenon_H1e0 zenon_H5 zenon_H225 zenon_H98 zenon_H22f zenon_H14d zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H9f zenon_H11c zenon_H11f zenon_H8c zenon_H9b zenon_H13c zenon_H13e zenon_Hf3 zenon_Hba zenon_H1d7 zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16c zenon_H16b zenon_H123 zenon_H17e zenon_H18b zenon_H22 zenon_H18d zenon_H7a zenon_H192 zenon_H129. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.90/1.06 apply (zenon_L107_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.06 apply (zenon_L95_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.06 apply (zenon_L100_); trivial. % 0.90/1.06 apply (zenon_L426_); trivial. % 0.90/1.06 (* end of lemma zenon_L427_ *) % 0.90/1.06 assert (zenon_L428_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (c2_1 (a1394)) -> (~(c3_1 (a1394))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c0_1 (a1394)) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H16b zenon_H15a zenon_H159 zenon_H158 zenon_H218 zenon_H216 zenon_H1d8 zenon_H217 zenon_H12 zenon_Hd4. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 0.90/1.06 apply (zenon_L87_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H82 | zenon_intro zenon_Hd5 ]. % 0.90/1.06 apply (zenon_L212_); trivial. % 0.90/1.06 exact (zenon_Hd4 zenon_Hd5). % 0.90/1.06 (* end of lemma zenon_L428_ *) % 0.90/1.06 assert (zenon_L429_ : ((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c3_1 (a1359))) -> (~(c1_1 (a1359))) -> (~(c0_1 (a1359))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(hskp12)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H221 zenon_H246 zenon_H255 zenon_H254 zenon_H253 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H16b zenon_H15a zenon_H159 zenon_H158 zenon_Hd4. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H222. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H217. zenon_intro zenon_H223. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H218. zenon_intro zenon_H216. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H23d | zenon_intro zenon_H247 ]. % 0.90/1.06 apply (zenon_L193_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d8 ]. % 0.90/1.06 apply (zenon_L45_); trivial. % 0.90/1.06 apply (zenon_L428_); trivial. % 0.90/1.06 (* end of lemma zenon_L429_ *) % 0.90/1.06 assert (zenon_L430_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp14)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H7a zenon_H18d zenon_H184 zenon_H183 zenon_H182 zenon_H123 zenon_H24a zenon_H7e zenon_H80 zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H26 zenon_H22f zenon_H14d zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_Hd7 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H1f5 zenon_H20c zenon_H16b zenon_Hd4 zenon_H224 zenon_H261. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.90/1.06 apply (zenon_L365_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H20a | zenon_intro zenon_H221 ]. % 0.90/1.06 apply (zenon_L291_); trivial. % 0.90/1.06 apply (zenon_L429_); trivial. % 0.90/1.06 apply (zenon_L105_); trivial. % 0.90/1.06 (* end of lemma zenon_L430_ *) % 0.90/1.06 assert (zenon_L431_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp14)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H7a zenon_H24a zenon_H80 zenon_H26 zenon_H22f zenon_H14d zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H1f5 zenon_H20c zenon_H16b zenon_Hd4 zenon_H224 zenon_H261 zenon_H9b zenon_H98 zenon_H13c zenon_H13e zenon_H148 zenon_H225 zenon_H128 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H11c zenon_H123 zenon_H9f. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.06 apply (zenon_L374_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.90/1.06 apply (zenon_L430_); trivial. % 0.90/1.06 apply (zenon_L205_); trivial. % 0.90/1.06 apply (zenon_L207_); trivial. % 0.90/1.06 (* end of lemma zenon_L431_ *) % 0.90/1.06 assert (zenon_L432_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H18f zenon_H209 zenon_H7a zenon_H18d zenon_H15a zenon_H159 zenon_H158 zenon_H22f zenon_H14d zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H9f zenon_H123 zenon_H11c zenon_H11f zenon_H161 zenon_H8c zenon_H128 zenon_H225 zenon_H148 zenon_H13e zenon_H13c zenon_H98 zenon_H9b zenon_H261 zenon_H224 zenon_Hd4 zenon_H16b zenon_H20c zenon_H246 zenon_H278 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H26 zenon_H80 zenon_H24a zenon_Hba zenon_H1d7. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.06 apply (zenon_L420_); trivial. % 0.90/1.06 apply (zenon_L431_); trivial. % 0.90/1.06 apply (zenon_L425_); trivial. % 0.90/1.06 (* end of lemma zenon_L432_ *) % 0.90/1.06 assert (zenon_L433_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((hskp26)\/(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_Hcf zenon_H224 zenon_H20c zenon_H1fb zenon_H24a zenon_H246 zenon_H261 zenon_H1f9 zenon_Hb9 zenon_Hf3 zenon_H192 zenon_Hba zenon_H9f zenon_H17b zenon_H27a zenon_H278 zenon_H1dc zenon_H1de zenon_H80 zenon_H26 zenon_H9b zenon_H13c zenon_H13e zenon_H148 zenon_H128 zenon_Hd6 zenon_H1f7 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H78 zenon_H11c zenon_H11f zenon_H8c zenon_H18d zenon_H1d7 zenon_H7a zenon_H225 zenon_H98 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H12 zenon_H17e zenon_H14d zenon_H22f zenon_H123 zenon_H5 zenon_H1e0 zenon_H209 zenon_H22 zenon_H28b zenon_H129 zenon_H18b zenon_H16b zenon_H16c zenon_H12a. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.06 apply (zenon_L360_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.06 apply (zenon_L364_); trivial. % 0.90/1.06 apply (zenon_L415_); trivial. % 0.90/1.06 apply (zenon_L416_); trivial. % 0.90/1.06 apply (zenon_L148_); trivial. % 0.90/1.06 apply (zenon_L419_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.06 apply (zenon_L360_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.06 apply (zenon_L420_); trivial. % 0.90/1.06 apply (zenon_L416_); trivial. % 0.90/1.06 apply (zenon_L425_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.06 apply (zenon_L360_); trivial. % 0.90/1.06 apply (zenon_L426_); trivial. % 0.90/1.06 apply (zenon_L427_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.90/1.06 apply (zenon_L378_); trivial. % 0.90/1.06 apply (zenon_L144_); trivial. % 0.90/1.06 apply (zenon_L145_); trivial. % 0.90/1.06 apply (zenon_L148_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.06 apply (zenon_L368_); trivial. % 0.90/1.06 apply (zenon_L431_); trivial. % 0.90/1.06 apply (zenon_L425_); trivial. % 0.90/1.06 apply (zenon_L380_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.06 apply (zenon_L215_); trivial. % 0.90/1.06 apply (zenon_L432_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.06 apply (zenon_L215_); trivial. % 0.90/1.06 apply (zenon_L426_); trivial. % 0.90/1.06 (* end of lemma zenon_L433_ *) % 0.90/1.06 assert (zenon_L434_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H124 zenon_H123 zenon_H103 zenon_H104 zenon_H105 zenon_H148 zenon_Had zenon_Hac zenon_Hab zenon_H13e zenon_H13c zenon_H11c zenon_H11f zenon_H158 zenon_H159 zenon_H15a zenon_H161. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.90/1.06 apply (zenon_L88_); trivial. % 0.90/1.06 apply (zenon_L242_); trivial. % 0.90/1.06 (* end of lemma zenon_L434_ *) % 0.90/1.06 assert (zenon_L435_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H18f zenon_H209 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H9f zenon_H123 zenon_H11f zenon_H11c zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H8c zenon_H77 zenon_H128 zenon_H148 zenon_H13e zenon_H13c zenon_H26 zenon_H22f zenon_H14d zenon_H80 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H278 zenon_H18d zenon_H7a zenon_Hba zenon_H1d7. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.06 apply (zenon_L226_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.06 apply (zenon_L388_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.90/1.06 apply (zenon_L413_); trivial. % 0.90/1.06 apply (zenon_L105_); trivial. % 0.90/1.06 apply (zenon_L423_); trivial. % 0.90/1.06 apply (zenon_L373_); trivial. % 0.90/1.06 apply (zenon_L425_); trivial. % 0.90/1.06 (* end of lemma zenon_L435_ *) % 0.90/1.06 assert (zenon_L436_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H192 zenon_H18d zenon_H1d7 zenon_Hba zenon_H1fb zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H11c zenon_H11f zenon_H123 zenon_H9f zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H276 zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H128 zenon_H148 zenon_H13e zenon_H13c zenon_H22f zenon_H14d zenon_H278 zenon_H80 zenon_H26 zenon_Hd6 zenon_Hd4 zenon_H27a zenon_H17b zenon_H78 zenon_H7a zenon_H209. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.06 apply (zenon_L397_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.06 apply (zenon_L235_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.06 apply (zenon_L388_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.90/1.06 apply (zenon_L258_); trivial. % 0.90/1.06 apply (zenon_L434_); trivial. % 0.90/1.06 apply (zenon_L387_); trivial. % 0.90/1.06 apply (zenon_L435_); trivial. % 0.90/1.06 (* end of lemma zenon_L436_ *) % 0.90/1.06 assert (zenon_L437_ : ((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_Hf3 zenon_H19e zenon_H13c zenon_H13e zenon_H24a zenon_H1 zenon_H25d zenon_H261 zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16c zenon_H16b zenon_H123 zenon_H17e zenon_H18b zenon_H22 zenon_H18d zenon_H7a zenon_H192 zenon_H129. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.90/1.06 apply (zenon_L107_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.06 apply (zenon_L95_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.07 apply (zenon_L100_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.90/1.07 apply (zenon_L218_); trivial. % 0.90/1.07 apply (zenon_L105_); trivial. % 0.90/1.07 (* end of lemma zenon_L437_ *) % 0.90/1.07 assert (zenon_L438_ : ((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> (~(c1_1 (a1315))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp26)\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H12b zenon_H12a zenon_H19e zenon_H24a zenon_H1 zenon_H25d zenon_H261 zenon_H16c zenon_H16b zenon_H17e zenon_H129 zenon_H22 zenon_H18b zenon_H1f9 zenon_H209 zenon_H7a zenon_H78 zenon_H17b zenon_H27a zenon_Hd6 zenon_H26 zenon_H80 zenon_H278 zenon_H14d zenon_H22f zenon_H13c zenon_H13e zenon_H148 zenon_H128 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H9f zenon_H123 zenon_H11f zenon_H11c zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H79 zenon_H1de zenon_H1dc zenon_H4e zenon_H8c zenon_H77 zenon_H1fb zenon_Hba zenon_H1d7 zenon_H18d zenon_H192 zenon_Hf3 zenon_Hb9. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.07 apply (zenon_L436_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.07 apply (zenon_L397_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.07 apply (zenon_L235_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.07 apply (zenon_L388_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.90/1.07 apply (zenon_L241_); trivial. % 0.90/1.07 apply (zenon_L434_); trivial. % 0.90/1.07 apply (zenon_L387_); trivial. % 0.90/1.07 apply (zenon_L106_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.07 apply (zenon_L436_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.90/1.07 apply (zenon_L88_); trivial. % 0.90/1.07 apply (zenon_L283_); trivial. % 0.90/1.07 apply (zenon_L437_); trivial. % 0.90/1.07 (* end of lemma zenon_L438_ *) % 0.90/1.07 assert (zenon_L439_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H131 zenon_H192 zenon_H7a zenon_H18d zenon_H15a zenon_H159 zenon_H158 zenon_H22 zenon_H1f zenon_H18b zenon_H28 zenon_H29 zenon_H2a zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H13e zenon_H13c zenon_H98 zenon_H9b. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.07 apply (zenon_L331_); trivial. % 0.90/1.07 apply (zenon_L106_); trivial. % 0.90/1.07 (* end of lemma zenon_L439_ *) % 0.90/1.07 assert (zenon_L440_ : ((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((hskp26)\/(hskp12)) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp9)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hbb zenon_H129 zenon_H9b zenon_H98 zenon_H13c zenon_H13e zenon_Hf3 zenon_Hd6 zenon_H28 zenon_H29 zenon_H2a zenon_H3b zenon_H3e zenon_H78. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.07 apply (zenon_L53_); trivial. % 0.90/1.07 apply (zenon_L345_); trivial. % 0.90/1.07 (* end of lemma zenon_L440_ *) % 0.90/1.07 assert (zenon_L441_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((hskp26)\/(hskp12)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hb9 zenon_Hf3 zenon_H78 zenon_H3e zenon_H3b zenon_H2a zenon_H29 zenon_H28 zenon_Hd6 zenon_H9b zenon_H98 zenon_H13c zenon_H13e zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9 zenon_H18b zenon_H22 zenon_H158 zenon_H159 zenon_H15a zenon_H18d zenon_H7a zenon_H192 zenon_H129. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.07 apply (zenon_L53_); trivial. % 0.90/1.07 apply (zenon_L439_); trivial. % 0.90/1.07 apply (zenon_L440_); trivial. % 0.90/1.07 (* end of lemma zenon_L441_ *) % 0.90/1.07 assert (zenon_L442_ : ((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_H9b zenon_H98 zenon_H13c zenon_H13e zenon_Hf3 zenon_H2a zenon_H29 zenon_H28 zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16c zenon_H16b zenon_H123 zenon_H17e zenon_H18b zenon_H22 zenon_H18d zenon_H7a zenon_H192 zenon_H129. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.90/1.07 apply (zenon_L107_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.07 apply (zenon_L95_); trivial. % 0.90/1.07 apply (zenon_L345_); trivial. % 0.90/1.07 (* end of lemma zenon_L442_ *) % 0.90/1.07 assert (zenon_L443_ : ((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp26)\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hca zenon_H12a zenon_H16c zenon_H17e zenon_H129 zenon_H18d zenon_H15a zenon_H159 zenon_H158 zenon_H9b zenon_H98 zenon_H13c zenon_H13e zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9 zenon_H2a zenon_H29 zenon_H28 zenon_H9f zenon_H7a zenon_H78 zenon_H17b zenon_H1de zenon_H1dc zenon_H27a zenon_Hd6 zenon_H224 zenon_H1d4 zenon_H27c zenon_H21f zenon_H20c zenon_H80 zenon_H24a zenon_H123 zenon_H246 zenon_H278 zenon_H22 zenon_H26 zenon_H261 zenon_H18b zenon_H128 zenon_H209 zenon_H192 zenon_H22f zenon_H14d zenon_H1b5 zenon_H11c zenon_H11f zenon_H161 zenon_H8c zenon_H225 zenon_H148 zenon_H16b zenon_Hba zenon_H1d7 zenon_Hf3 zenon_Hb9. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.07 apply (zenon_L342_); trivial. % 0.90/1.07 apply (zenon_L439_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.07 apply (zenon_L331_); trivial. % 0.90/1.07 apply (zenon_L432_); trivial. % 0.90/1.07 apply (zenon_L345_); trivial. % 0.90/1.07 apply (zenon_L442_); trivial. % 0.90/1.07 (* end of lemma zenon_L443_ *) % 0.90/1.07 assert (zenon_L444_ : ((ndr1_0)/\((c1_1 (a1314))/\((~(c0_1 (a1314)))/\(~(c3_1 (a1314)))))) -> ((~(hskp6))\/((ndr1_0)/\((c3_1 (a1315))/\((~(c0_1 (a1315)))/\(~(c1_1 (a1315))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((hskp20)\/(hskp18)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> ((hskp26)\/(hskp12)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H28d zenon_H19f zenon_H21f zenon_H27c zenon_H1d4 zenon_Hf3 zenon_H28b zenon_H25d zenon_H1 zenon_H127 zenon_H12a zenon_H16c zenon_H17b zenon_H16b zenon_H27a zenon_H63 zenon_H4e zenon_H1dc zenon_H1de zenon_H79 zenon_H276 zenon_H1e0 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H60 zenon_H129 zenon_H1fb zenon_H278 zenon_H22 zenon_H26 zenon_H148 zenon_H1f9 zenon_H209 zenon_H123 zenon_H22f zenon_H14d zenon_H17e zenon_H161 zenon_H225 zenon_H7a zenon_H1d7 zenon_H128 zenon_H18b zenon_Hd9 zenon_H73 zenon_H77 zenon_H18d zenon_H8c zenon_H11f zenon_H11c zenon_H78 zenon_H1b5 zenon_H1f7 zenon_Hd6 zenon_H24a zenon_H80 zenon_H246 zenon_H261 zenon_H9b zenon_H9f zenon_Hba zenon_H192 zenon_H224 zenon_H20c zenon_Hb4 zenon_Hb9 zenon_Hcf zenon_Hd2 zenon_H3e zenon_Hf zenon_H156. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H12. zenon_intro zenon_H28e. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H15a. zenon_intro zenon_H28f. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H158. zenon_intro zenon_H159. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.90/1.07 apply (zenon_L386_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.07 apply (zenon_L396_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.07 apply (zenon_L397_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.07 apply (zenon_L235_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.07 apply (zenon_L388_); trivial. % 0.90/1.07 apply (zenon_L403_); trivial. % 0.90/1.07 apply (zenon_L106_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.07 apply (zenon_L397_); trivial. % 0.90/1.07 apply (zenon_L406_); trivial. % 0.90/1.07 apply (zenon_L407_); trivial. % 0.90/1.07 apply (zenon_L408_); trivial. % 0.90/1.07 apply (zenon_L411_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.90/1.07 apply (zenon_L433_); trivial. % 0.90/1.07 apply (zenon_L438_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.90/1.07 apply (zenon_L441_); trivial. % 0.90/1.07 apply (zenon_L443_); trivial. % 0.90/1.07 apply (zenon_L438_); trivial. % 0.90/1.07 (* end of lemma zenon_L444_ *) % 0.90/1.07 assert (zenon_L445_ : ((hskp14)\/((hskp4)\/(hskp1))) -> (~(hskp14)) -> (~(hskp4)) -> (~(hskp1)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H290 zenon_H1f5 zenon_H3 zenon_H1dc. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H291 ]. % 0.90/1.07 exact (zenon_H1f5 zenon_H1f6). % 0.90/1.07 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H4 | zenon_intro zenon_H1dd ]. % 0.90/1.07 exact (zenon_H3 zenon_H4). % 0.90/1.07 exact (zenon_H1dc zenon_H1dd). % 0.90/1.07 (* end of lemma zenon_L445_ *) % 0.90/1.07 assert (zenon_L446_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> (~(hskp4)) -> (~(hskp1)) -> ((hskp14)\/((hskp4)\/(hskp1))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H209 zenon_H1e0 zenon_H5 zenon_H98 zenon_H3 zenon_H1dc zenon_H290. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.07 apply (zenon_L445_); trivial. % 0.90/1.07 apply (zenon_L148_); trivial. % 0.90/1.07 (* end of lemma zenon_L446_ *) % 0.90/1.07 assert (zenon_L447_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H10e zenon_H12 zenon_H292 zenon_H293 zenon_H294. % 0.90/1.07 generalize (zenon_H10e (a1311)). zenon_intro zenon_H295. % 0.90/1.07 apply (zenon_imply_s _ _ zenon_H295); [ zenon_intro zenon_H11 | zenon_intro zenon_H296 ]. % 0.90/1.07 exact (zenon_H11 zenon_H12). % 0.90/1.07 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H298 | zenon_intro zenon_H297 ]. % 0.90/1.07 exact (zenon_H292 zenon_H298). % 0.90/1.07 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H29a | zenon_intro zenon_H299 ]. % 0.90/1.07 exact (zenon_H29a zenon_H293). % 0.90/1.07 exact (zenon_H299 zenon_H294). % 0.90/1.07 (* end of lemma zenon_L447_ *) % 0.90/1.07 assert (zenon_L448_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H9a zenon_H11f zenon_H105 zenon_H104 zenon_H103 zenon_H292 zenon_H293 zenon_H294. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.90/1.07 apply (zenon_L65_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.90/1.07 apply (zenon_L36_); trivial. % 0.90/1.07 apply (zenon_L447_); trivial. % 0.90/1.07 (* end of lemma zenon_L448_ *) % 0.90/1.07 assert (zenon_L449_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H9f zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H105 zenon_H104 zenon_H103 zenon_Hd6 zenon_Hd4 zenon_H3 zenon_H134 zenon_H78. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.07 apply (zenon_L73_); trivial. % 0.90/1.07 apply (zenon_L448_); trivial. % 0.90/1.07 (* end of lemma zenon_L449_ *) % 0.90/1.07 assert (zenon_L450_ : ((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H12b zenon_H129 zenon_H151 zenon_H78 zenon_H134 zenon_H3 zenon_Hd6 zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H9f. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.07 apply (zenon_L449_); trivial. % 0.90/1.07 apply (zenon_L82_); trivial. % 0.90/1.07 (* end of lemma zenon_L450_ *) % 0.90/1.07 assert (zenon_L451_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((hskp14)\/((hskp4)\/(hskp1))) -> (~(hskp1)) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H127 zenon_H129 zenon_H151 zenon_H78 zenon_H134 zenon_Hd6 zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H9f zenon_H290 zenon_H1dc zenon_H3 zenon_H5 zenon_H1e0 zenon_H209. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.90/1.07 apply (zenon_L446_); trivial. % 0.90/1.07 apply (zenon_L450_); trivial. % 0.90/1.07 (* end of lemma zenon_L451_ *) % 0.90/1.07 assert (zenon_L452_ : ((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((hskp26)\/(hskp12)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp5)\/(hskp6))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H153 zenon_H127 zenon_Hd6 zenon_H3 zenon_H151 zenon_H129 zenon_Hb9 zenon_Hba zenon_Hb4 zenon_H8c zenon_H80 zenon_H9b zenon_H9f zenon_H7a zenon_H79 zenon_H63 zenon_H5e zenon_H60 zenon_H4e zenon_H26 zenon_H22 zenon_Hf zenon_H3e zenon_H78 zenon_H73 zenon_H77 zenon_Hc8 zenon_Hcb zenon_Hcf. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.90/1.07 apply (zenon_L48_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.90/1.07 apply (zenon_L83_); trivial. % 0.90/1.07 apply (zenon_L47_); trivial. % 0.90/1.07 (* end of lemma zenon_L452_ *) % 0.90/1.07 assert (zenon_L453_ : ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp5)\/(hskp6))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp4)) -> (~(hskp1)) -> ((hskp14)\/((hskp4)\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> ((hskp26)\/(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H156 zenon_Hb9 zenon_Hba zenon_Hb4 zenon_H8c zenon_H80 zenon_H9b zenon_H7a zenon_H79 zenon_H63 zenon_H5e zenon_H60 zenon_H4e zenon_H26 zenon_H22 zenon_Hf zenon_H3e zenon_H73 zenon_H77 zenon_Hc8 zenon_Hcb zenon_Hcf zenon_H209 zenon_H1e0 zenon_H3 zenon_H1dc zenon_H290 zenon_H9f zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_Hd6 zenon_H134 zenon_H78 zenon_H151 zenon_H129 zenon_H127. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.90/1.07 apply (zenon_L451_); trivial. % 0.90/1.07 apply (zenon_L452_); trivial. % 0.90/1.07 (* end of lemma zenon_L453_ *) % 0.90/1.07 assert (zenon_L454_ : ((ndr1_0)/\((c3_1 (a1315))/\((~(c0_1 (a1315)))/\(~(c1_1 (a1315)))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp4)\/(hskp2))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp4)) -> (~(hskp1)) -> ((hskp14)\/((hskp4)\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> ((hskp26)\/(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H19b zenon_H156 zenon_Hba zenon_H148 zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H3e zenon_H9b zenon_H14d zenon_H14f zenon_Hcf zenon_H209 zenon_H1e0 zenon_H3 zenon_H1dc zenon_H290 zenon_H9f zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_Hd6 zenon_H134 zenon_H78 zenon_H151 zenon_H129 zenon_H127. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.90/1.07 apply (zenon_L451_); trivial. % 0.90/1.07 apply (zenon_L85_); trivial. % 0.90/1.07 (* end of lemma zenon_L454_ *) % 0.90/1.07 assert (zenon_L455_ : ((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (c3_1 (a1321)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H3d zenon_H214 zenon_Hc8 zenon_Hf7 zenon_Hf6 zenon_Hf8 zenon_H1bc zenon_H1bd zenon_H1be zenon_H1cf zenon_H294 zenon_H293 zenon_H292. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H20e | zenon_intro zenon_H215 ]. % 0.90/1.07 apply (zenon_L152_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H10e | zenon_intro zenon_H31 ]. % 0.90/1.07 apply (zenon_L447_); trivial. % 0.90/1.07 apply (zenon_L16_); trivial. % 0.90/1.07 (* end of lemma zenon_L455_ *) % 0.90/1.07 assert (zenon_L456_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (c3_1 (a1321)) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H1d3 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_Hf7 zenon_Hf6 zenon_Hf8 zenon_Hc8 zenon_H1cf zenon_Hd4 zenon_Hd6. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.90/1.07 apply (zenon_L52_); trivial. % 0.90/1.07 apply (zenon_L455_); trivial. % 0.90/1.07 (* end of lemma zenon_L456_ *) % 0.90/1.07 assert (zenon_L457_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (c3_1 (a1321)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H214 zenon_Hc8 zenon_Hf7 zenon_Hf6 zenon_Hf8 zenon_H1bc zenon_H1bd zenon_H1be zenon_H1cf zenon_H294 zenon_H293 zenon_H292 zenon_H12 zenon_H1d8 zenon_H1a9 zenon_H1a0 zenon_H1a1. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H20e | zenon_intro zenon_H215 ]. % 0.90/1.07 apply (zenon_L152_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H10e | zenon_intro zenon_H31 ]. % 0.90/1.07 apply (zenon_L447_); trivial. % 0.90/1.07 apply (zenon_L389_); trivial. % 0.90/1.07 (* end of lemma zenon_L457_ *) % 0.90/1.07 assert (zenon_L458_ : ((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (c3_1 (a1321)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H25c zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H214 zenon_Hc8 zenon_Hf7 zenon_Hf6 zenon_Hf8 zenon_H1bc zenon_H1bd zenon_H1be zenon_H1cf zenon_H294 zenon_H293 zenon_H292 zenon_H1a9 zenon_H1a0 zenon_H1a1. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H23d | zenon_intro zenon_H247 ]. % 0.90/1.07 apply (zenon_L193_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d8 ]. % 0.90/1.07 apply (zenon_L45_); trivial. % 0.90/1.07 apply (zenon_L457_); trivial. % 0.90/1.07 (* end of lemma zenon_L458_ *) % 0.90/1.07 assert (zenon_L459_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H9f zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H105 zenon_H104 zenon_H103 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H8c zenon_H77. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.07 apply (zenon_L228_); trivial. % 0.90/1.07 apply (zenon_L448_); trivial. % 0.90/1.07 (* end of lemma zenon_L459_ *) % 0.90/1.07 assert (zenon_L460_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (c3_1 (a1315)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1315))) -> (ndr1_0) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H11f zenon_H105 zenon_H104 zenon_H103 zenon_H13e zenon_Hda zenon_H13c zenon_H12 zenon_H292 zenon_H293 zenon_H294. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.90/1.07 apply (zenon_L65_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.90/1.07 apply (zenon_L77_); trivial. % 0.90/1.07 apply (zenon_L447_); trivial. % 0.90/1.07 (* end of lemma zenon_L460_ *) % 0.90/1.07 assert (zenon_L461_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H124 zenon_H148 zenon_H294 zenon_H293 zenon_H292 zenon_H13c zenon_H13e zenon_H103 zenon_H104 zenon_H105 zenon_H11f zenon_Hab zenon_Hac zenon_Had. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.90/1.07 apply (zenon_L140_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.90/1.07 apply (zenon_L460_); trivial. % 0.90/1.07 apply (zenon_L41_); trivial. % 0.90/1.07 (* end of lemma zenon_L461_ *) % 0.90/1.07 assert (zenon_L462_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H7a zenon_H78 zenon_H17b zenon_H27a zenon_Hd4 zenon_Hd6 zenon_H26 zenon_H161 zenon_H80 zenon_H278 zenon_H14d zenon_H22f zenon_H123 zenon_H13e zenon_H13c zenon_H148 zenon_H128 zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H103 zenon_H104 zenon_H105 zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.07 apply (zenon_L235_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.07 apply (zenon_L459_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.90/1.07 apply (zenon_L258_); trivial. % 0.90/1.07 apply (zenon_L461_); trivial. % 0.90/1.07 apply (zenon_L448_); trivial. % 0.90/1.07 (* end of lemma zenon_L462_ *) % 0.90/1.07 assert (zenon_L463_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H209 zenon_H161 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H9f zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H8c zenon_H77 zenon_H128 zenon_H148 zenon_H13c zenon_H13e zenon_H224 zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H21f zenon_H20c zenon_H278 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H80 zenon_H14d zenon_H22f zenon_H26 zenon_H123 zenon_Hd6 zenon_Hd4 zenon_H27a zenon_H17b zenon_H78 zenon_H7a zenon_Hba zenon_H1d7. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.07 apply (zenon_L226_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.07 apply (zenon_L459_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H20a | zenon_intro zenon_H221 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.90/1.07 apply (zenon_L151_); trivial. % 0.90/1.07 apply (zenon_L412_); trivial. % 0.90/1.07 apply (zenon_L158_); trivial. % 0.90/1.07 apply (zenon_L257_); trivial. % 0.90/1.07 apply (zenon_L461_); trivial. % 0.90/1.07 apply (zenon_L448_); trivial. % 0.90/1.07 apply (zenon_L462_); trivial. % 0.90/1.07 (* end of lemma zenon_L463_ *) % 0.90/1.07 assert (zenon_L464_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H1f9 zenon_H294 zenon_H293 zenon_H292 zenon_H13c zenon_H13e zenon_H103 zenon_H104 zenon_H105 zenon_H11f zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H17c. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fa ]. % 0.90/1.07 apply (zenon_L460_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1af | zenon_intro zenon_H17d ]. % 0.90/1.07 apply (zenon_L120_); trivial. % 0.90/1.07 exact (zenon_H17c zenon_H17d). % 0.90/1.07 (* end of lemma zenon_L464_ *) % 0.90/1.07 assert (zenon_L465_ : (forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H50 zenon_H12 zenon_Ha0 zenon_H292 zenon_H293 zenon_H294. % 0.90/1.07 generalize (zenon_H50 (a1311)). zenon_intro zenon_H29b. % 0.90/1.07 apply (zenon_imply_s _ _ zenon_H29b); [ zenon_intro zenon_H11 | zenon_intro zenon_H29c ]. % 0.90/1.07 exact (zenon_H11 zenon_H12). % 0.90/1.07 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H29d | zenon_intro zenon_H297 ]. % 0.90/1.07 generalize (zenon_Ha0 (a1311)). zenon_intro zenon_H29e. % 0.90/1.07 apply (zenon_imply_s _ _ zenon_H29e); [ zenon_intro zenon_H11 | zenon_intro zenon_H29f ]. % 0.90/1.07 exact (zenon_H11 zenon_H12). % 0.90/1.07 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H298 | zenon_intro zenon_H2a0 ]. % 0.90/1.07 exact (zenon_H292 zenon_H298). % 0.90/1.07 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29a | zenon_intro zenon_H2a1 ]. % 0.90/1.07 exact (zenon_H29a zenon_H293). % 0.90/1.07 exact (zenon_H2a1 zenon_H29d). % 0.90/1.07 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H29a | zenon_intro zenon_H299 ]. % 0.90/1.07 exact (zenon_H29a zenon_H293). % 0.90/1.07 exact (zenon_H299 zenon_H294). % 0.90/1.07 (* end of lemma zenon_L465_ *) % 0.90/1.07 assert (zenon_L466_ : ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H21f zenon_H294 zenon_H293 zenon_H292 zenon_Ha0 zenon_H12 zenon_H1b7 zenon_Hd7. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H50 | zenon_intro zenon_H220 ]. % 0.90/1.07 apply (zenon_L465_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H1b8 | zenon_intro zenon_Hd8 ]. % 0.90/1.07 exact (zenon_H1b7 zenon_H1b8). % 0.90/1.07 exact (zenon_Hd7 zenon_Hd8). % 0.90/1.07 (* end of lemma zenon_L466_ *) % 0.90/1.07 assert (zenon_L467_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hf3 zenon_H13c zenon_H13e zenon_H103 zenon_H104 zenon_H105 zenon_H11f zenon_Hec zenon_Heb zenon_Hea zenon_H21f zenon_H294 zenon_H293 zenon_H292 zenon_H12 zenon_H1b7 zenon_Hd7. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.90/1.07 apply (zenon_L460_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.90/1.07 apply (zenon_L59_); trivial. % 0.90/1.07 apply (zenon_L466_); trivial. % 0.90/1.07 (* end of lemma zenon_L467_ *) % 0.90/1.07 assert (zenon_L468_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H1d3 zenon_H128 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_Hf3 zenon_H21f zenon_Hec zenon_Heb zenon_Hea zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_Hc8 zenon_H1cf zenon_H1d4. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ce ]. % 0.90/1.07 apply (zenon_L467_); trivial. % 0.90/1.07 apply (zenon_L127_); trivial. % 0.90/1.07 apply (zenon_L160_); trivial. % 0.90/1.07 (* end of lemma zenon_L468_ *) % 0.90/1.07 assert (zenon_L469_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H131 zenon_H192 zenon_H209 zenon_H1b5 zenon_H276 zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H21f zenon_Hf3 zenon_H1f zenon_H18b zenon_H128 zenon_H1d7 zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.07 apply (zenon_L464_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.07 apply (zenon_L226_); trivial. % 0.90/1.07 apply (zenon_L468_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.07 apply (zenon_L235_); trivial. % 0.90/1.07 apply (zenon_L468_); trivial. % 0.90/1.07 (* end of lemma zenon_L469_ *) % 0.90/1.07 assert (zenon_L470_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H131 zenon_Hf3 zenon_H294 zenon_H293 zenon_H292 zenon_H13c zenon_H13e zenon_H103 zenon_H104 zenon_H105 zenon_H11f zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.90/1.07 apply (zenon_L460_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.90/1.07 apply (zenon_L59_); trivial. % 0.90/1.07 apply (zenon_L40_); trivial. % 0.90/1.07 (* end of lemma zenon_L470_ *) % 0.90/1.07 assert (zenon_L471_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (c3_1 (a1321)) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_Hf7 zenon_Hf6 zenon_Hf8 zenon_Hc8 zenon_H1cf zenon_Hd4 zenon_Hd6 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.07 apply (zenon_L235_); trivial. % 0.90/1.07 apply (zenon_L456_); trivial. % 0.90/1.07 (* end of lemma zenon_L471_ *) % 0.90/1.07 assert (zenon_L472_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1321)) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H209 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_Hd6 zenon_Hd4 zenon_H1cf zenon_Hc8 zenon_Hf8 zenon_Hf6 zenon_Hf7 zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_H1d7. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.07 apply (zenon_L226_); trivial. % 0.90/1.07 apply (zenon_L456_); trivial. % 0.90/1.07 apply (zenon_L471_); trivial. % 0.90/1.07 (* end of lemma zenon_L472_ *) % 0.90/1.07 assert (zenon_L473_ : ((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp17)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H178 zenon_H148 zenon_H7e zenon_Heb zenon_Hea zenon_Hec zenon_H80 zenon_H294 zenon_H293 zenon_H292 zenon_H13c zenon_H13e zenon_H103 zenon_H104 zenon_H105 zenon_H11f zenon_Hab zenon_Hac zenon_Had. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.90/1.07 apply (zenon_L317_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.90/1.07 apply (zenon_L460_); trivial. % 0.90/1.07 apply (zenon_L41_); trivial. % 0.90/1.07 (* end of lemma zenon_L473_ *) % 0.90/1.07 assert (zenon_L474_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H77 zenon_H17b zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H16c zenon_Heb zenon_Hea zenon_Hec zenon_H80 zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_H148 zenon_H123 zenon_Hd9 zenon_H128. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.90/1.07 apply (zenon_L55_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.90/1.07 apply (zenon_L64_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.90/1.07 apply (zenon_L316_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.90/1.07 apply (zenon_L460_); trivial. % 0.90/1.07 apply (zenon_L41_); trivial. % 0.90/1.07 apply (zenon_L473_); trivial. % 0.90/1.07 apply (zenon_L461_); trivial. % 0.90/1.07 apply (zenon_L448_); trivial. % 0.90/1.07 (* end of lemma zenon_L474_ *) % 0.90/1.07 assert (zenon_L475_ : ((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((hskp26)\/(hskp12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_Hf3 zenon_H209 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_Hd6 zenon_H1cf zenon_Hc8 zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_H1d7 zenon_H1f9 zenon_H13c zenon_H13e zenon_H11f zenon_H9f zenon_H101 zenon_H11c zenon_H123 zenon_H77 zenon_H8c zenon_Hd9 zenon_H18b zenon_H128 zenon_H148 zenon_H80 zenon_H16c zenon_H17b zenon_Hba zenon_H192 zenon_H129. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.07 apply (zenon_L472_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.07 apply (zenon_L464_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.07 apply (zenon_L314_); trivial. % 0.90/1.07 apply (zenon_L474_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.07 apply (zenon_L472_); trivial. % 0.90/1.07 apply (zenon_L470_); trivial. % 0.90/1.07 (* end of lemma zenon_L475_ *) % 0.90/1.07 assert (zenon_L476_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(hskp18)) -> (~(hskp30)) -> (ndr1_0) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp8)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H9b zenon_H2a zenon_H29 zenon_H28 zenon_Hd7 zenon_H1b7 zenon_H12 zenon_H292 zenon_H293 zenon_H294 zenon_H21f zenon_Hea zenon_Heb zenon_Hec zenon_H13c zenon_H13e zenon_Hf3 zenon_H98. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.90/1.07 apply (zenon_L15_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.90/1.07 apply (zenon_L77_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.90/1.07 apply (zenon_L59_); trivial. % 0.90/1.07 apply (zenon_L466_); trivial. % 0.90/1.07 exact (zenon_H98 zenon_H99). % 0.90/1.07 (* end of lemma zenon_L476_ *) % 0.90/1.07 assert (zenon_L477_ : ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))) -> (c3_1 (a1372)) -> (c1_1 (a1372)) -> (c0_1 (a1372)) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H27c zenon_H294 zenon_H293 zenon_H292 zenon_Ha0 zenon_H1c7 zenon_H1c6 zenon_H1c5 zenon_H12 zenon_H1f. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H50 | zenon_intro zenon_H27d ]. % 0.90/1.07 apply (zenon_L465_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H10c | zenon_intro zenon_H20 ]. % 0.90/1.07 apply (zenon_L126_); trivial. % 0.90/1.07 exact (zenon_H1f zenon_H20). % 0.90/1.07 (* end of lemma zenon_L477_ *) % 0.90/1.07 assert (zenon_L478_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((hskp26)\/(hskp12)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hb9 zenon_H78 zenon_H3e zenon_H3b zenon_H2a zenon_H29 zenon_H28 zenon_Hd6 zenon_H9f zenon_H9b zenon_H98 zenon_Hf zenon_H80 zenon_H8c zenon_H26 zenon_H77 zenon_H1d4 zenon_H27c zenon_Hf3 zenon_H292 zenon_H293 zenon_H294 zenon_H21f zenon_H13e zenon_H13c zenon_H148 zenon_H128 zenon_Hba zenon_H129. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.07 apply (zenon_L53_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.07 apply (zenon_L39_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ce ]. % 0.90/1.07 apply (zenon_L476_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H12. zenon_intro zenon_H1d0. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1c5. zenon_intro zenon_H1d1. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1c6. zenon_intro zenon_H1c7. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.90/1.07 apply (zenon_L15_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.90/1.07 apply (zenon_L77_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.90/1.07 apply (zenon_L59_); trivial. % 0.90/1.07 apply (zenon_L477_); trivial. % 0.90/1.07 exact (zenon_H98 zenon_H99). % 0.90/1.07 apply (zenon_L344_); trivial. % 0.90/1.07 apply (zenon_L440_); trivial. % 0.90/1.07 (* end of lemma zenon_L478_ *) % 0.90/1.07 assert (zenon_L479_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (ndr1_0) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp17)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (~(hskp27)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp8)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H9b zenon_H42 zenon_Had zenon_Hac zenon_Hab zenon_H12 zenon_H13c zenon_H13e zenon_H16c zenon_H7e zenon_Heb zenon_Hea zenon_Hec zenon_H10d zenon_H10f zenon_H110 zenon_H80 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H169 zenon_H148 zenon_H98. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.90/1.07 apply (zenon_L110_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.90/1.07 apply (zenon_L316_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.90/1.07 apply (zenon_L77_); trivial. % 0.90/1.07 apply (zenon_L41_); trivial. % 0.90/1.07 exact (zenon_H98 zenon_H99). % 0.90/1.07 (* end of lemma zenon_L479_ *) % 0.90/1.07 assert (zenon_L480_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (ndr1_0) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c2_1 (a1307)) -> (c1_1 (a1307)) -> (c0_1 (a1307)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (~(hskp17)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp8)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H9b zenon_H42 zenon_Had zenon_Hac zenon_Hab zenon_H12 zenon_H13c zenon_H13e zenon_H80 zenon_H171 zenon_H170 zenon_H16f zenon_Hec zenon_Hea zenon_Heb zenon_H7e zenon_H148 zenon_H98. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.90/1.07 apply (zenon_L110_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.90/1.07 apply (zenon_L317_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.90/1.07 apply (zenon_L77_); trivial. % 0.90/1.07 apply (zenon_L41_); trivial. % 0.90/1.07 exact (zenon_H98 zenon_H99). % 0.90/1.07 (* end of lemma zenon_L480_ *) % 0.90/1.07 assert (zenon_L481_ : ((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp17)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp14)) -> (~(hskp8)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H178 zenon_H225 zenon_H148 zenon_H7e zenon_Heb zenon_Hea zenon_Hec zenon_H80 zenon_H13e zenon_H13c zenon_Hab zenon_Hac zenon_Had zenon_H9b zenon_H1f5 zenon_H98. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H42 | zenon_intro zenon_H226 ]. % 0.90/1.07 apply (zenon_L480_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H99 ]. % 0.90/1.07 exact (zenon_H1f5 zenon_H1f6). % 0.90/1.07 exact (zenon_H98 zenon_H99). % 0.90/1.07 (* end of lemma zenon_L481_ *) % 0.90/1.07 assert (zenon_L482_ : ((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H72 zenon_H17b zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H9b zenon_H98 zenon_H16c zenon_Heb zenon_Hea zenon_Hec zenon_H7e zenon_H80 zenon_H13c zenon_H13e zenon_H148 zenon_Had zenon_Hab zenon_Hac zenon_H1f5 zenon_H225 zenon_H123. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.90/1.07 apply (zenon_L64_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H42 | zenon_intro zenon_H226 ]. % 0.90/1.07 apply (zenon_L479_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H99 ]. % 0.90/1.07 exact (zenon_H1f5 zenon_H1f6). % 0.90/1.07 exact (zenon_H98 zenon_H99). % 0.90/1.07 apply (zenon_L481_); trivial. % 0.90/1.07 (* end of lemma zenon_L482_ *) % 0.90/1.07 assert (zenon_L483_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(hskp18)) -> ((hskp20)\/(hskp18)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H77 zenon_H17b zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H9b zenon_H98 zenon_H16c zenon_Heb zenon_Hea zenon_Hec zenon_H7e zenon_H80 zenon_H13c zenon_H13e zenon_H148 zenon_Had zenon_Hab zenon_Hac zenon_H1f5 zenon_H225 zenon_H123 zenon_Hd7 zenon_Hd9. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.90/1.07 apply (zenon_L55_); trivial. % 0.90/1.07 apply (zenon_L482_); trivial. % 0.90/1.07 (* end of lemma zenon_L483_ *) % 0.90/1.07 assert (zenon_L484_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H77 zenon_H17b zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H9b zenon_H98 zenon_H16c zenon_Heb zenon_Hea zenon_Hec zenon_H80 zenon_H13c zenon_H13e zenon_H148 zenon_H1f5 zenon_H225 zenon_H123 zenon_Hd9 zenon_H28 zenon_H29 zenon_H2a zenon_H128. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.90/1.07 apply (zenon_L483_); trivial. % 0.90/1.07 apply (zenon_L344_); trivial. % 0.90/1.07 apply (zenon_L207_); trivial. % 0.90/1.07 (* end of lemma zenon_L484_ *) % 0.90/1.07 assert (zenon_L485_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hba zenon_H17b zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H16c zenon_Heb zenon_Hea zenon_Hec zenon_H80 zenon_H13c zenon_H13e zenon_H148 zenon_H1f5 zenon_H225 zenon_H123 zenon_H128 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_Hd9 zenon_H8c zenon_H77 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.07 apply (zenon_L347_); trivial. % 0.90/1.07 apply (zenon_L484_); trivial. % 0.90/1.07 (* end of lemma zenon_L485_ *) % 0.90/1.07 assert (zenon_L486_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H18f zenon_H209 zenon_H278 zenon_H26 zenon_H9f zenon_H9b zenon_H98 zenon_H2a zenon_H29 zenon_H28 zenon_H77 zenon_H8c zenon_Hd9 zenon_H1f zenon_H18b zenon_H128 zenon_H123 zenon_H225 zenon_H148 zenon_H13e zenon_H13c zenon_H80 zenon_Hec zenon_Hea zenon_Heb zenon_H16c zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_H17b zenon_Hba. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.08 apply (zenon_L485_); trivial. % 0.90/1.08 apply (zenon_L354_); trivial. % 0.90/1.08 (* end of lemma zenon_L486_ *) % 0.90/1.08 assert (zenon_L487_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H131 zenon_H192 zenon_H209 zenon_H278 zenon_H26 zenon_H9f zenon_H77 zenon_H8c zenon_Hd9 zenon_H1f zenon_H18b zenon_H128 zenon_H123 zenon_H225 zenon_H148 zenon_H80 zenon_H16c zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_H17b zenon_Hba zenon_H28 zenon_H29 zenon_H2a zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H13e zenon_H13c zenon_H98 zenon_H9b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.08 apply (zenon_L331_); trivial. % 0.90/1.08 apply (zenon_L486_); trivial. % 0.90/1.08 (* end of lemma zenon_L487_ *) % 0.90/1.08 assert (zenon_L488_ : ((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (c3_1 (a1321)) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((hskp26)\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_Hbb zenon_H129 zenon_H9b zenon_H13c zenon_H13e zenon_Hf3 zenon_H2a zenon_H29 zenon_H28 zenon_H1d7 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_Hf7 zenon_Hf6 zenon_Hf8 zenon_Hc8 zenon_H1cf zenon_Hd6 zenon_H261 zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H24a zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H98 zenon_H225 zenon_H7a zenon_H209. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.08 apply (zenon_L382_); trivial. % 0.90/1.08 apply (zenon_L456_); trivial. % 0.90/1.08 apply (zenon_L471_); trivial. % 0.90/1.08 apply (zenon_L345_); trivial. % 0.90/1.08 (* end of lemma zenon_L488_ *) % 0.90/1.08 assert (zenon_L489_ : ((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((hskp26)\/(hskp12)) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp9)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_Hbb zenon_H129 zenon_Hf3 zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_Hd6 zenon_H28 zenon_H29 zenon_H2a zenon_H3b zenon_H3e zenon_H78. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.08 apply (zenon_L53_); trivial. % 0.90/1.08 apply (zenon_L470_); trivial. % 0.90/1.08 (* end of lemma zenon_L489_ *) % 0.90/1.08 assert (zenon_L490_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H209 zenon_H161 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H9f zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H8c zenon_H77 zenon_H128 zenon_H148 zenon_H13c zenon_H13e zenon_H261 zenon_H246 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H278 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H14d zenon_H22f zenon_H26 zenon_H123 zenon_H24a zenon_H80 zenon_H20c zenon_H21f zenon_Hc8 zenon_H1cf zenon_H1d4 zenon_H224 zenon_Hd6 zenon_Hd4 zenon_H27a zenon_H17b zenon_H78 zenon_H7a zenon_Hba zenon_H1d7. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.08 apply (zenon_L226_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.08 apply (zenon_L459_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.90/1.08 apply (zenon_L292_); trivial. % 0.90/1.08 apply (zenon_L461_); trivial. % 0.90/1.08 apply (zenon_L448_); trivial. % 0.90/1.08 apply (zenon_L462_); trivial. % 0.90/1.08 (* end of lemma zenon_L490_ *) % 0.90/1.08 assert (zenon_L491_ : ((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((hskp20)\/(hskp18)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp26)\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_Hca zenon_H12a zenon_H214 zenon_H101 zenon_H11c zenon_Hd9 zenon_H16c zenon_H129 zenon_H192 zenon_Hf3 zenon_H18b zenon_H1f9 zenon_H1d7 zenon_Hba zenon_H7a zenon_H78 zenon_H17b zenon_H27a zenon_Hd6 zenon_H224 zenon_H1d4 zenon_H1cf zenon_Hc8 zenon_H21f zenon_H20c zenon_H80 zenon_H24a zenon_H123 zenon_H26 zenon_H22f zenon_H14d zenon_H278 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H261 zenon_H13e zenon_H13c zenon_H148 zenon_H128 zenon_H77 zenon_H8c zenon_H4e zenon_H1dc zenon_H1de zenon_H79 zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H9f zenon_H103 zenon_H104 zenon_H105 zenon_H276 zenon_H1b5 zenon_H161 zenon_H209 zenon_Hb9. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.08 apply (zenon_L490_); trivial. % 0.90/1.08 apply (zenon_L469_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.08 apply (zenon_L490_); trivial. % 0.90/1.08 apply (zenon_L470_); trivial. % 0.90/1.08 apply (zenon_L475_); trivial. % 0.90/1.08 (* end of lemma zenon_L491_ *) % 0.90/1.08 assert (zenon_L492_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H17b zenon_H27a zenon_H5e zenon_H73 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H123 zenon_H22f zenon_H14d zenon_H17c zenon_H17e zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H7a zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H103 zenon_H104 zenon_H105 zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H9f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.08 apply (zenon_L459_); trivial. % 0.90/1.08 apply (zenon_L403_); trivial. % 0.90/1.08 (* end of lemma zenon_L492_ *) % 0.90/1.08 assert (zenon_L493_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H17b zenon_H17e zenon_H17c zenon_H27a zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_Hd0 zenon_H1dc zenon_H1de zenon_H8a zenon_H7e zenon_H8c. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H68 | zenon_intro zenon_H8d ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H31 | zenon_intro zenon_H27b ]. % 0.90/1.08 apply (zenon_L390_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H42 | zenon_intro zenon_H16a ]. % 0.90/1.08 apply (zenon_L171_); trivial. % 0.90/1.08 exact (zenon_H169 zenon_H16a). % 0.90/1.08 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H8b | zenon_intro zenon_H7f ]. % 0.90/1.08 exact (zenon_H8a zenon_H8b). % 0.90/1.08 exact (zenon_H7e zenon_H7f). % 0.90/1.08 apply (zenon_L99_); trivial. % 0.90/1.08 (* end of lemma zenon_L493_ *) % 0.90/1.08 assert (zenon_L494_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H9f zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H105 zenon_H104 zenon_H103 zenon_H8c zenon_H8a zenon_H1de zenon_H1dc zenon_Hd0 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H1bc zenon_H1bd zenon_H1be zenon_H27a zenon_H17c zenon_H17e zenon_H17b. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.08 apply (zenon_L493_); trivial. % 0.90/1.08 apply (zenon_L448_); trivial. % 0.90/1.08 (* end of lemma zenon_L494_ *) % 0.90/1.08 assert (zenon_L495_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H16b zenon_Hd4 zenon_H15a zenon_H159 zenon_H158 zenon_H5e zenon_H63 zenon_H17b zenon_H17e zenon_H17c zenon_H27a zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_Hd0 zenon_H1dc zenon_H1de zenon_H8c zenon_H103 zenon_H104 zenon_H105 zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H9f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.08 apply (zenon_L494_); trivial. % 0.90/1.08 apply (zenon_L393_); trivial. % 0.90/1.08 (* end of lemma zenon_L495_ *) % 0.90/1.08 assert (zenon_L496_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H209 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H9f zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H8c zenon_H1de zenon_H1dc zenon_Hd0 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H27a zenon_H17c zenon_H17e zenon_H17b zenon_H63 zenon_H5e zenon_H158 zenon_H159 zenon_H15a zenon_Hd4 zenon_H16b zenon_Hba zenon_H1d7. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.08 apply (zenon_L226_); trivial. % 0.90/1.08 apply (zenon_L495_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.08 apply (zenon_L235_); trivial. % 0.90/1.08 apply (zenon_L495_); trivial. % 0.90/1.08 (* end of lemma zenon_L496_ *) % 0.90/1.08 assert (zenon_L497_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> ((hskp20)\/(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H9f zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H105 zenon_H104 zenon_H103 zenon_H77 zenon_H8c zenon_H8a zenon_Hd9 zenon_Hb4 zenon_Hea zenon_Heb zenon_Hec zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H128. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.08 apply (zenon_L277_); trivial. % 0.90/1.08 apply (zenon_L448_); trivial. % 0.90/1.08 (* end of lemma zenon_L497_ *) % 0.90/1.08 assert (zenon_L498_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H131 zenon_H192 zenon_H209 zenon_H1b5 zenon_H276 zenon_H123 zenon_H11c zenon_H161 zenon_H158 zenon_H159 zenon_H15a zenon_H18d zenon_H1d7 zenon_H9f zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H105 zenon_H104 zenon_H103 zenon_H77 zenon_H8c zenon_Hd9 zenon_Hb4 zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H128 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H73 zenon_H5e zenon_H27a zenon_H17e zenon_H17b zenon_Hba. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.08 apply (zenon_L497_); trivial. % 0.90/1.08 apply (zenon_L404_); trivial. % 0.90/1.08 apply (zenon_L407_); trivial. % 0.90/1.08 (* end of lemma zenon_L498_ *) % 0.90/1.08 assert (zenon_L499_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (ndr1_0) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.90/1.08 do 0 intro. intros zenon_H11f zenon_H1be zenon_H1bd zenon_H1bc zenon_H42 zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H91 zenon_H90 zenon_H8f zenon_H12 zenon_H10d zenon_H10f zenon_H110. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.90/1.08 apply (zenon_L371_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.90/1.08 apply (zenon_L36_); trivial. % 0.90/1.08 apply (zenon_L67_); trivial. % 0.90/1.08 (* end of lemma zenon_L499_ *) % 0.90/1.08 assert (zenon_L500_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> False). % 0.90/1.08 do 0 intro. intros zenon_H9a zenon_H123 zenon_H18d zenon_H1bc zenon_H1bd zenon_H1be zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H11f zenon_H184 zenon_H183 zenon_H182 zenon_H158 zenon_H159 zenon_H15a zenon_H161. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.90/1.08 apply (zenon_L88_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H157 | zenon_intro zenon_H18e ]. % 0.90/1.08 apply (zenon_L87_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H181 | zenon_intro zenon_H42 ]. % 0.90/1.08 apply (zenon_L103_); trivial. % 0.90/1.08 apply (zenon_L499_); trivial. % 0.90/1.08 (* end of lemma zenon_L500_ *) % 0.90/1.08 assert (zenon_L501_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H7a zenon_H78 zenon_H17b zenon_H27a zenon_Hd4 zenon_Hd6 zenon_H278 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_Hd0 zenon_H1dc zenon_H1de zenon_H80 zenon_H14d zenon_H22f zenon_H26 zenon_H294 zenon_H293 zenon_H292 zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_H148 zenon_H128 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H11c zenon_H123 zenon_H9f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.08 apply (zenon_L374_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.90/1.08 apply (zenon_L414_); trivial. % 0.90/1.08 apply (zenon_L461_); trivial. % 0.90/1.08 apply (zenon_L500_); trivial. % 0.90/1.08 (* end of lemma zenon_L501_ *) % 0.90/1.08 assert (zenon_L502_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H131 zenon_H192 zenon_H7a zenon_H18d zenon_H15a zenon_H159 zenon_H158 zenon_H22 zenon_H1f zenon_H18b zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.08 apply (zenon_L464_); trivial. % 0.90/1.08 apply (zenon_L106_); trivial. % 0.90/1.08 (* end of lemma zenon_L502_ *) % 0.90/1.08 assert (zenon_L503_ : ((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_Hf3 zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16c zenon_H16b zenon_H123 zenon_H17e zenon_H18b zenon_H22 zenon_H18d zenon_H7a zenon_H192 zenon_H129. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.90/1.08 apply (zenon_L107_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.90/1.08 apply (zenon_L95_); trivial. % 0.90/1.08 apply (zenon_L470_); trivial. % 0.90/1.08 (* end of lemma zenon_L503_ *) % 0.90/1.08 assert (zenon_L504_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H7a zenon_H18d zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H26 zenon_H161 zenon_H80 zenon_H278 zenon_H14d zenon_H22f zenon_H123 zenon_H11c zenon_H13c zenon_H13e zenon_H148 zenon_H128 zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H103 zenon_H104 zenon_H105 zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.08 apply (zenon_L235_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.90/1.08 apply (zenon_L459_); trivial. % 0.90/1.08 apply (zenon_L424_); trivial. % 0.90/1.08 (* end of lemma zenon_L504_ *) % 0.90/1.08 assert (zenon_L505_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H192 zenon_H209 zenon_H1b5 zenon_H276 zenon_H9f zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H8c zenon_H77 zenon_H128 zenon_H148 zenon_H261 zenon_H224 zenon_Hd4 zenon_H16b zenon_H20c zenon_H246 zenon_H278 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H14d zenon_H22f zenon_H26 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H80 zenon_H24a zenon_H123 zenon_H18d zenon_H7a zenon_H11c zenon_Hba zenon_H1d7 zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.90/1.08 apply (zenon_L464_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.90/1.08 apply (zenon_L226_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.08 apply (zenon_L459_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.08 apply (zenon_L430_); trivial. % 0.92/1.08 apply (zenon_L461_); trivial. % 0.92/1.08 apply (zenon_L500_); trivial. % 0.92/1.08 apply (zenon_L504_); trivial. % 0.92/1.08 (* end of lemma zenon_L505_ *) % 0.92/1.08 assert (zenon_L506_ : ((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hca zenon_H12a zenon_H17b zenon_H16c zenon_H17e zenon_H129 zenon_H22 zenon_H18b zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H1d7 zenon_Hba zenon_H11c zenon_H7a zenon_H18d zenon_H123 zenon_H24a zenon_H80 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H26 zenon_H22f zenon_H14d zenon_H278 zenon_H246 zenon_H20c zenon_H16b zenon_H224 zenon_H261 zenon_H148 zenon_H128 zenon_H77 zenon_H8c zenon_H4e zenon_H1dc zenon_H1de zenon_H79 zenon_H9f zenon_H276 zenon_H1b5 zenon_H209 zenon_H192 zenon_Hf3 zenon_Hb9. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.08 apply (zenon_L505_); trivial. % 0.92/1.08 apply (zenon_L502_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.08 apply (zenon_L505_); trivial. % 0.92/1.08 apply (zenon_L470_); trivial. % 0.92/1.08 apply (zenon_L503_); trivial. % 0.92/1.08 (* end of lemma zenon_L506_ *) % 0.92/1.08 assert (zenon_L507_ : ((~(hskp4))\/((ndr1_0)/\((c0_1 (a1312))/\((~(c1_1 (a1312)))/\(~(c3_1 (a1312))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((hskp30)\/((hskp2)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((hskp20)\/(hskp18)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> ((~(hskp6))\/((ndr1_0)/\((c3_1 (a1315))/\((~(c0_1 (a1315)))/\(~(c1_1 (a1315))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp4)\/(hskp2))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((hskp14)\/((hskp4)\/(hskp1))) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp5)\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((~(hskp5))\/((ndr1_0)/\((c1_1 (a1314))/\((~(c0_1 (a1314)))/\(~(c3_1 (a1314))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2a2 zenon_H28b zenon_H1b5 zenon_H1b9 zenon_H1cf zenon_H1d4 zenon_H1d7 zenon_H11c zenon_Hf3 zenon_H27a zenon_H278 zenon_H20c zenon_H21f zenon_H224 zenon_H276 zenon_H1e7 zenon_H1de zenon_H225 zenon_H1fb zenon_H101 zenon_Hd9 zenon_H1f7 zenon_H1f9 zenon_H128 zenon_H214 zenon_H24a zenon_H246 zenon_H261 zenon_H22f zenon_H27c zenon_H19f zenon_H148 zenon_H14d zenon_H14f zenon_H127 zenon_H129 zenon_H151 zenon_H78 zenon_H134 zenon_Hd6 zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H9f zenon_H290 zenon_H1dc zenon_H1e0 zenon_H209 zenon_Hcf zenon_Hcb zenon_H77 zenon_H73 zenon_H3e zenon_Hf zenon_H22 zenon_H26 zenon_H4e zenon_H60 zenon_H63 zenon_H79 zenon_H7a zenon_H9b zenon_H80 zenon_H8c zenon_Hb4 zenon_Hba zenon_Hb9 zenon_H156 zenon_Hd2 zenon_H192 zenon_H18d zenon_H18b zenon_H17e zenon_H123 zenon_H16b zenon_H16c zenon_H161 zenon_H17b zenon_H12a zenon_H2a3. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H3 | zenon_intro zenon_H2a4 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H28d ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 0.92/1.08 apply (zenon_L453_); trivial. % 0.92/1.08 apply (zenon_L454_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H12. zenon_intro zenon_H28e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H15a. zenon_intro zenon_H28f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H158. zenon_intro zenon_H159. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.92/1.08 apply (zenon_L451_); trivial. % 0.92/1.08 apply (zenon_L115_); trivial. % 0.92/1.08 apply (zenon_L454_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H12. zenon_intro zenon_H2a5. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H1a1. zenon_intro zenon_H2a6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a9. zenon_intro zenon_H1a0. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H28d ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 0.92/1.08 apply (zenon_L129_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.92/1.08 apply (zenon_L138_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.92/1.08 apply (zenon_L134_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.08 apply (zenon_L136_); trivial. % 0.92/1.08 apply (zenon_L456_); trivial. % 0.92/1.08 apply (zenon_L165_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.08 apply (zenon_L169_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.08 apply (zenon_L210_); trivial. % 0.92/1.08 apply (zenon_L458_); trivial. % 0.92/1.08 apply (zenon_L162_); trivial. % 0.92/1.08 apply (zenon_L148_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.08 apply (zenon_L463_); trivial. % 0.92/1.08 apply (zenon_L469_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.08 apply (zenon_L463_); trivial. % 0.92/1.08 apply (zenon_L470_); trivial. % 0.92/1.08 apply (zenon_L475_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.92/1.08 apply (zenon_L478_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.92/1.08 apply (zenon_L346_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.08 apply (zenon_L331_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.08 apply (zenon_L351_); trivial. % 0.92/1.08 apply (zenon_L456_); trivial. % 0.92/1.08 apply (zenon_L471_); trivial. % 0.92/1.08 apply (zenon_L487_); trivial. % 0.92/1.08 apply (zenon_L488_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.08 apply (zenon_L53_); trivial. % 0.92/1.08 apply (zenon_L469_); trivial. % 0.92/1.08 apply (zenon_L489_); trivial. % 0.92/1.08 apply (zenon_L491_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H12. zenon_intro zenon_H28e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H15a. zenon_intro zenon_H28f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H158. zenon_intro zenon_H159. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.92/1.08 apply (zenon_L386_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.08 apply (zenon_L396_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.08 apply (zenon_L226_); trivial. % 0.92/1.08 apply (zenon_L492_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.08 apply (zenon_L235_); trivial. % 0.92/1.08 apply (zenon_L492_); trivial. % 0.92/1.08 apply (zenon_L106_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.08 apply (zenon_L496_); trivial. % 0.92/1.08 apply (zenon_L407_); trivial. % 0.92/1.08 apply (zenon_L498_); trivial. % 0.92/1.08 apply (zenon_L408_); trivial. % 0.92/1.08 apply (zenon_L411_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.92/1.08 apply (zenon_L433_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.08 apply (zenon_L464_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.08 apply (zenon_L226_); trivial. % 0.92/1.08 apply (zenon_L501_); trivial. % 0.92/1.08 apply (zenon_L425_); trivial. % 0.92/1.08 apply (zenon_L502_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.08 apply (zenon_L464_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.08 apply (zenon_L420_); trivial. % 0.92/1.08 apply (zenon_L501_); trivial. % 0.92/1.08 apply (zenon_L470_); trivial. % 0.92/1.08 apply (zenon_L503_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.92/1.08 apply (zenon_L478_); trivial. % 0.92/1.08 apply (zenon_L443_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.08 apply (zenon_L53_); trivial. % 0.92/1.08 apply (zenon_L502_); trivial. % 0.92/1.08 apply (zenon_L489_); trivial. % 0.92/1.08 apply (zenon_L506_); trivial. % 0.92/1.08 (* end of lemma zenon_L507_ *) % 0.92/1.08 assert (zenon_L508_ : ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((hskp26)\/(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp5)\/(hskp6))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> (~(hskp3)) -> (~(hskp4)) -> ((hskp3)\/((hskp4)\/(hskp7))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H156 zenon_H127 zenon_Hd6 zenon_H151 zenon_H129 zenon_Hb9 zenon_Hba zenon_Hb4 zenon_H8c zenon_H80 zenon_H9b zenon_H9f zenon_H7a zenon_H79 zenon_H63 zenon_H5e zenon_H60 zenon_H4e zenon_H26 zenon_H22 zenon_Hf zenon_H3e zenon_H78 zenon_H73 zenon_H77 zenon_Hc8 zenon_Hcb zenon_Hcf zenon_H1 zenon_H3 zenon_H7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.92/1.08 apply (zenon_L4_); trivial. % 0.92/1.08 apply (zenon_L452_); trivial. % 0.92/1.08 (* end of lemma zenon_L508_ *) % 0.92/1.08 assert (zenon_L509_ : (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X)))))) -> (ndr1_0) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1e9 zenon_H12 zenon_H2a7 zenon_H2a8 zenon_H2a9. % 0.92/1.08 generalize (zenon_H1e9 (a1309)). zenon_intro zenon_H2aa. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H2aa); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ab ]. % 0.92/1.08 exact (zenon_H11 zenon_H12). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2ac ]. % 0.92/1.08 exact (zenon_H2a7 zenon_H2ad). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2af | zenon_intro zenon_H2ae ]. % 0.92/1.08 exact (zenon_H2af zenon_H2a8). % 0.92/1.08 exact (zenon_H2ae zenon_H2a9). % 0.92/1.08 (* end of lemma zenon_L509_ *) % 0.92/1.08 assert (zenon_L510_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> (c3_1 (a1315)) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1315))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1e7 zenon_H13e zenon_H19e zenon_H13c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H12 zenon_H5. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e8 ]. % 0.92/1.08 apply (zenon_L135_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H6 ]. % 0.92/1.08 apply (zenon_L509_); trivial. % 0.92/1.08 exact (zenon_H5 zenon_H6). % 0.92/1.08 (* end of lemma zenon_L510_ *) % 0.92/1.08 assert (zenon_L511_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hba zenon_H1fb zenon_H17c zenon_H1f5 zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H3 zenon_H134 zenon_H78 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.08 apply (zenon_L109_); trivial. % 0.92/1.08 apply (zenon_L145_); trivial. % 0.92/1.08 (* end of lemma zenon_L511_ *) % 0.92/1.08 assert (zenon_L512_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a1309))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20)))))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hf5 zenon_H12 zenon_H2a7 zenon_H136 zenon_H2a8 zenon_H2a9. % 0.92/1.08 generalize (zenon_Hf5 (a1309)). zenon_intro zenon_H2b0. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H2b0); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b1 ]. % 0.92/1.08 exact (zenon_H11 zenon_H12). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b2 ]. % 0.92/1.08 exact (zenon_H2a7 zenon_H2ad). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2ae ]. % 0.92/1.08 generalize (zenon_H136 (a1309)). zenon_intro zenon_H2b4. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H2b4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b5 ]. % 0.92/1.08 exact (zenon_H11 zenon_H12). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2b6 ]. % 0.92/1.08 exact (zenon_H2b3 zenon_H2b7). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2af ]. % 0.92/1.08 exact (zenon_H2a7 zenon_H2ad). % 0.92/1.08 exact (zenon_H2af zenon_H2a8). % 0.92/1.08 exact (zenon_H2ae zenon_H2a9). % 0.92/1.08 (* end of lemma zenon_L512_ *) % 0.92/1.08 assert (zenon_L513_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c2_1 (a1348)) -> (c1_1 (a1348)) -> (~(c0_1 (a1348))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20)))))) -> (~(c2_1 (a1309))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H101 zenon_H6b zenon_H6a zenon_H69 zenon_H2a9 zenon_H2a8 zenon_H136 zenon_H2a7 zenon_H12 zenon_Hff. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H68 | zenon_intro zenon_H102 ]. % 0.92/1.08 apply (zenon_L26_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H100 ]. % 0.92/1.08 apply (zenon_L512_); trivial. % 0.92/1.08 exact (zenon_Hff zenon_H100). % 0.92/1.08 (* end of lemma zenon_L513_ *) % 0.92/1.08 assert (zenon_L514_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp28)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c0_1 (a1348))) -> (c1_1 (a1348)) -> (c2_1 (a1348)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H148 zenon_Hff zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H69 zenon_H6a zenon_H6b zenon_H101 zenon_H13e zenon_H13c zenon_H8e zenon_H12 zenon_Hab zenon_Hac zenon_Had. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.08 apply (zenon_L513_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.08 apply (zenon_L77_); trivial. % 0.92/1.08 apply (zenon_L41_); trivial. % 0.92/1.08 (* end of lemma zenon_L514_ *) % 0.92/1.08 assert (zenon_L515_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (ndr1_0) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c2_1 (a1348)) -> (c1_1 (a1348)) -> (~(c0_1 (a1348))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp28)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp8)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H9b zenon_H2a zenon_H29 zenon_H28 zenon_Had zenon_Hac zenon_Hab zenon_H12 zenon_H13c zenon_H13e zenon_H101 zenon_H6b zenon_H6a zenon_H69 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Hff zenon_H148 zenon_H98. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.92/1.08 apply (zenon_L15_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.92/1.08 apply (zenon_L514_); trivial. % 0.92/1.08 exact (zenon_H98 zenon_H99). % 0.92/1.08 (* end of lemma zenon_L515_ *) % 0.92/1.08 assert (zenon_L516_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp17)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20)))))) -> (~(c2_1 (a1309))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H16c zenon_H7e zenon_Heb zenon_Hea zenon_Hec zenon_H10d zenon_H10f zenon_H110 zenon_H80 zenon_H2a9 zenon_H2a8 zenon_H136 zenon_H2a7 zenon_H12 zenon_H169. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H162 | zenon_intro zenon_H16e ]. % 0.92/1.08 apply (zenon_L315_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H16a ]. % 0.92/1.08 apply (zenon_L512_); trivial. % 0.92/1.08 exact (zenon_H169 zenon_H16a). % 0.92/1.08 (* end of lemma zenon_L516_ *) % 0.92/1.08 assert (zenon_L517_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp27)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1328)) -> (c2_1 (a1328)) -> (c0_1 (a1328)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (~(hskp17)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H148 zenon_H169 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H80 zenon_H110 zenon_H10f zenon_H10d zenon_Hec zenon_Hea zenon_Heb zenon_H7e zenon_H16c zenon_H13e zenon_H13c zenon_H8e zenon_H12 zenon_Hab zenon_Hac zenon_Had. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.08 apply (zenon_L516_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.08 apply (zenon_L77_); trivial. % 0.92/1.08 apply (zenon_L41_); trivial. % 0.92/1.08 (* end of lemma zenon_L517_ *) % 0.92/1.08 assert (zenon_L518_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(hskp18)) -> ((hskp20)\/(hskp18)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H77 zenon_H17b zenon_H26 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H278 zenon_H9b zenon_H98 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H13c zenon_H13e zenon_Hab zenon_Hac zenon_Had zenon_H148 zenon_H2a zenon_H29 zenon_H28 zenon_H80 zenon_H7e zenon_Hec zenon_Hea zenon_Heb zenon_H16c zenon_H123 zenon_Hd7 zenon_Hd9. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.08 apply (zenon_L55_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.08 apply (zenon_L515_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.92/1.08 apply (zenon_L15_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.92/1.08 apply (zenon_L517_); trivial. % 0.92/1.08 exact (zenon_H98 zenon_H99). % 0.92/1.08 apply (zenon_L302_); trivial. % 0.92/1.08 (* end of lemma zenon_L518_ *) % 0.92/1.08 assert (zenon_L519_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H77 zenon_H17b zenon_H26 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H278 zenon_H9b zenon_H98 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H13c zenon_H13e zenon_H148 zenon_H2a zenon_H29 zenon_H28 zenon_H80 zenon_Hec zenon_Hea zenon_Heb zenon_H16c zenon_H123 zenon_Hd9 zenon_H128. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.08 apply (zenon_L518_); trivial. % 0.92/1.08 apply (zenon_L344_); trivial. % 0.92/1.08 apply (zenon_L38_); trivial. % 0.92/1.08 (* end of lemma zenon_L519_ *) % 0.92/1.08 assert (zenon_L520_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (~(hskp13)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H209 zenon_H17b zenon_H278 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H13c zenon_H13e zenon_H148 zenon_Hec zenon_Hea zenon_Heb zenon_H16c zenon_H123 zenon_Hd9 zenon_H128 zenon_H9f zenon_H9b zenon_H98 zenon_H2a zenon_H29 zenon_H28 zenon_H78 zenon_H134 zenon_H3 zenon_Hf zenon_H80 zenon_H8c zenon_H26 zenon_H77 zenon_H17c zenon_H1fb zenon_Hba. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.08 apply (zenon_L511_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.08 apply (zenon_L109_); trivial. % 0.92/1.08 apply (zenon_L519_); trivial. % 0.92/1.08 (* end of lemma zenon_L520_ *) % 0.92/1.08 assert (zenon_L521_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp27)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (~(hskp17)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (~(hskp11)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H11e zenon_H18b zenon_H169 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H80 zenon_Hec zenon_Hea zenon_Heb zenon_H7e zenon_H16c zenon_H184 zenon_H183 zenon_H182 zenon_H1f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H136 | zenon_intro zenon_H18c ]. % 0.92/1.08 apply (zenon_L516_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H181 | zenon_intro zenon_H20 ]. % 0.92/1.08 apply (zenon_L103_); trivial. % 0.92/1.08 exact (zenon_H1f zenon_H20). % 0.92/1.08 (* end of lemma zenon_L521_ *) % 0.92/1.08 assert (zenon_L522_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (~(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (ndr1_0) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c0_1 (a1348))) -> (c1_1 (a1348)) -> (c2_1 (a1348)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H123 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_H80 zenon_H7e zenon_Hec zenon_Hea zenon_Heb zenon_H169 zenon_H16c zenon_H12 zenon_H28 zenon_H29 zenon_H2a zenon_H148 zenon_Had zenon_Hac zenon_Hab zenon_H13e zenon_H13c zenon_H69 zenon_H6a zenon_H6b zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H98 zenon_H9b. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.08 apply (zenon_L515_); trivial. % 0.92/1.08 apply (zenon_L521_); trivial. % 0.92/1.08 (* end of lemma zenon_L522_ *) % 0.92/1.08 assert (zenon_L523_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H18f zenon_H209 zenon_Hba zenon_H17b zenon_H26 zenon_H278 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H13c zenon_H13e zenon_H148 zenon_H16c zenon_H80 zenon_H123 zenon_H128 zenon_Hd9 zenon_H8c zenon_H77 zenon_H28 zenon_H29 zenon_H2a zenon_H9b zenon_H9f zenon_H18b zenon_Heb zenon_Hea zenon_Hec zenon_H1f zenon_H22 zenon_H98 zenon_H225 zenon_H7a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.08 apply (zenon_L163_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.08 apply (zenon_L347_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.08 apply (zenon_L55_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.08 apply (zenon_L522_); trivial. % 0.92/1.08 apply (zenon_L302_); trivial. % 0.92/1.08 apply (zenon_L344_); trivial. % 0.92/1.08 apply (zenon_L38_); trivial. % 0.92/1.08 (* end of lemma zenon_L523_ *) % 0.92/1.08 assert (zenon_L524_ : ((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((hskp26)\/(hskp12)) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hbb zenon_H129 zenon_H13c zenon_H13e zenon_Hf3 zenon_H78 zenon_H134 zenon_H3 zenon_Hd6 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.08 apply (zenon_L74_); trivial. % 0.92/1.08 apply (zenon_L345_); trivial. % 0.92/1.08 (* end of lemma zenon_L524_ *) % 0.92/1.08 assert (zenon_L525_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((hskp26)\/(hskp12)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hb9 zenon_Hf3 zenon_H9f zenon_H9b zenon_H98 zenon_H2a zenon_H29 zenon_H28 zenon_Hd6 zenon_H3 zenon_H134 zenon_H78 zenon_H209 zenon_H17b zenon_H278 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H13c zenon_H13e zenon_H148 zenon_H16c zenon_H123 zenon_Hd9 zenon_H128 zenon_Hf zenon_H80 zenon_H8c zenon_H26 zenon_H77 zenon_H1fb zenon_Hba zenon_H7a zenon_H225 zenon_H22 zenon_H18b zenon_H192 zenon_H129. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.09 apply (zenon_L74_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.09 apply (zenon_L520_); trivial. % 0.92/1.09 apply (zenon_L523_); trivial. % 0.92/1.09 apply (zenon_L524_); trivial. % 0.92/1.09 (* end of lemma zenon_L525_ *) % 0.92/1.09 assert (zenon_L526_ : (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6)))))) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> False). % 0.92/1.09 do 0 intro. intros zenon_He9 zenon_H12 zenon_Hf5 zenon_H2a7 zenon_H2a9 zenon_H2a8. % 0.92/1.09 generalize (zenon_He9 (a1309)). zenon_intro zenon_H2b8. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H2b8); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b9 ]. % 0.92/1.09 exact (zenon_H11 zenon_H12). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2ac ]. % 0.92/1.09 generalize (zenon_Hf5 (a1309)). zenon_intro zenon_H2b0. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H2b0); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b1 ]. % 0.92/1.09 exact (zenon_H11 zenon_H12). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b2 ]. % 0.92/1.09 exact (zenon_H2a7 zenon_H2ad). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2ae ]. % 0.92/1.09 exact (zenon_H2b3 zenon_H2b7). % 0.92/1.09 exact (zenon_H2ae zenon_H2a9). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2af | zenon_intro zenon_H2ae ]. % 0.92/1.09 exact (zenon_H2af zenon_H2a8). % 0.92/1.09 exact (zenon_H2ae zenon_H2a9). % 0.92/1.09 (* end of lemma zenon_L526_ *) % 0.92/1.09 assert (zenon_L527_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(hskp23)) -> (~(hskp22)) -> (~(c0_1 (a1334))) -> (c2_1 (a1334)) -> (c3_1 (a1334)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))) -> (~(hskp28)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H101 zenon_H248 zenon_H1d zenon_H8f zenon_H90 zenon_H91 zenon_H24a zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H12 zenon_He9 zenon_Hff. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H68 | zenon_intro zenon_H102 ]. % 0.92/1.09 apply (zenon_L190_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H100 ]. % 0.92/1.09 apply (zenon_L526_); trivial. % 0.92/1.09 exact (zenon_Hff zenon_H100). % 0.92/1.09 (* end of lemma zenon_L527_ *) % 0.92/1.09 assert (zenon_L528_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1334))) -> (c2_1 (a1334)) -> (c3_1 (a1334)) -> (~(hskp22)) -> (~(hskp23)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H123 zenon_H11f zenon_H11c zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H101 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H8f zenon_H90 zenon_H91 zenon_H1d zenon_H248 zenon_H24a zenon_H3 zenon_H151. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H52 | zenon_intro zenon_H152 ]. % 0.92/1.09 apply (zenon_L65_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_He9 | zenon_intro zenon_H4 ]. % 0.92/1.09 apply (zenon_L527_); trivial. % 0.92/1.09 exact (zenon_H3 zenon_H4). % 0.92/1.09 apply (zenon_L68_); trivial. % 0.92/1.09 (* end of lemma zenon_L528_ *) % 0.92/1.09 assert (zenon_L529_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H151 zenon_H105 zenon_H104 zenon_H103 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_Hf5 zenon_H12 zenon_H3. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H52 | zenon_intro zenon_H152 ]. % 0.92/1.09 apply (zenon_L65_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_He9 | zenon_intro zenon_H4 ]. % 0.92/1.09 apply (zenon_L526_); trivial. % 0.92/1.09 exact (zenon_H3 zenon_H4). % 0.92/1.09 (* end of lemma zenon_L529_ *) % 0.92/1.09 assert (zenon_L530_ : ((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp4)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (~(hskp3)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H25c zenon_H25d zenon_H3 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H103 zenon_H104 zenon_H105 zenon_H151 zenon_H1. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.92/1.09 apply (zenon_L193_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.92/1.09 apply (zenon_L529_); trivial. % 0.92/1.09 exact (zenon_H1 zenon_H2). % 0.92/1.09 (* end of lemma zenon_L530_ *) % 0.92/1.09 assert (zenon_L531_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp22)) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H261 zenon_H25d zenon_H1 zenon_H151 zenon_H3 zenon_H24a zenon_H1d zenon_H91 zenon_H90 zenon_H8f zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H101 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H11c zenon_H11f zenon_H123. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.09 apply (zenon_L528_); trivial. % 0.92/1.09 apply (zenon_L530_); trivial. % 0.92/1.09 (* end of lemma zenon_L531_ *) % 0.92/1.09 assert (zenon_L532_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H9f zenon_H7a zenon_H17b zenon_H17e zenon_H17c zenon_H27a zenon_H123 zenon_H11f zenon_H11c zenon_H103 zenon_H104 zenon_H105 zenon_H101 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H24a zenon_H151 zenon_H1 zenon_H25d zenon_H261 zenon_Hd6 zenon_Hd4 zenon_H3 zenon_H134 zenon_H78. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.09 apply (zenon_L73_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.09 apply (zenon_L531_); trivial. % 0.92/1.09 apply (zenon_L270_); trivial. % 0.92/1.09 (* end of lemma zenon_L532_ *) % 0.92/1.09 assert (zenon_L533_ : ((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> (~(hskp28)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c0_1 (a1348))) -> (c1_1 (a1348)) -> (c2_1 (a1348)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(hskp12)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H21 zenon_H2ba zenon_Hff zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H69 zenon_H6a zenon_H6b zenon_H101 zenon_Hd4. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H136 | zenon_intro zenon_H2bb ]. % 0.92/1.09 apply (zenon_L513_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H13 | zenon_intro zenon_Hd5 ]. % 0.92/1.09 apply (zenon_L10_); trivial. % 0.92/1.09 exact (zenon_Hd4 zenon_Hd5). % 0.92/1.09 (* end of lemma zenon_L533_ *) % 0.92/1.09 assert (zenon_L534_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1330)) -> (~(c2_1 (a1330))) -> (~(c1_1 (a1330))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp12)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> (~(hskp18)) -> ((hskp20)\/(hskp18)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H77 zenon_H123 zenon_H11f zenon_H11c zenon_H91 zenon_H90 zenon_H8f zenon_H105 zenon_H104 zenon_H103 zenon_H278 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Hd4 zenon_H2ba zenon_H26 zenon_Hd7 zenon_Hd9. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.09 apply (zenon_L55_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.92/1.09 apply (zenon_L236_); trivial. % 0.92/1.09 apply (zenon_L533_); trivial. % 0.92/1.09 apply (zenon_L68_); trivial. % 0.92/1.09 (* end of lemma zenon_L534_ *) % 0.92/1.09 assert (zenon_L535_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((hskp20)\/(hskp18)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H9a zenon_H128 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_Hd9 zenon_H26 zenon_H2ba zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H278 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H77. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.09 apply (zenon_L534_); trivial. % 0.92/1.09 apply (zenon_L160_); trivial. % 0.92/1.09 (* end of lemma zenon_L535_ *) % 0.92/1.09 assert (zenon_L536_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((hskp20)\/(hskp18)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H206 zenon_H9f zenon_H128 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_Hd9 zenon_H26 zenon_H2ba zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H278 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H77 zenon_Hd6 zenon_Hd4 zenon_H3 zenon_H134 zenon_H78. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.09 apply (zenon_L73_); trivial. % 0.92/1.09 apply (zenon_L535_); trivial. % 0.92/1.09 (* end of lemma zenon_L536_ *) % 0.92/1.09 assert (zenon_L537_ : ((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(c0_1 (a1334))) -> (c2_1 (a1334)) -> (c3_1 (a1334)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp4)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (~(hskp3)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H62 zenon_H25d zenon_H8f zenon_H90 zenon_H91 zenon_H11f zenon_H3 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H103 zenon_H104 zenon_H105 zenon_H151 zenon_H1. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H12. zenon_intro zenon_H64. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H53. zenon_intro zenon_H65. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H66. zenon_intro zenon_H51. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.92/1.09 apply (zenon_L295_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.92/1.09 apply (zenon_L529_); trivial. % 0.92/1.09 exact (zenon_H1 zenon_H2). % 0.92/1.09 (* end of lemma zenon_L537_ *) % 0.92/1.09 assert (zenon_L538_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1334))) -> (c2_1 (a1334)) -> (c3_1 (a1334)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H7a zenon_H79 zenon_Hd zenon_H4e zenon_H123 zenon_H11f zenon_H11c zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H101 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H8f zenon_H90 zenon_H91 zenon_H24a zenon_H3 zenon_H151 zenon_H1 zenon_H25d zenon_H261. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.09 apply (zenon_L531_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H12. zenon_intro zenon_H7c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H44. zenon_intro zenon_H7d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H45. zenon_intro zenon_H43. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H4c | zenon_intro zenon_H62 ]. % 0.92/1.09 apply (zenon_L21_); trivial. % 0.92/1.09 apply (zenon_L537_); trivial. % 0.92/1.09 (* end of lemma zenon_L538_ *) % 0.92/1.09 assert (zenon_L539_ : (forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H10c zenon_H12 zenon_Hda zenon_H2a7 zenon_H2a9 zenon_H2a8. % 0.92/1.09 generalize (zenon_H10c (a1309)). zenon_intro zenon_H2bc. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H2bc); [ zenon_intro zenon_H11 | zenon_intro zenon_H2bd ]. % 0.92/1.09 exact (zenon_H11 zenon_H12). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2ac ]. % 0.92/1.09 generalize (zenon_Hda (a1309)). zenon_intro zenon_H2be. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H2be); [ zenon_intro zenon_H11 | zenon_intro zenon_H2bf ]. % 0.92/1.09 exact (zenon_H11 zenon_H12). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c0 ]. % 0.92/1.09 exact (zenon_H2b3 zenon_H2b7). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2ae ]. % 0.92/1.09 exact (zenon_H2a7 zenon_H2ad). % 0.92/1.09 exact (zenon_H2ae zenon_H2a9). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2af | zenon_intro zenon_H2ae ]. % 0.92/1.09 exact (zenon_H2af zenon_H2a8). % 0.92/1.09 exact (zenon_H2ae zenon_H2a9). % 0.92/1.09 (* end of lemma zenon_L539_ *) % 0.92/1.09 assert (zenon_L540_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H91 zenon_H90 zenon_H8f zenon_H12 zenon_Hda zenon_H2a7 zenon_H2a9 zenon_H2a8. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H52 | zenon_intro zenon_H11d ]. % 0.92/1.09 apply (zenon_L65_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H8e | zenon_intro zenon_H10c ]. % 0.92/1.09 apply (zenon_L36_); trivial. % 0.92/1.09 apply (zenon_L539_); trivial. % 0.92/1.09 (* end of lemma zenon_L540_ *) % 0.92/1.09 assert (zenon_L541_ : ((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H72 zenon_H123 zenon_H11f zenon_H11c zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H91 zenon_H90 zenon_H8f zenon_H105 zenon_H104 zenon_H103 zenon_H101 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.92/1.09 apply (zenon_L540_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H68 | zenon_intro zenon_H102 ]. % 0.92/1.09 apply (zenon_L26_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H100 ]. % 0.92/1.09 apply (zenon_L526_); trivial. % 0.92/1.09 exact (zenon_Hff zenon_H100). % 0.92/1.09 apply (zenon_L40_); trivial. % 0.92/1.09 apply (zenon_L68_); trivial. % 0.92/1.09 (* end of lemma zenon_L541_ *) % 0.92/1.09 assert (zenon_L542_ : ((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((hskp26)\/(hskp12)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hbb zenon_H129 zenon_H78 zenon_H134 zenon_H3 zenon_Hd6 zenon_H7a zenon_H79 zenon_H4e zenon_H123 zenon_H11f zenon_H11c zenon_H103 zenon_H104 zenon_H105 zenon_H101 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H24a zenon_H151 zenon_H1 zenon_H25d zenon_H261 zenon_Hf3 zenon_H77 zenon_H9f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.09 apply (zenon_L73_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.09 apply (zenon_L538_); trivial. % 0.92/1.09 apply (zenon_L541_); trivial. % 0.92/1.09 apply (zenon_L82_); trivial. % 0.92/1.09 (* end of lemma zenon_L542_ *) % 0.92/1.09 assert (zenon_L543_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1328)) -> (c2_1 (a1328)) -> (c0_1 (a1328)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))) -> (~(hskp27)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H16c zenon_H110 zenon_H10f zenon_H10d zenon_H82 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H12 zenon_He9 zenon_H169. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H162 | zenon_intro zenon_H16e ]. % 0.92/1.09 apply (zenon_L90_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H16a ]. % 0.92/1.09 apply (zenon_L526_); trivial. % 0.92/1.09 exact (zenon_H169 zenon_H16a). % 0.92/1.09 (* end of lemma zenon_L543_ *) % 0.92/1.09 assert (zenon_L544_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(hskp27)) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp12)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H16b zenon_H15a zenon_H159 zenon_H158 zenon_H169 zenon_He9 zenon_H12 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H10d zenon_H10f zenon_H110 zenon_H16c zenon_Hd4. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 0.92/1.09 apply (zenon_L87_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H82 | zenon_intro zenon_Hd5 ]. % 0.92/1.09 apply (zenon_L543_); trivial. % 0.92/1.09 exact (zenon_Hd4 zenon_Hd5). % 0.92/1.09 (* end of lemma zenon_L544_ *) % 0.92/1.09 assert (zenon_L545_ : ((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H12b zenon_H129 zenon_H123 zenon_H151 zenon_H3 zenon_H16c zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H16b zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H17b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.09 apply (zenon_L88_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H52 | zenon_intro zenon_H152 ]. % 0.92/1.09 apply (zenon_L65_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_He9 | zenon_intro zenon_H4 ]. % 0.92/1.09 apply (zenon_L544_); trivial. % 0.92/1.09 exact (zenon_H3 zenon_H4). % 0.92/1.09 apply (zenon_L94_); trivial. % 0.92/1.09 apply (zenon_L82_); trivial. % 0.92/1.09 (* end of lemma zenon_L545_ *) % 0.92/1.09 assert (zenon_L546_ : ((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H153 zenon_H127 zenon_H151 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_Hd2 zenon_H5e zenon_H129 zenon_H192 zenon_H7a zenon_H18d zenon_H22 zenon_H18b zenon_H17e zenon_H123 zenon_H16b zenon_H16c zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H17b zenon_H9f zenon_H9b zenon_H78 zenon_H134 zenon_H3 zenon_Hf zenon_H80 zenon_H8c zenon_H26 zenon_H77 zenon_Hb4 zenon_H73 zenon_Hba zenon_Hb9 zenon_H12a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.92/1.09 apply (zenon_L114_); trivial. % 0.92/1.09 apply (zenon_L545_); trivial. % 0.92/1.09 (* end of lemma zenon_L546_ *) % 0.92/1.09 assert (zenon_L547_ : ((ndr1_0)/\((c1_1 (a1314))/\((~(c0_1 (a1314)))/\(~(c3_1 (a1314)))))) -> ((~(hskp6))\/((ndr1_0)/\((c3_1 (a1315))/\((~(c0_1 (a1315)))/\(~(c1_1 (a1315))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((hskp20)\/(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((hskp26)\/(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((hskp14)\/((hskp4)\/(hskp1))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H28d zenon_H19f zenon_H225 zenon_H1fb zenon_H128 zenon_Hd9 zenon_H148 zenon_H101 zenon_H278 zenon_Hd6 zenon_Hf3 zenon_H1e7 zenon_H127 zenon_H129 zenon_H123 zenon_H151 zenon_H16c zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H16b zenon_H161 zenon_H17b zenon_H290 zenon_H1dc zenon_H3 zenon_H1e0 zenon_H209 zenon_H12a zenon_Hb9 zenon_Hba zenon_H73 zenon_Hb4 zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H134 zenon_H78 zenon_H9b zenon_H9f zenon_H17e zenon_H18b zenon_H22 zenon_H18d zenon_H7a zenon_H192 zenon_Hd2 zenon_H156. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H12. zenon_intro zenon_H28e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H15a. zenon_intro zenon_H28f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H158. zenon_intro zenon_H159. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.92/1.09 apply (zenon_L446_); trivial. % 0.92/1.09 apply (zenon_L545_); trivial. % 0.92/1.09 apply (zenon_L546_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.92/1.09 apply (zenon_L510_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.92/1.09 apply (zenon_L525_); trivial. % 0.92/1.09 apply (zenon_L545_); trivial. % 0.92/1.09 (* end of lemma zenon_L547_ *) % 0.92/1.09 assert (zenon_L548_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hcf zenon_Hcb zenon_Hc8 zenon_H60 zenon_H5e zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H98 zenon_H5 zenon_H1e0. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.92/1.09 apply (zenon_L358_); trivial. % 0.92/1.09 apply (zenon_L47_); trivial. % 0.92/1.09 (* end of lemma zenon_L548_ *) % 0.92/1.09 assert (zenon_L549_ : ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1cf zenon_H1be zenon_H1bd zenon_H1bc zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_Hda zenon_H12 zenon_Hc8. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1d2 ]. % 0.92/1.09 apply (zenon_L125_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc9 ]. % 0.92/1.09 apply (zenon_L539_); trivial. % 0.92/1.09 exact (zenon_Hc8 zenon_Hc9). % 0.92/1.09 (* end of lemma zenon_L549_ *) % 0.92/1.09 assert (zenon_L550_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(hskp5)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp13)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1d3 zenon_H1f9 zenon_Hc8 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H1cf zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H17c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fa ]. % 0.92/1.09 apply (zenon_L549_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1af | zenon_intro zenon_H17d ]. % 0.92/1.09 apply (zenon_L120_); trivial. % 0.92/1.09 exact (zenon_H17c zenon_H17d). % 0.92/1.09 (* end of lemma zenon_L550_ *) % 0.92/1.09 assert (zenon_L551_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp13)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H209 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H1cf zenon_Hc8 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H17c zenon_H1f9 zenon_H1d7. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.09 apply (zenon_L226_); trivial. % 0.92/1.09 apply (zenon_L550_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.09 apply (zenon_L235_); trivial. % 0.92/1.09 apply (zenon_L550_); trivial. % 0.92/1.09 (* end of lemma zenon_L551_ *) % 0.92/1.09 assert (zenon_L552_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp28)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c0_1 (a1348))) -> (c1_1 (a1348)) -> (c2_1 (a1348)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H18b zenon_Hff zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H69 zenon_H6a zenon_H6b zenon_H101 zenon_H184 zenon_H183 zenon_H182 zenon_H12 zenon_H1f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H136 | zenon_intro zenon_H18c ]. % 0.92/1.09 apply (zenon_L513_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H181 | zenon_intro zenon_H20 ]. % 0.92/1.09 apply (zenon_L103_); trivial. % 0.92/1.09 exact (zenon_H1f zenon_H20). % 0.92/1.09 (* end of lemma zenon_L552_ *) % 0.92/1.09 assert (zenon_L553_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((hskp20)\/(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H9a zenon_H128 zenon_Hd9 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H77. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.09 apply (zenon_L55_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.09 apply (zenon_L552_); trivial. % 0.92/1.09 apply (zenon_L68_); trivial. % 0.92/1.09 apply (zenon_L160_); trivial. % 0.92/1.09 (* end of lemma zenon_L553_ *) % 0.92/1.09 assert (zenon_L554_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((hskp20)\/(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H9f zenon_H128 zenon_Hd9 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H8c zenon_H77. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.09 apply (zenon_L228_); trivial. % 0.92/1.09 apply (zenon_L553_); trivial. % 0.92/1.09 (* end of lemma zenon_L554_ *) % 0.92/1.09 assert (zenon_L555_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp5)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H124 zenon_H148 zenon_Hc8 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H1bc zenon_H1bd zenon_H1be zenon_H1cf zenon_Hab zenon_Hac zenon_Had. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.09 apply (zenon_L140_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.09 apply (zenon_L549_); trivial. % 0.92/1.09 apply (zenon_L41_); trivial. % 0.92/1.09 (* end of lemma zenon_L555_ *) % 0.92/1.09 assert (zenon_L556_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((hskp20)\/(hskp18)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a1333)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H128 zenon_H148 zenon_H1bc zenon_H1bd zenon_H1be zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_Hc8 zenon_H1cf zenon_Hd9 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H73 zenon_H5e zenon_Had zenon_Hab zenon_Hac zenon_H27a zenon_H278 zenon_H7e zenon_H80 zenon_H26 zenon_H17b zenon_H77. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.09 apply (zenon_L55_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.09 apply (zenon_L401_); trivial. % 0.92/1.09 apply (zenon_L255_); trivial. % 0.92/1.09 apply (zenon_L555_); trivial. % 0.92/1.09 (* end of lemma zenon_L556_ *) % 0.92/1.09 assert (zenon_L557_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((hskp20)\/(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H206 zenon_H9f zenon_Hd9 zenon_H2ba zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H77 zenon_H7a zenon_H78 zenon_H17b zenon_H80 zenon_H27a zenon_Hd4 zenon_Hd6 zenon_H278 zenon_H1f zenon_H22 zenon_H26 zenon_H182 zenon_H183 zenon_H184 zenon_H18b zenon_H128. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.09 apply (zenon_L341_); trivial. % 0.92/1.09 apply (zenon_L535_); trivial. % 0.92/1.09 (* end of lemma zenon_L557_ *) % 0.92/1.09 assert (zenon_L558_ : ((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp17)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp5)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H178 zenon_H148 zenon_H7e zenon_Heb zenon_Hea zenon_Hec zenon_H80 zenon_Hc8 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H1bc zenon_H1bd zenon_H1be zenon_H1cf zenon_Hab zenon_Hac zenon_Had. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.09 apply (zenon_L317_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.09 apply (zenon_L549_); trivial. % 0.92/1.09 apply (zenon_L41_); trivial. % 0.92/1.09 (* end of lemma zenon_L558_ *) % 0.92/1.09 assert (zenon_L559_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (c1_1 (a1333)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (ndr1_0) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H17b zenon_H148 zenon_H1bc zenon_H1bd zenon_H1be zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_Hc8 zenon_H1cf zenon_Heb zenon_Hea zenon_Hec zenon_H7e zenon_H80 zenon_H27a zenon_Had zenon_Hab zenon_Hac zenon_H12 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_Hd0 zenon_H1dc zenon_H1de zenon_H103 zenon_H104 zenon_H105 zenon_H5e zenon_H63. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.09 apply (zenon_L392_); trivial. % 0.92/1.09 apply (zenon_L558_); trivial. % 0.92/1.09 (* end of lemma zenon_L559_ *) % 0.92/1.09 assert (zenon_L560_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H63 zenon_H5e zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H27a zenon_H80 zenon_Hec zenon_Hea zenon_Heb zenon_H1cf zenon_Hc8 zenon_H148 zenon_H17b zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H123 zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H182 zenon_H183 zenon_H184 zenon_H1f zenon_H18b zenon_Hd9 zenon_H128 zenon_H9f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.09 apply (zenon_L554_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.09 apply (zenon_L559_); trivial. % 0.92/1.09 apply (zenon_L553_); trivial. % 0.92/1.09 (* end of lemma zenon_L560_ *) % 0.92/1.09 assert (zenon_L561_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp18)) -> ((hskp20)\/(hskp18)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H77 zenon_H123 zenon_H11f zenon_H11c zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H91 zenon_H90 zenon_H8f zenon_H105 zenon_H104 zenon_H103 zenon_H101 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_Hd7 zenon_Hd9. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.09 apply (zenon_L55_); trivial. % 0.92/1.09 apply (zenon_L541_); trivial. % 0.92/1.09 (* end of lemma zenon_L561_ *) % 0.92/1.09 assert (zenon_L562_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c1_1 (a1339)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))) -> (~(hskp28)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (~(hskp22)) -> (~(hskp23)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf3 zenon_He4 zenon_Hdb zenon_Hdc zenon_Haa zenon_Hff zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H24a zenon_H91 zenon_H90 zenon_H8f zenon_H1d zenon_H248 zenon_H101 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.92/1.09 apply (zenon_L58_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.92/1.09 apply (zenon_L527_); trivial. % 0.92/1.09 apply (zenon_L40_); trivial. % 0.92/1.09 (* end of lemma zenon_L562_ *) % 0.92/1.09 assert (zenon_L563_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c1_1 (a1339)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf3 zenon_He4 zenon_Hdb zenon_Hdc zenon_Haa zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_Hf5 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.92/1.09 apply (zenon_L58_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.92/1.09 apply (zenon_L526_); trivial. % 0.92/1.09 apply (zenon_L40_); trivial. % 0.92/1.09 (* end of lemma zenon_L563_ *) % 0.92/1.09 assert (zenon_L564_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((hskp20)\/(hskp18)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H9f zenon_H128 zenon_H261 zenon_H25d zenon_H1 zenon_H148 zenon_H24a zenon_Hc8 zenon_H1cf zenon_H7a zenon_Hd9 zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H101 zenon_H103 zenon_H104 zenon_H105 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H11c zenon_H11f zenon_H123 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H8c zenon_H77. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.09 apply (zenon_L228_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.09 apply (zenon_L561_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.09 apply (zenon_L140_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.09 apply (zenon_L549_); trivial. % 0.92/1.09 apply (zenon_L562_); trivial. % 0.92/1.09 apply (zenon_L68_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.92/1.09 apply (zenon_L193_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.09 apply (zenon_L512_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.09 apply (zenon_L540_); trivial. % 0.92/1.09 apply (zenon_L563_); trivial. % 0.92/1.09 exact (zenon_H1 zenon_H2). % 0.92/1.09 apply (zenon_L398_); trivial. % 0.92/1.09 apply (zenon_L541_); trivial. % 0.92/1.09 (* end of lemma zenon_L564_ *) % 0.92/1.09 assert (zenon_L565_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H9a zenon_H77 zenon_H123 zenon_H11f zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H148 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hab zenon_Hac zenon_Had zenon_Hb4. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.09 apply (zenon_L42_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.09 apply (zenon_L513_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.09 apply (zenon_L540_); trivial. % 0.92/1.09 apply (zenon_L41_); trivial. % 0.92/1.09 apply (zenon_L68_); trivial. % 0.92/1.09 (* end of lemma zenon_L565_ *) % 0.92/1.09 assert (zenon_L566_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((hskp20)\/(hskp18)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H123 zenon_H11f zenon_H101 zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hb4 zenon_H77 zenon_H17b zenon_H26 zenon_H80 zenon_H278 zenon_H27a zenon_H5e zenon_H73 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_Hd0 zenon_H1dc zenon_H1de zenon_Hd9 zenon_H1cf zenon_Hc8 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H148 zenon_H128. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.09 apply (zenon_L556_); trivial. % 0.92/1.09 apply (zenon_L565_); trivial. % 0.92/1.09 (* end of lemma zenon_L566_ *) % 0.92/1.09 assert (zenon_L567_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (c3_1 (a1321)) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp14)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hb6 zenon_H128 zenon_H148 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H78 zenon_H123 zenon_H214 zenon_H1bc zenon_H1bd zenon_H1be zenon_Hf7 zenon_Hf6 zenon_Hf8 zenon_Hc8 zenon_H1cf zenon_H1f5 zenon_H20c zenon_Hd4 zenon_Hd6 zenon_H21f zenon_H1d4 zenon_H224. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.09 apply (zenon_L159_); trivial. % 0.92/1.09 apply (zenon_L555_); trivial. % 0.92/1.09 (* end of lemma zenon_L567_ *) % 0.92/1.09 assert (zenon_L568_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H18f zenon_H209 zenon_H17b zenon_H278 zenon_H80 zenon_H16c zenon_H26 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H9f zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H11c zenon_H11f zenon_H123 zenon_H77 zenon_H8c zenon_Hd9 zenon_H1f zenon_H18b zenon_H128 zenon_H224 zenon_H1d4 zenon_H21f zenon_Hd6 zenon_Hd4 zenon_H20c zenon_H1cf zenon_Hc8 zenon_H214 zenon_H78 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H148 zenon_Hba zenon_H1d7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.09 apply (zenon_L226_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.09 apply (zenon_L314_); trivial. % 0.92/1.09 apply (zenon_L567_); trivial. % 0.92/1.09 apply (zenon_L312_); trivial. % 0.92/1.09 (* end of lemma zenon_L568_ *) % 0.92/1.09 assert (zenon_L569_ : ((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (~(hskp9)) -> (~(hskp6)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H221 zenon_H60 zenon_H3b zenon_H5e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H222. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H217. zenon_intro zenon_H223. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H218. zenon_intro zenon_H216. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H50 | zenon_intro zenon_H61 ]. % 0.92/1.09 apply (zenon_L156_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3c | zenon_intro zenon_H5f ]. % 0.92/1.09 exact (zenon_H3b zenon_H3c). % 0.92/1.09 exact (zenon_H5e zenon_H5f). % 0.92/1.09 (* end of lemma zenon_L569_ *) % 0.92/1.09 assert (zenon_L570_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (~(hskp6)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp14)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H224 zenon_H60 zenon_H5e zenon_H3b zenon_H123 zenon_H148 zenon_Had zenon_Hac zenon_Hab zenon_H1bc zenon_H1bd zenon_H1be zenon_Hc8 zenon_H1cf zenon_H80 zenon_H7e zenon_Hec zenon_Hea zenon_Heb zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H1f5 zenon_H20c zenon_H17b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H20a | zenon_intro zenon_H221 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.09 apply (zenon_L151_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.09 apply (zenon_L516_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.09 apply (zenon_L549_); trivial. % 0.92/1.09 apply (zenon_L41_); trivial. % 0.92/1.09 apply (zenon_L558_); trivial. % 0.92/1.09 apply (zenon_L569_); trivial. % 0.92/1.09 (* end of lemma zenon_L570_ *) % 0.92/1.09 assert (zenon_L571_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((hskp20)\/(hskp18)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H128 zenon_H148 zenon_Had zenon_Hac zenon_Hab zenon_H1bc zenon_H1bd zenon_H1be zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_Hc8 zenon_H1cf zenon_Hd9 zenon_H123 zenon_H26 zenon_H16c zenon_H7e zenon_H80 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H278 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_H17b zenon_H77. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.09 apply (zenon_L303_); trivial. % 0.92/1.09 apply (zenon_L555_); trivial. % 0.92/1.09 (* end of lemma zenon_L571_ *) % 0.92/1.09 assert (zenon_L572_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H9a zenon_H77 zenon_H123 zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hab zenon_Hac zenon_Had zenon_Hb4. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.09 apply (zenon_L42_); trivial. % 0.92/1.09 apply (zenon_L69_); trivial. % 0.92/1.09 (* end of lemma zenon_L572_ *) % 0.92/1.09 assert (zenon_L573_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1330)) -> (~(c2_1 (a1330))) -> (~(c1_1 (a1330))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hb4 zenon_H77 zenon_H17b zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H278 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H80 zenon_H16c zenon_H26 zenon_H123 zenon_Hd9 zenon_H1cf zenon_Hc8 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H148 zenon_H128. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.09 apply (zenon_L571_); trivial. % 0.92/1.09 apply (zenon_L572_); trivial. % 0.92/1.09 (* end of lemma zenon_L573_ *) % 0.92/1.09 assert (zenon_L574_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> ((hskp20)\/(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H9f zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H101 zenon_H103 zenon_H104 zenon_H105 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H11c zenon_H11f zenon_H123 zenon_H77 zenon_H8c zenon_H8a zenon_Hd9 zenon_Hb4 zenon_Hea zenon_Heb zenon_Hec zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H128. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.09 apply (zenon_L277_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.09 apply (zenon_L561_); trivial. % 0.92/1.09 apply (zenon_L70_); trivial. % 0.92/1.09 (* end of lemma zenon_L574_ *) % 0.92/1.09 assert (zenon_L575_ : ((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> ((hskp26)\/(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp5)\/(hskp6))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H153 zenon_H127 zenon_Hd2 zenon_Hd6 zenon_H128 zenon_H123 zenon_H11f zenon_H11c zenon_H101 zenon_Hf3 zenon_Hd9 zenon_H129 zenon_H12a zenon_Hb9 zenon_Hba zenon_Hb4 zenon_H8c zenon_H80 zenon_H9b zenon_H9f zenon_H7a zenon_H79 zenon_H63 zenon_H5e zenon_H60 zenon_H4e zenon_H26 zenon_H22 zenon_Hf zenon_H3e zenon_H78 zenon_H73 zenon_H77 zenon_Hc8 zenon_Hcb zenon_Hcf. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.92/1.09 apply (zenon_L71_); trivial. % 0.92/1.09 (* end of lemma zenon_L575_ *) % 0.92/1.09 assert (zenon_L576_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H131 zenon_H192 zenon_H209 zenon_Hba zenon_H17b zenon_H26 zenon_H278 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H148 zenon_H16c zenon_H80 zenon_H123 zenon_H128 zenon_Hd9 zenon_H8c zenon_H77 zenon_H9f zenon_H18b zenon_H1f zenon_H22 zenon_H225 zenon_H7a zenon_H28 zenon_H29 zenon_H2a zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H13e zenon_H13c zenon_H98 zenon_H9b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.09 apply (zenon_L331_); trivial. % 0.92/1.09 apply (zenon_L523_); trivial. % 0.92/1.09 (* end of lemma zenon_L576_ *) % 0.92/1.09 assert (zenon_L577_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((hskp26)\/(hskp12)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hb9 zenon_Hf3 zenon_H78 zenon_H3e zenon_H3b zenon_H2a zenon_H29 zenon_H28 zenon_Hd6 zenon_H9b zenon_H98 zenon_H13c zenon_H13e zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9 zenon_H7a zenon_H225 zenon_H22 zenon_H18b zenon_H9f zenon_H77 zenon_H8c zenon_Hd9 zenon_H128 zenon_H123 zenon_H80 zenon_H16c zenon_H148 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H278 zenon_H26 zenon_H17b zenon_Hba zenon_H209 zenon_H192 zenon_H129. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.10 apply (zenon_L53_); trivial. % 0.92/1.10 apply (zenon_L576_); trivial. % 0.92/1.10 apply (zenon_L440_); trivial. % 0.92/1.10 (* end of lemma zenon_L577_ *) % 0.92/1.10 assert (zenon_L578_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp23)) -> (~(hskp22)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c0_1 (a1348))) -> (c1_1 (a1348)) -> (c2_1 (a1348)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H123 zenon_H24a zenon_H248 zenon_H1d zenon_H7e zenon_H80 zenon_H12 zenon_H28 zenon_H29 zenon_H2a zenon_H148 zenon_Had zenon_Hac zenon_Hab zenon_H13e zenon_H13c zenon_H69 zenon_H6a zenon_H6b zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H98 zenon_H9b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.10 apply (zenon_L515_); trivial. % 0.92/1.10 apply (zenon_L201_); trivial. % 0.92/1.10 (* end of lemma zenon_L578_ *) % 0.92/1.10 assert (zenon_L579_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (~(hskp27)) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp12)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H16b zenon_H1bd zenon_H1bc zenon_H42 zenon_H169 zenon_He9 zenon_H12 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H10d zenon_H10f zenon_H110 zenon_H16c zenon_Hd4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 0.92/1.10 apply (zenon_L246_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H82 | zenon_intro zenon_Hd5 ]. % 0.92/1.10 apply (zenon_L543_); trivial. % 0.92/1.10 exact (zenon_Hd4 zenon_Hd5). % 0.92/1.10 (* end of lemma zenon_L579_ *) % 0.92/1.10 assert (zenon_L580_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(hskp17)) -> (c1_1 (a1338)) -> (c2_1 (a1338)) -> (c3_1 (a1338)) -> (c2_1 (a1331)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (~(hskp27)) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp12)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H18d zenon_H7e zenon_H14 zenon_H15 zenon_H16 zenon_H1be zenon_H80 zenon_H184 zenon_H183 zenon_H182 zenon_H16b zenon_H1bd zenon_H1bc zenon_H169 zenon_He9 zenon_H12 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H10d zenon_H10f zenon_H110 zenon_H16c zenon_Hd4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H157 | zenon_intro zenon_H18e ]. % 0.92/1.10 apply (zenon_L174_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H181 | zenon_intro zenon_H42 ]. % 0.92/1.10 apply (zenon_L103_); trivial. % 0.92/1.10 apply (zenon_L579_); trivial. % 0.92/1.10 (* end of lemma zenon_L580_ *) % 0.92/1.10 assert (zenon_L581_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp27)) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(c0_1 (a1359))) -> (~(c1_1 (a1359))) -> (~(c3_1 (a1359))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H11e zenon_H26 zenon_H9b zenon_H98 zenon_H13c zenon_H13e zenon_H18d zenon_H16c zenon_H169 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_Hd4 zenon_H16b zenon_H184 zenon_H183 zenon_H182 zenon_H1bc zenon_H1bd zenon_H1be zenon_H7e zenon_H80 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_H2a zenon_H29 zenon_H28 zenon_H253 zenon_H254 zenon_H255 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_Hd7 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.92/1.10 apply (zenon_L289_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.92/1.10 apply (zenon_L15_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.92/1.10 apply (zenon_L77_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.92/1.10 apply (zenon_L580_); trivial. % 0.92/1.10 apply (zenon_L40_); trivial. % 0.92/1.10 exact (zenon_H98 zenon_H99). % 0.92/1.10 (* end of lemma zenon_L581_ *) % 0.92/1.10 assert (zenon_L582_ : ((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a1359))) -> (~(c1_1 (a1359))) -> (~(c3_1 (a1359))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H178 zenon_H26 zenon_H80 zenon_H7e zenon_H253 zenon_H254 zenon_H255 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_Hd7 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.92/1.10 apply (zenon_L289_); trivial. % 0.92/1.10 apply (zenon_L180_); trivial. % 0.92/1.10 (* end of lemma zenon_L582_ *) % 0.92/1.10 assert (zenon_L583_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((hskp26)\/(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (ndr1_0) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hb9 zenon_H1d7 zenon_Hf3 zenon_H16b zenon_H18d zenon_Hc8 zenon_H1cf zenon_H4e zenon_H79 zenon_H1b5 zenon_Hb4 zenon_H161 zenon_H192 zenon_H209 zenon_H128 zenon_H18b zenon_H261 zenon_H26 zenon_H22 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_H246 zenon_H123 zenon_H24a zenon_H80 zenon_H20c zenon_H21f zenon_H27c zenon_H1d4 zenon_H224 zenon_Hd6 zenon_H27a zenon_Hd0 zenon_H1dc zenon_H1de zenon_H17b zenon_H78 zenon_H7a zenon_H9f zenon_H12 zenon_H28 zenon_H29 zenon_H2a zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H13e zenon_H13c zenon_H98 zenon_H9b zenon_H225 zenon_H77 zenon_H8c zenon_Hd9 zenon_H16c zenon_H148 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_Hba zenon_H129. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.10 apply (zenon_L342_); trivial. % 0.92/1.10 apply (zenon_L576_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.10 apply (zenon_L331_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.10 apply (zenon_L382_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.10 apply (zenon_L343_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.10 apply (zenon_L55_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.10 apply (zenon_L578_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H20a | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.10 apply (zenon_L151_); trivial. % 0.92/1.10 apply (zenon_L581_); trivial. % 0.92/1.10 apply (zenon_L582_); trivial. % 0.92/1.10 apply (zenon_L158_); trivial. % 0.92/1.10 apply (zenon_L257_); trivial. % 0.92/1.10 apply (zenon_L205_); trivial. % 0.92/1.10 apply (zenon_L38_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.10 apply (zenon_L235_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.10 apply (zenon_L343_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.10 apply (zenon_L42_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.10 apply (zenon_L578_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.10 apply (zenon_L237_); trivial. % 0.92/1.10 apply (zenon_L581_); trivial. % 0.92/1.10 apply (zenon_L255_); trivial. % 0.92/1.10 apply (zenon_L257_); trivial. % 0.92/1.10 apply (zenon_L344_); trivial. % 0.92/1.10 apply (zenon_L38_); trivial. % 0.92/1.10 apply (zenon_L345_); trivial. % 0.92/1.10 (* end of lemma zenon_L583_ *) % 0.92/1.10 assert (zenon_L584_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H77 zenon_H7a zenon_H225 zenon_H1f5 zenon_H123 zenon_H24a zenon_H80 zenon_H28 zenon_H29 zenon_H2a zenon_H148 zenon_H13e zenon_H13c zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H98 zenon_H9b zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H1 zenon_H25d zenon_H261 zenon_Hd9 zenon_H128. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.10 apply (zenon_L55_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.10 apply (zenon_L578_); trivial. % 0.92/1.10 apply (zenon_L194_); trivial. % 0.92/1.10 apply (zenon_L162_); trivial. % 0.92/1.10 apply (zenon_L205_); trivial. % 0.92/1.10 apply (zenon_L207_); trivial. % 0.92/1.10 (* end of lemma zenon_L584_ *) % 0.92/1.10 assert (zenon_L585_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (ndr1_0) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H192 zenon_H209 zenon_H17b zenon_H278 zenon_H16c zenon_H26 zenon_H9f zenon_H77 zenon_H8c zenon_Hd9 zenon_H1f zenon_H18b zenon_H128 zenon_H261 zenon_H25d zenon_H1 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H148 zenon_H80 zenon_H24a zenon_H123 zenon_H225 zenon_H7a zenon_Hba zenon_H12 zenon_H28 zenon_H29 zenon_H2a zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H13e zenon_H13c zenon_H98 zenon_H9b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.10 apply (zenon_L331_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.10 apply (zenon_L347_); trivial. % 0.92/1.10 apply (zenon_L584_); trivial. % 0.92/1.10 apply (zenon_L354_); trivial. % 0.92/1.10 (* end of lemma zenon_L585_ *) % 0.92/1.10 assert (zenon_L586_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H13e zenon_H13c zenon_H12 zenon_Hda zenon_H2a7 zenon_H2a9 zenon_H2a8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H52 | zenon_intro zenon_H11d ]. % 0.92/1.10 apply (zenon_L65_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H8e | zenon_intro zenon_H10c ]. % 0.92/1.10 apply (zenon_L77_); trivial. % 0.92/1.10 apply (zenon_L539_); trivial. % 0.92/1.10 (* end of lemma zenon_L586_ *) % 0.92/1.10 assert (zenon_L587_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp28)) -> (~(c0_1 (a1348))) -> (c1_1 (a1348)) -> (c2_1 (a1348)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (ndr1_0) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H148 zenon_Hff zenon_H69 zenon_H6a zenon_H6b zenon_H101 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H13c zenon_H13e zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H12 zenon_Hab zenon_Hac zenon_Had. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.10 apply (zenon_L513_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.10 apply (zenon_L586_); trivial. % 0.92/1.10 apply (zenon_L41_); trivial. % 0.92/1.10 (* end of lemma zenon_L587_ *) % 0.92/1.10 assert (zenon_L588_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (~(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (c2_1 (a1348)) -> (c1_1 (a1348)) -> (~(c0_1 (a1348))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H123 zenon_H80 zenon_H7e zenon_Hec zenon_Hea zenon_Heb zenon_H169 zenon_H16c zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H6b zenon_H6a zenon_H69 zenon_H12 zenon_H11c zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_Hab zenon_Hac zenon_Had zenon_H148. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.10 apply (zenon_L587_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.10 apply (zenon_L516_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.10 apply (zenon_L586_); trivial. % 0.92/1.10 apply (zenon_L41_); trivial. % 0.92/1.10 (* end of lemma zenon_L588_ *) % 0.92/1.10 assert (zenon_L589_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((hskp20)\/(hskp18)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H128 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_Hd9 zenon_H123 zenon_H80 zenon_H7e zenon_Hec zenon_Hea zenon_Heb zenon_H16c zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H11c zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_Hab zenon_Hac zenon_Had zenon_H148 zenon_H1cf zenon_Hc8 zenon_H1be zenon_H1bd zenon_H1bc zenon_H17b zenon_H77. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.10 apply (zenon_L55_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.10 apply (zenon_L588_); trivial. % 0.92/1.10 apply (zenon_L558_); trivial. % 0.92/1.10 apply (zenon_L160_); trivial. % 0.92/1.10 (* end of lemma zenon_L589_ *) % 0.92/1.10 assert (zenon_L590_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H17b zenon_Hc8 zenon_H1cf zenon_H148 zenon_H13c zenon_H13e zenon_H16c zenon_Heb zenon_Hea zenon_Hec zenon_H80 zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H123 zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H182 zenon_H183 zenon_H184 zenon_H1f zenon_H18b zenon_Hd9 zenon_H128 zenon_H9f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.10 apply (zenon_L554_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_L589_); trivial. % 0.92/1.10 apply (zenon_L553_); trivial. % 0.92/1.10 (* end of lemma zenon_L590_ *) % 0.92/1.10 assert (zenon_L591_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H131 zenon_Hf3 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H13c zenon_H13e zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.92/1.10 apply (zenon_L586_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.92/1.10 apply (zenon_L59_); trivial. % 0.92/1.10 apply (zenon_L40_); trivial. % 0.92/1.10 (* end of lemma zenon_L591_ *) % 0.92/1.10 assert (zenon_L592_ : ((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((hskp26)\/(hskp12)) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp9)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hbb zenon_H129 zenon_Hf3 zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H11c zenon_Hd6 zenon_H28 zenon_H29 zenon_H2a zenon_H3b zenon_H3e zenon_H78. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.10 apply (zenon_L53_); trivial. % 0.92/1.10 apply (zenon_L591_); trivial. % 0.92/1.10 (* end of lemma zenon_L592_ *) % 0.92/1.10 assert (zenon_L593_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H18f zenon_H209 zenon_H278 zenon_H26 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H9f zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H11c zenon_H11f zenon_H123 zenon_H77 zenon_H8c zenon_Hd9 zenon_H1f zenon_H18b zenon_H128 zenon_H80 zenon_Hec zenon_Hea zenon_Heb zenon_H16c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H13e zenon_H13c zenon_H148 zenon_H1cf zenon_Hc8 zenon_H17b zenon_Hba zenon_H1d7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.10 apply (zenon_L226_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.10 apply (zenon_L314_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_L589_); trivial. % 0.92/1.10 apply (zenon_L311_); trivial. % 0.92/1.10 apply (zenon_L312_); trivial. % 0.92/1.10 (* end of lemma zenon_L593_ *) % 0.92/1.10 assert (zenon_L594_ : ((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H72 zenon_H123 zenon_H11f zenon_H91 zenon_H90 zenon_H8f zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H11c zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_Hab zenon_Hac zenon_Had zenon_H148. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.10 apply (zenon_L587_); trivial. % 0.92/1.10 apply (zenon_L68_); trivial. % 0.92/1.10 (* end of lemma zenon_L594_ *) % 0.92/1.10 assert (zenon_L595_ : ((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp3)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H25c zenon_H25d zenon_Had zenon_Hac zenon_Hab zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H13e zenon_H13c zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H148 zenon_H1. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.92/1.10 apply (zenon_L193_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.10 apply (zenon_L512_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.10 apply (zenon_L586_); trivial. % 0.92/1.10 apply (zenon_L41_); trivial. % 0.92/1.10 exact (zenon_H1 zenon_H2). % 0.92/1.10 (* end of lemma zenon_L595_ *) % 0.92/1.10 assert (zenon_L596_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (c1_1 (a1339)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp22)) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H261 zenon_H25d zenon_H1 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_Hdb zenon_Hdc zenon_He4 zenon_H24a zenon_H1d zenon_H13e zenon_H13c zenon_H19e zenon_Hab zenon_Hac zenon_Had zenon_H148. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.10 apply (zenon_L304_); trivial. % 0.92/1.10 apply (zenon_L595_); trivial. % 0.92/1.10 (* end of lemma zenon_L596_ *) % 0.92/1.10 assert (zenon_L597_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H124 zenon_H77 zenon_H123 zenon_H101 zenon_H261 zenon_H25d zenon_H1 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H24a zenon_H13e zenon_H13c zenon_H19e zenon_Hab zenon_Hac zenon_Had zenon_H148 zenon_H4e zenon_H11f zenon_H91 zenon_H90 zenon_H8f zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H79 zenon_H7a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.10 apply (zenon_L596_); trivial. % 0.92/1.10 apply (zenon_L297_); trivial. % 0.92/1.10 apply (zenon_L594_); trivial. % 0.92/1.10 (* end of lemma zenon_L597_ *) % 0.92/1.10 assert (zenon_L598_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c1_1 (a1315))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((hskp20)\/(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H9a zenon_H128 zenon_H261 zenon_H25d zenon_H1 zenon_H24a zenon_H19e zenon_H4e zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H79 zenon_H7a zenon_Hd9 zenon_H148 zenon_Had zenon_Hac zenon_Hab zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H11c zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H11f zenon_H123 zenon_H77. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.10 apply (zenon_L55_); trivial. % 0.92/1.10 apply (zenon_L594_); trivial. % 0.92/1.10 apply (zenon_L597_); trivial. % 0.92/1.10 (* end of lemma zenon_L598_ *) % 0.92/1.10 assert (zenon_L599_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H261 zenon_H25d zenon_H1 zenon_H24a zenon_H19e zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H7a zenon_H17b zenon_Hc8 zenon_H1cf zenon_H148 zenon_H13c zenon_H13e zenon_H16c zenon_Heb zenon_Hea zenon_Hec zenon_H80 zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H123 zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H182 zenon_H183 zenon_H184 zenon_H1f zenon_H18b zenon_Hd9 zenon_H128 zenon_H9f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.10 apply (zenon_L554_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_L589_); trivial. % 0.92/1.10 apply (zenon_L598_); trivial. % 0.92/1.10 (* end of lemma zenon_L599_ *) % 0.92/1.10 assert (zenon_L600_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp23)) -> (~(hskp22)) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1334))) -> (c2_1 (a1334)) -> (c3_1 (a1334)) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H123 zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H24a zenon_H248 zenon_H1d zenon_H13e zenon_H13c zenon_H19e zenon_H12 zenon_H101 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H8f zenon_H90 zenon_H91 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.92/1.10 apply (zenon_L216_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.92/1.10 apply (zenon_L527_); trivial. % 0.92/1.10 apply (zenon_L40_); trivial. % 0.92/1.10 apply (zenon_L68_); trivial. % 0.92/1.10 (* end of lemma zenon_L600_ *) % 0.92/1.10 assert (zenon_L601_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c1_1 (a1339)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H148 zenon_H13c zenon_H13e zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_Hf3 zenon_He4 zenon_Hdb zenon_Hdc zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_Hf5 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.10 apply (zenon_L140_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.10 apply (zenon_L586_); trivial. % 0.92/1.10 apply (zenon_L563_); trivial. % 0.92/1.10 (* end of lemma zenon_L601_ *) % 0.92/1.10 assert (zenon_L602_ : ((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1339))) -> (~(c0_1 (a1339))) -> (c1_1 (a1339)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp3)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H25c zenon_H25d zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_Hdc zenon_Hdb zenon_He4 zenon_Hf3 zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H13e zenon_H13c zenon_H148 zenon_H1. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.92/1.10 apply (zenon_L193_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.92/1.10 apply (zenon_L601_); trivial. % 0.92/1.10 exact (zenon_H1 zenon_H2). % 0.92/1.10 (* end of lemma zenon_L602_ *) % 0.92/1.10 assert (zenon_L603_ : ((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c1_1 (a1339)) -> (~(c2_1 (a1339))) -> (~(c0_1 (a1339))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H72 zenon_H123 zenon_H11f zenon_H91 zenon_H90 zenon_H8f zenon_H148 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H11c zenon_He4 zenon_Hdc zenon_Hdb zenon_H101. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H68 | zenon_intro zenon_H102 ]. % 0.92/1.10 apply (zenon_L26_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L601_); trivial. % 0.92/1.10 exact (zenon_Hff zenon_H100). % 0.92/1.10 apply (zenon_L68_); trivial. % 0.92/1.10 (* end of lemma zenon_L603_ *) % 0.92/1.10 assert (zenon_L604_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H124 zenon_H77 zenon_H261 zenon_H25d zenon_H1 zenon_H148 zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H91 zenon_H90 zenon_H8f zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H101 zenon_H19e zenon_H13c zenon_H13e zenon_H24a zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H4e zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H79 zenon_H7a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.10 apply (zenon_L600_); trivial. % 0.92/1.10 apply (zenon_L602_); trivial. % 0.92/1.10 apply (zenon_L297_); trivial. % 0.92/1.10 apply (zenon_L603_); trivial. % 0.92/1.10 (* end of lemma zenon_L604_ *) % 0.92/1.10 assert (zenon_L605_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((hskp20)\/(hskp18)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H9f zenon_H128 zenon_H261 zenon_H25d zenon_H1 zenon_H148 zenon_H19e zenon_H13c zenon_H13e zenon_H24a zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H7a zenon_Hd9 zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H101 zenon_H103 zenon_H104 zenon_H105 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H11c zenon_H11f zenon_H123 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H8c zenon_H77. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_L228_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.10 apply (zenon_L561_); trivial. % 0.92/1.10 apply (zenon_L604_); trivial. % 0.92/1.10 (* end of lemma zenon_L605_ *) % 0.92/1.10 assert (zenon_L606_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp23)) -> (~(hskp22)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (c2_1 (a1348)) -> (c1_1 (a1348)) -> (~(c0_1 (a1348))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H123 zenon_H24a zenon_H248 zenon_H1d zenon_H7e zenon_H80 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H6b zenon_H6a zenon_H69 zenon_H12 zenon_H11c zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_Hab zenon_Hac zenon_Had zenon_H148. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.10 apply (zenon_L587_); trivial. % 0.92/1.10 apply (zenon_L201_); trivial. % 0.92/1.10 (* end of lemma zenon_L606_ *) % 0.92/1.10 assert (zenon_L607_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_Hb4 zenon_H78 zenon_H17b zenon_H17e zenon_H17c zenon_H27a zenon_Hd4 zenon_Hd6 zenon_H80 zenon_H1cf zenon_Hc8 zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H123 zenon_H11f zenon_H11c zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H105 zenon_H104 zenon_H103 zenon_H101 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_Hd9 zenon_H7a zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H24a zenon_H13e zenon_H13c zenon_H19e zenon_H148 zenon_H1 zenon_H25d zenon_H261 zenon_H128 zenon_H9f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.10 apply (zenon_L605_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.10 apply (zenon_L55_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.10 apply (zenon_L606_); trivial. % 0.92/1.10 apply (zenon_L595_); trivial. % 0.92/1.10 apply (zenon_L270_); trivial. % 0.92/1.10 apply (zenon_L555_); trivial. % 0.92/1.10 apply (zenon_L565_); trivial. % 0.92/1.10 (* end of lemma zenon_L607_ *) % 0.92/1.10 assert (zenon_L608_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1359))) -> (~(c1_1 (a1359))) -> (~(c3_1 (a1359))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H11e zenon_H26 zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H80 zenon_H7e zenon_H1be zenon_H1bd zenon_H1bc zenon_H182 zenon_H183 zenon_H184 zenon_H16b zenon_Hd4 zenon_H169 zenon_H16c zenon_H18d zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H11c zenon_H253 zenon_H254 zenon_H255 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_Hd7 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.92/1.10 apply (zenon_L289_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.92/1.10 apply (zenon_L586_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.92/1.10 apply (zenon_L580_); trivial. % 0.92/1.10 apply (zenon_L40_); trivial. % 0.92/1.10 (* end of lemma zenon_L608_ *) % 0.92/1.10 assert (zenon_L609_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp26)\/(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> (~(hskp18)) -> ((hskp20)\/(hskp18)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H77 zenon_H7a zenon_H78 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H27a zenon_Hd6 zenon_H123 zenon_H24a zenon_H7e zenon_H80 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H11c zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_Hab zenon_Hac zenon_Had zenon_H148 zenon_H17b zenon_H20c zenon_H1f5 zenon_H246 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H278 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H18d zenon_H16c zenon_Hd4 zenon_H16b zenon_H184 zenon_H183 zenon_H182 zenon_H1bc zenon_H1bd zenon_H1be zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_H26 zenon_H21f zenon_Hc8 zenon_H1cf zenon_H1d4 zenon_H224 zenon_H261 zenon_Hd7 zenon_Hd9. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.10 apply (zenon_L55_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.10 apply (zenon_L606_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H20a | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.10 apply (zenon_L151_); trivial. % 0.92/1.10 apply (zenon_L608_); trivial. % 0.92/1.10 apply (zenon_L582_); trivial. % 0.92/1.10 apply (zenon_L158_); trivial. % 0.92/1.10 apply (zenon_L257_); trivial. % 0.92/1.10 (* end of lemma zenon_L609_ *) % 0.92/1.10 assert (zenon_L610_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H9a zenon_H77 zenon_H123 zenon_H11f zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H11c zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_H148 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hab zenon_Hac zenon_Had zenon_Hb4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.10 apply (zenon_L42_); trivial. % 0.92/1.10 apply (zenon_L594_); trivial. % 0.92/1.10 (* end of lemma zenon_L610_ *) % 0.92/1.10 assert (zenon_L611_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp26)\/(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1330)) -> (~(c2_1 (a1330))) -> (~(c1_1 (a1330))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> (~(hskp18)) -> ((hskp20)\/(hskp18)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H77 zenon_H7a zenon_H78 zenon_H27a zenon_Hd6 zenon_H123 zenon_H24a zenon_H7e zenon_H80 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H11c zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_Hab zenon_Hac zenon_Had zenon_H148 zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H182 zenon_H183 zenon_H184 zenon_H16b zenon_Hd4 zenon_H16c zenon_H18d zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H278 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H1be zenon_H1bd zenon_H1bc zenon_H161 zenon_H26 zenon_H17b zenon_H261 zenon_Hd7 zenon_Hd9. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.10 apply (zenon_L55_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.10 apply (zenon_L606_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.10 apply (zenon_L237_); trivial. % 0.92/1.10 apply (zenon_L608_); trivial. % 0.92/1.10 apply (zenon_L302_); trivial. % 0.92/1.10 apply (zenon_L340_); trivial. % 0.92/1.10 (* end of lemma zenon_L611_ *) % 0.92/1.10 assert (zenon_L612_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H9a zenon_H128 zenon_H261 zenon_H25d zenon_H1 zenon_H24a zenon_H13e zenon_H13c zenon_H19e zenon_Hab zenon_Hac zenon_Had zenon_H148 zenon_H4e zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H79 zenon_H7a zenon_Hd9 zenon_H26 zenon_H2ba zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H278 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H77. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.10 apply (zenon_L534_); trivial. % 0.92/1.10 apply (zenon_L597_); trivial. % 0.92/1.10 (* end of lemma zenon_L612_ *) % 0.92/1.10 assert (zenon_L613_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((hskp20)\/(hskp18)) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H209 zenon_H13e zenon_H13c zenon_H19e zenon_H278 zenon_Hd9 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H148 zenon_H128 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H9f zenon_H11c zenon_H261 zenon_H25d zenon_H1 zenon_H17c zenon_H17e zenon_H24a zenon_H101 zenon_H11f zenon_H7a zenon_H79 zenon_H78 zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H1cf zenon_Hc8 zenon_H214 zenon_H123 zenon_H16c zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_Hf zenon_H80 zenon_H161 zenon_H26 zenon_H17b zenon_H4e zenon_H8c zenon_H77 zenon_H1fb zenon_Hba zenon_H1d7. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.10 apply (zenon_L300_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.10 apply (zenon_L235_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.10 apply (zenon_L299_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_L571_); trivial. % 0.92/1.10 apply (zenon_L328_); trivial. % 0.92/1.10 (* end of lemma zenon_L613_ *) % 0.92/1.10 assert (zenon_L614_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H9a zenon_H77 zenon_H261 zenon_H25d zenon_H1 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H101 zenon_H19e zenon_H13c zenon_H13e zenon_H24a zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H4e zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H79 zenon_H7a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.10 apply (zenon_L600_); trivial. % 0.92/1.10 apply (zenon_L194_); trivial. % 0.92/1.10 apply (zenon_L297_); trivial. % 0.92/1.10 apply (zenon_L69_); trivial. % 0.92/1.10 (* end of lemma zenon_L614_ *) % 0.92/1.10 assert (zenon_L615_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H9f zenon_H261 zenon_H25d zenon_H1 zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H101 zenon_H19e zenon_H13c zenon_H13e zenon_H24a zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H7a zenon_H79 zenon_H78 zenon_H246 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H1cf zenon_Hc8 zenon_H214 zenon_H123 zenon_H16c zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_Hf zenon_H80 zenon_H161 zenon_H26 zenon_H17b zenon_H4e zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H8a zenon_H8c zenon_H77. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_L188_); trivial. % 0.92/1.10 apply (zenon_L614_); trivial. % 0.92/1.10 (* end of lemma zenon_L615_ *) % 0.92/1.10 assert (zenon_L616_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a1320))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H52 zenon_H12 zenon_Hbf zenon_H1e2 zenon_Hc0 zenon_Hc1. % 0.92/1.10 generalize (zenon_H52 (a1320)). zenon_intro zenon_H2c1. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H2c1); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c2 ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H2c3 ]. % 0.92/1.10 exact (zenon_Hbf zenon_Hc5). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2c4 | zenon_intro zenon_Hc6 ]. % 0.92/1.10 generalize (zenon_H1e2 (a1320)). zenon_intro zenon_H2c5. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H2c5); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c6 ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H2c7 ]. % 0.92/1.10 exact (zenon_Hbf zenon_Hc5). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H2c8 ]. % 0.92/1.10 exact (zenon_Hc0 zenon_Hc7). % 0.92/1.10 exact (zenon_H2c8 zenon_H2c4). % 0.92/1.10 exact (zenon_Hc6 zenon_Hc1). % 0.92/1.10 (* end of lemma zenon_L616_ *) % 0.92/1.10 assert (zenon_L617_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp14)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H9a zenon_H7a zenon_H225 zenon_H98 zenon_H123 zenon_H24a zenon_H17c zenon_H17e zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H1e7 zenon_H5 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H11c zenon_H11f zenon_H1f5 zenon_H20c zenon_H246 zenon_H224 zenon_H261. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.11 apply (zenon_L377_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H20a | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.11 apply (zenon_L151_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e8 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.92/1.11 apply (zenon_L616_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.92/1.11 apply (zenon_L36_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H52 | zenon_intro zenon_H11d ]. % 0.92/1.11 apply (zenon_L616_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H8e | zenon_intro zenon_H10c ]. % 0.92/1.11 apply (zenon_L36_); trivial. % 0.92/1.11 apply (zenon_L66_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H6 ]. % 0.92/1.11 apply (zenon_L509_); trivial. % 0.92/1.11 exact (zenon_H5 zenon_H6). % 0.92/1.11 apply (zenon_L214_); trivial. % 0.92/1.11 apply (zenon_L162_); trivial. % 0.92/1.11 (* end of lemma zenon_L617_ *) % 0.92/1.11 assert (zenon_L618_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> (~(hskp14)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H1fb zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H261 zenon_H224 zenon_H246 zenon_H20c zenon_H1f5 zenon_H11f zenon_H11c zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H5 zenon_H1e7 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H17e zenon_H17c zenon_H24a zenon_H123 zenon_H98 zenon_H225 zenon_H7a zenon_H9f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.11 apply (zenon_L228_); trivial. % 0.92/1.11 apply (zenon_L617_); trivial. % 0.92/1.11 apply (zenon_L145_); trivial. % 0.92/1.11 (* end of lemma zenon_L618_ *) % 0.92/1.11 assert (zenon_L619_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H209 zenon_H1e0 zenon_H9f zenon_H17c zenon_H17e zenon_H1e7 zenon_H5 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H11c zenon_H11f zenon_H20c zenon_H224 zenon_H261 zenon_H246 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H12 zenon_H80 zenon_H24a zenon_H123 zenon_H98 zenon_H225 zenon_H7a zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H8c zenon_H77 zenon_H1fb zenon_Hba zenon_H1d7. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.11 apply (zenon_L366_); trivial. % 0.92/1.11 apply (zenon_L617_); trivial. % 0.92/1.11 apply (zenon_L618_); trivial. % 0.92/1.11 apply (zenon_L148_); trivial. % 0.92/1.11 (* end of lemma zenon_L619_ *) % 0.92/1.11 assert (zenon_L620_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(hskp27)) -> (ndr1_0) -> (~(c2_1 (a1309))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20)))))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp12)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H16b zenon_H15a zenon_H159 zenon_H158 zenon_H169 zenon_H12 zenon_H2a7 zenon_H136 zenon_H2a8 zenon_H2a9 zenon_H10d zenon_H10f zenon_H110 zenon_H16c zenon_Hd4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 0.92/1.11 apply (zenon_L87_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H82 | zenon_intro zenon_Hd5 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H162 | zenon_intro zenon_H16e ]. % 0.92/1.11 apply (zenon_L90_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H16a ]. % 0.92/1.11 apply (zenon_L512_); trivial. % 0.92/1.11 exact (zenon_H169 zenon_H16a). % 0.92/1.11 exact (zenon_Hd4 zenon_Hd5). % 0.92/1.11 (* end of lemma zenon_L620_ *) % 0.92/1.11 assert (zenon_L621_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H18f zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16b zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H1f zenon_H18b zenon_H123. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.11 apply (zenon_L88_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H136 | zenon_intro zenon_H18c ]. % 0.92/1.11 apply (zenon_L620_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H181 | zenon_intro zenon_H20 ]. % 0.92/1.11 apply (zenon_L103_); trivial. % 0.92/1.11 exact (zenon_H1f zenon_H20). % 0.92/1.11 apply (zenon_L94_); trivial. % 0.92/1.11 (* end of lemma zenon_L621_ *) % 0.92/1.11 assert (zenon_L622_ : ((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_H209 zenon_H225 zenon_H98 zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H24a zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H261 zenon_H9f zenon_H11c zenon_H11f zenon_H8c zenon_Hb4 zenon_H5e zenon_H73 zenon_H77 zenon_Hba zenon_H1d7 zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16c zenon_H16b zenon_H123 zenon_H17e zenon_H18b zenon_H22 zenon_H18d zenon_H7a zenon_H192 zenon_H129. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.11 apply (zenon_L107_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.11 apply (zenon_L100_); trivial. % 0.92/1.11 apply (zenon_L385_); trivial. % 0.92/1.11 (* end of lemma zenon_L622_ *) % 0.92/1.11 assert (zenon_L623_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb6 zenon_H77 zenon_H17b zenon_H17e zenon_H17c zenon_H27a zenon_H5e zenon_H73 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H28b zenon_H3b zenon_H15a zenon_H159 zenon_H158 zenon_Heb zenon_Hea zenon_Hec zenon_H1f zenon_H22 zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H7a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.11 apply (zenon_L417_); trivial. % 0.92/1.11 apply (zenon_L398_); trivial. % 0.92/1.11 apply (zenon_L402_); trivial. % 0.92/1.11 (* end of lemma zenon_L623_ *) % 0.92/1.11 assert (zenon_L624_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H17b zenon_H17e zenon_H17c zenon_H27a zenon_H5e zenon_H73 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H28b zenon_H3b zenon_Heb zenon_Hea zenon_Hec zenon_H1f zenon_H22 zenon_H7a zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_L388_); trivial. % 0.92/1.11 apply (zenon_L623_); trivial. % 0.92/1.11 (* end of lemma zenon_L624_ *) % 0.92/1.11 assert (zenon_L625_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (~(hskp6)) -> (~(hskp9)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H18f zenon_H1d7 zenon_Hba zenon_H77 zenon_H73 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hb4 zenon_H18d zenon_H8c zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H11c zenon_H123 zenon_H9f zenon_H60 zenon_H5e zenon_H3b zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H1b5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.11 apply (zenon_L122_); trivial. % 0.92/1.11 apply (zenon_L383_); trivial. % 0.92/1.11 (* end of lemma zenon_L625_ *) % 0.92/1.11 assert (zenon_L626_ : ((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (~(hskp6)) -> (~(hskp9)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_H1d7 zenon_Hba zenon_H77 zenon_H73 zenon_Hb4 zenon_H8c zenon_H11f zenon_H11c zenon_H9f zenon_H60 zenon_H5e zenon_H3b zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H1b5 zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16c zenon_H16b zenon_H123 zenon_H17e zenon_H18b zenon_H22 zenon_H18d zenon_H7a zenon_H192 zenon_H129. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.11 apply (zenon_L107_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.11 apply (zenon_L100_); trivial. % 0.92/1.11 apply (zenon_L625_); trivial. % 0.92/1.11 (* end of lemma zenon_L626_ *) % 0.92/1.11 assert (zenon_L627_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb6 zenon_H17b zenon_H17e zenon_H17c zenon_H63 zenon_H5e zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H1de zenon_H1dc zenon_Hd0 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H27a zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H5 zenon_H1e7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e8 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H27 | zenon_intro zenon_H67 ]. % 0.92/1.11 apply (zenon_L391_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H52 | zenon_intro zenon_H5f ]. % 0.92/1.11 apply (zenon_L616_); trivial. % 0.92/1.11 exact (zenon_H5e zenon_H5f). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H6 ]. % 0.92/1.11 apply (zenon_L509_); trivial. % 0.92/1.11 exact (zenon_H5 zenon_H6). % 0.92/1.11 apply (zenon_L99_); trivial. % 0.92/1.11 (* end of lemma zenon_L627_ *) % 0.92/1.11 assert (zenon_L628_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H17b zenon_H17e zenon_H17c zenon_H63 zenon_H5e zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H27a zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H5 zenon_H1e7 zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_L388_); trivial. % 0.92/1.11 apply (zenon_L627_); trivial. % 0.92/1.11 (* end of lemma zenon_L628_ *) % 0.92/1.11 assert (zenon_L629_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H209 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H9f zenon_H123 zenon_H11f zenon_H11c zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H8c zenon_H77 zenon_H1e7 zenon_H5 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H27a zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H5e zenon_H63 zenon_H17c zenon_H17e zenon_H17b zenon_Hba zenon_H1d7. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.11 apply (zenon_L226_); trivial. % 0.92/1.11 apply (zenon_L628_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.11 apply (zenon_L235_); trivial. % 0.92/1.11 apply (zenon_L628_); trivial. % 0.92/1.11 (* end of lemma zenon_L629_ *) % 0.92/1.11 assert (zenon_L630_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp23)) -> (~(hskp22)) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H12 zenon_H16b zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H24a zenon_H248 zenon_H1d zenon_H13e zenon_H13c zenon_H19e zenon_Hab zenon_Hac zenon_Had zenon_H148 zenon_H123. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.11 apply (zenon_L88_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L620_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.11 apply (zenon_L216_); trivial. % 0.92/1.11 apply (zenon_L41_); trivial. % 0.92/1.11 apply (zenon_L94_); trivial. % 0.92/1.11 (* end of lemma zenon_L630_ *) % 0.92/1.11 assert (zenon_L631_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb6 zenon_H7a zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16b zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H24a zenon_H13e zenon_H13c zenon_H19e zenon_H148 zenon_H123 zenon_H9b zenon_H98 zenon_H182 zenon_H183 zenon_H184 zenon_H18d zenon_H1 zenon_H25d zenon_H261. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.11 apply (zenon_L630_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.92/1.11 apply (zenon_L193_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.92/1.11 apply (zenon_L111_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L512_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.11 apply (zenon_L77_); trivial. % 0.92/1.11 apply (zenon_L41_); trivial. % 0.92/1.11 exact (zenon_H98 zenon_H99). % 0.92/1.11 exact (zenon_H1 zenon_H2). % 0.92/1.11 apply (zenon_L105_); trivial. % 0.92/1.11 (* end of lemma zenon_L631_ *) % 0.92/1.11 assert (zenon_L632_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1315))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H129 zenon_H22 zenon_H9b zenon_H98 zenon_H13c zenon_H13e zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9 zenon_H2a zenon_H29 zenon_H28 zenon_H12 zenon_H9f zenon_H77 zenon_H8c zenon_Hd9 zenon_H1f zenon_H18b zenon_H128 zenon_H261 zenon_H25d zenon_H1 zenon_H18d zenon_H123 zenon_H148 zenon_H19e zenon_H24a zenon_H16c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H16b zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H17b zenon_H7a zenon_Hba zenon_H192. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.11 apply (zenon_L331_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_L347_); trivial. % 0.92/1.11 apply (zenon_L631_); trivial. % 0.92/1.11 apply (zenon_L439_); trivial. % 0.92/1.11 (* end of lemma zenon_L632_ *) % 0.92/1.11 assert (zenon_L633_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c1_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (ndr1_0) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb9 zenon_Hf3 zenon_H78 zenon_H3e zenon_H3b zenon_Hf zenon_H80 zenon_H26 zenon_H192 zenon_Hba zenon_H7a zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16b zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H24a zenon_H19e zenon_H148 zenon_H123 zenon_H18d zenon_H1 zenon_H25d zenon_H261 zenon_H128 zenon_H18b zenon_Hd9 zenon_H8c zenon_H77 zenon_H9f zenon_H12 zenon_H28 zenon_H29 zenon_H2a zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H13e zenon_H13c zenon_H98 zenon_H9b zenon_H22 zenon_H129. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.11 apply (zenon_L632_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.11 apply (zenon_L331_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_L39_); trivial. % 0.92/1.11 apply (zenon_L631_); trivial. % 0.92/1.11 apply (zenon_L345_); trivial. % 0.92/1.11 (* end of lemma zenon_L633_ *) % 0.92/1.11 assert (zenon_L634_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c1_1 (a1339)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))) -> (~(hskp12)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1328)) -> (c2_1 (a1328)) -> (c0_1 (a1328)) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp27)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf3 zenon_He4 zenon_Hdb zenon_Hdc zenon_Haa zenon_Hd4 zenon_H16c zenon_H110 zenon_H10f zenon_H10d zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H169 zenon_H158 zenon_H159 zenon_H15a zenon_H16b zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.92/1.11 apply (zenon_L58_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.92/1.11 apply (zenon_L544_); trivial. % 0.92/1.11 apply (zenon_L40_); trivial. % 0.92/1.11 (* end of lemma zenon_L634_ *) % 0.92/1.11 assert (zenon_L635_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H124 zenon_H17b zenon_H17e zenon_H17c zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H28 zenon_H29 zenon_H2a zenon_H148 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_H13e zenon_H13c zenon_H16c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Hd4 zenon_H16b zenon_H98 zenon_H9b zenon_H123. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.11 apply (zenon_L88_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 0.92/1.11 apply (zenon_L15_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L620_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.11 apply (zenon_L77_); trivial. % 0.92/1.11 apply (zenon_L634_); trivial. % 0.92/1.11 exact (zenon_H98 zenon_H99). % 0.92/1.11 apply (zenon_L99_); trivial. % 0.92/1.11 (* end of lemma zenon_L635_ *) % 0.92/1.11 assert (zenon_L636_ : ((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1328)) -> (c2_1 (a1328)) -> (c0_1 (a1328)) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp27)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H21 zenon_H2ba zenon_H16c zenon_H110 zenon_H10f zenon_H10d zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H169 zenon_H158 zenon_H159 zenon_H15a zenon_H16b zenon_Hd4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H136 | zenon_intro zenon_H2bb ]. % 0.92/1.11 apply (zenon_L620_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H13 | zenon_intro zenon_Hd5 ]. % 0.92/1.11 apply (zenon_L10_); trivial. % 0.92/1.11 exact (zenon_Hd4 zenon_Hd5). % 0.92/1.11 (* end of lemma zenon_L636_ *) % 0.92/1.11 assert (zenon_L637_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1330)) -> (~(c2_1 (a1330))) -> (~(c1_1 (a1330))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H17b zenon_H80 zenon_H7e zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H12 zenon_H278 zenon_Hd7 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H16b zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H2ba zenon_H26 zenon_H123. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.11 apply (zenon_L88_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.92/1.11 apply (zenon_L236_); trivial. % 0.92/1.11 apply (zenon_L636_); trivial. % 0.92/1.11 apply (zenon_L302_); trivial. % 0.92/1.11 (* end of lemma zenon_L637_ *) % 0.92/1.11 assert (zenon_L638_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H209 zenon_H80 zenon_H278 zenon_H2ba zenon_H26 zenon_H9f zenon_H77 zenon_H8c zenon_Hd9 zenon_H123 zenon_H9b zenon_H98 zenon_H16b zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H13c zenon_H13e zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H148 zenon_H2a zenon_H29 zenon_H28 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H17c zenon_H17e zenon_H17b zenon_H128 zenon_H1fb zenon_Hba. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.11 apply (zenon_L266_); trivial. % 0.92/1.11 apply (zenon_L635_); trivial. % 0.92/1.11 apply (zenon_L38_); trivial. % 0.92/1.11 apply (zenon_L145_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.11 apply (zenon_L637_); trivial. % 0.92/1.11 apply (zenon_L635_); trivial. % 0.92/1.11 apply (zenon_L38_); trivial. % 0.92/1.11 (* end of lemma zenon_L638_ *) % 0.92/1.11 assert (zenon_L639_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1330)) -> (~(c2_1 (a1330))) -> (~(c1_1 (a1330))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H17b zenon_H80 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H278 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H16b zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H2ba zenon_H26 zenon_H123 zenon_H28 zenon_H29 zenon_H2a zenon_H148 zenon_H13e zenon_H13c zenon_H98 zenon_H9b zenon_H128. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.11 apply (zenon_L637_); trivial. % 0.92/1.11 apply (zenon_L344_); trivial. % 0.92/1.11 apply (zenon_L38_); trivial. % 0.92/1.11 (* end of lemma zenon_L639_ *) % 0.92/1.11 assert (zenon_L640_ : ((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hca zenon_Hb9 zenon_H209 zenon_H80 zenon_H278 zenon_H2ba zenon_H26 zenon_H9f zenon_H77 zenon_H8c zenon_Hd9 zenon_Hf3 zenon_H148 zenon_H17e zenon_H128 zenon_H1fb zenon_Hba zenon_H1d7 zenon_H101 zenon_Hb4 zenon_H11f zenon_H11c zenon_H261 zenon_H246 zenon_H24a zenon_H1b5 zenon_H225 zenon_H192 zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16b zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H18b zenon_H123 zenon_H28 zenon_H29 zenon_H2a zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H13e zenon_H13c zenon_H98 zenon_H9b zenon_H22 zenon_H18d zenon_H7a zenon_H129. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.11 apply (zenon_L331_); trivial. % 0.92/1.11 apply (zenon_L621_); trivial. % 0.92/1.11 apply (zenon_L439_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.11 apply (zenon_L638_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.11 apply (zenon_L382_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_L374_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.11 apply (zenon_L42_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.11 apply (zenon_L578_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.11 apply (zenon_L515_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.92/1.11 apply (zenon_L289_); trivial. % 0.92/1.11 apply (zenon_L636_); trivial. % 0.92/1.11 apply (zenon_L94_); trivial. % 0.92/1.11 apply (zenon_L105_); trivial. % 0.92/1.11 apply (zenon_L423_); trivial. % 0.92/1.11 apply (zenon_L207_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.11 apply (zenon_L235_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_L374_); trivial. % 0.92/1.11 apply (zenon_L639_); trivial. % 0.92/1.11 apply (zenon_L345_); trivial. % 0.92/1.11 (* end of lemma zenon_L640_ *) % 0.92/1.11 assert (zenon_L641_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb6 zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16b zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H11c zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_H148 zenon_H123. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.11 apply (zenon_L88_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L620_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.11 apply (zenon_L586_); trivial. % 0.92/1.11 apply (zenon_L41_); trivial. % 0.92/1.11 apply (zenon_L94_); trivial. % 0.92/1.11 (* end of lemma zenon_L641_ *) % 0.92/1.11 assert (zenon_L642_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H17b zenon_H16b zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H13e zenon_H13c zenon_H148 zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_L388_); trivial. % 0.92/1.11 apply (zenon_L641_); trivial. % 0.92/1.11 (* end of lemma zenon_L642_ *) % 0.92/1.11 assert (zenon_L643_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c1_1 (a1315))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H128 zenon_H17e zenon_H1f9 zenon_H17c zenon_H261 zenon_H25d zenon_H1 zenon_H24a zenon_H19e zenon_H4e zenon_H79 zenon_H7a zenon_Hd9 zenon_H123 zenon_H80 zenon_H7e zenon_Hec zenon_Hea zenon_Heb zenon_H16c zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H11c zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_Hab zenon_Hac zenon_Had zenon_H148 zenon_H278 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_Hd0 zenon_H1dc zenon_H1de zenon_H26 zenon_H17b zenon_H77. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.11 apply (zenon_L55_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.11 apply (zenon_L588_); trivial. % 0.92/1.11 apply (zenon_L255_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.11 apply (zenon_L596_); trivial. % 0.92/1.11 apply (zenon_L398_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.11 apply (zenon_L587_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L516_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.11 apply (zenon_L586_); trivial. % 0.92/1.11 apply (zenon_L143_); trivial. % 0.92/1.11 apply (zenon_L99_); trivial. % 0.92/1.11 (* end of lemma zenon_L643_ *) % 0.92/1.11 assert (zenon_L644_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp20)\/(hskp18)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> (~(c1_1 (a1315))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> (~(hskp13)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H17b zenon_H26 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H278 zenon_H148 zenon_H13c zenon_H13e zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H16c zenon_Heb zenon_Hea zenon_Hec zenon_H80 zenon_Hd9 zenon_H7a zenon_H19e zenon_H24a zenon_H1 zenon_H25d zenon_H261 zenon_H17c zenon_H1f9 zenon_H17e zenon_H128 zenon_H77 zenon_H8c zenon_H4e zenon_Hd0 zenon_H1dc zenon_H1de zenon_H79 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_L388_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.11 apply (zenon_L643_); trivial. % 0.92/1.11 apply (zenon_L387_); trivial. % 0.92/1.11 (* end of lemma zenon_L644_ *) % 0.92/1.11 assert (zenon_L645_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hba zenon_H128 zenon_H17b zenon_H17e zenon_H17c zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H11c zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H16c zenon_Hd4 zenon_H16b zenon_H148 zenon_H123 zenon_Hd9 zenon_H8c zenon_H77 zenon_H11f zenon_H9f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.11 apply (zenon_L266_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.92/1.11 apply (zenon_L88_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L140_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.11 apply (zenon_L586_); trivial. % 0.92/1.11 apply (zenon_L634_); trivial. % 0.92/1.11 apply (zenon_L99_); trivial. % 0.92/1.11 apply (zenon_L387_); trivial. % 0.92/1.11 apply (zenon_L641_); trivial. % 0.92/1.11 (* end of lemma zenon_L645_ *) % 0.92/1.11 assert (zenon_L646_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H17b zenon_H16b zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_H148 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H11c zenon_H123 zenon_H9f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_L374_); trivial. % 0.92/1.11 apply (zenon_L641_); trivial. % 0.92/1.11 (* end of lemma zenon_L646_ *) % 0.92/1.11 assert (zenon_L647_ : ((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hbb zenon_H129 zenon_Hba zenon_H128 zenon_H17b zenon_H17e zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H11c zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_Hf3 zenon_H16c zenon_H16b zenon_H148 zenon_H123 zenon_Hd9 zenon_H8c zenon_H77 zenon_H11f zenon_H9f zenon_H1d7 zenon_H18d zenon_H276 zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H209 zenon_H192. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.92/1.11 apply (zenon_L645_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.11 apply (zenon_L226_); trivial. % 0.92/1.11 apply (zenon_L646_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.11 apply (zenon_L235_); trivial. % 0.92/1.11 apply (zenon_L646_); trivial. % 0.92/1.11 apply (zenon_L591_); trivial. % 0.92/1.11 (* end of lemma zenon_L647_ *) % 0.92/1.11 assert (zenon_L648_ : ((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_Hf3 zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H11c zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16c zenon_H16b zenon_H123 zenon_H17e zenon_H18b zenon_H22 zenon_H18d zenon_H7a zenon_H192 zenon_H129. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.92/1.11 apply (zenon_L107_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.92/1.11 apply (zenon_L95_); trivial. % 0.92/1.11 apply (zenon_L591_); trivial. % 0.92/1.11 (* end of lemma zenon_L648_ *) % 0.92/1.11 assert (zenon_L649_ : ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))) -> (~(hskp9)) -> (~(hskp6)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H60 zenon_H1a1 zenon_H1a0 zenon_H12 zenon_H31 zenon_H3b zenon_H5e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H50 | zenon_intro zenon_H61 ]. % 0.92/1.11 generalize (zenon_H31 (a1312)). zenon_intro zenon_H289. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H289); [ zenon_intro zenon_H11 | zenon_intro zenon_H28a ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 0.92/1.11 apply (zenon_L118_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a8 ]. % 0.92/1.11 exact (zenon_H1a0 zenon_H1a6). % 0.92/1.11 exact (zenon_H1a8 zenon_H1a1). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3c | zenon_intro zenon_H5f ]. % 0.92/1.11 exact (zenon_H3b zenon_H3c). % 0.92/1.11 exact (zenon_H5e zenon_H5f). % 0.92/1.11 (* end of lemma zenon_L649_ *) % 0.92/1.11 assert (zenon_L650_ : ((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (~(hskp6)) -> (~(hskp9)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H12e zenon_H1d7 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_Hc8 zenon_H1cf zenon_H60 zenon_H5e zenon_H3b zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H1b5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.92/1.11 apply (zenon_L122_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H20e | zenon_intro zenon_H215 ]. % 0.92/1.11 apply (zenon_L152_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H10e | zenon_intro zenon_H31 ]. % 0.92/1.11 apply (zenon_L447_); trivial. % 0.92/1.11 apply (zenon_L649_); trivial. % 0.92/1.11 (* end of lemma zenon_L650_ *) % 0.92/1.11 assert (zenon_L651_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hba zenon_H7a zenon_H225 zenon_H1f5 zenon_H123 zenon_H24a zenon_H80 zenon_H148 zenon_H13e zenon_H13c zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H1b5 zenon_H1b3 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H261 zenon_H128 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_Hd9 zenon_H8c zenon_H77 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_L347_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.92/1.11 apply (zenon_L55_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.92/1.11 apply (zenon_L578_); trivial. % 0.92/1.11 apply (zenon_L349_); trivial. % 0.92/1.11 apply (zenon_L162_); trivial. % 0.92/1.11 apply (zenon_L160_); trivial. % 0.92/1.11 apply (zenon_L38_); trivial. % 0.92/1.11 (* end of lemma zenon_L651_ *) % 0.92/1.11 assert (zenon_L652_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp28)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c0_1 (a1348))) -> (c1_1 (a1348)) -> (c2_1 (a1348)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (ndr1_0) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H148 zenon_Hff zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H69 zenon_H6a zenon_H6b zenon_H101 zenon_H294 zenon_H293 zenon_H292 zenon_H13c zenon_H13e zenon_H103 zenon_H104 zenon_H105 zenon_H11f zenon_H12 zenon_Hab zenon_Hac zenon_Had. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L513_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.11 apply (zenon_L460_); trivial. % 0.92/1.11 apply (zenon_L41_); trivial. % 0.92/1.11 (* end of lemma zenon_L652_ *) % 0.92/1.11 assert (zenon_L653_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp27)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (~(hskp17)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H11e zenon_H148 zenon_H169 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H80 zenon_Hec zenon_Hea zenon_Heb zenon_H7e zenon_H16c zenon_H294 zenon_H293 zenon_H292 zenon_H13c zenon_H13e zenon_H103 zenon_H104 zenon_H105 zenon_H11f zenon_Hab zenon_Hac zenon_Had. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L516_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.92/1.11 apply (zenon_L460_); trivial. % 0.92/1.11 apply (zenon_L41_); trivial. % 0.92/1.11 (* end of lemma zenon_L653_ *) % 0.92/1.11 assert (zenon_L654_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H77 zenon_H17b zenon_H148 zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H16c zenon_Heb zenon_Hea zenon_Hec zenon_H80 zenon_H123 zenon_Hd9 zenon_H128. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.97/1.12 apply (zenon_L55_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.12 apply (zenon_L652_); trivial. % 0.97/1.12 apply (zenon_L653_); trivial. % 0.97/1.12 apply (zenon_L473_); trivial. % 0.97/1.12 apply (zenon_L461_); trivial. % 0.97/1.12 apply (zenon_L448_); trivial. % 0.97/1.12 (* end of lemma zenon_L654_ *) % 0.97/1.12 assert (zenon_L655_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H17b zenon_H26 zenon_H161 zenon_H1bc zenon_H1bd zenon_H1be zenon_H80 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H278 zenon_H16c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Heb zenon_Hea zenon_Hec zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_H148 zenon_H123 zenon_H128. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.12 apply (zenon_L237_); trivial. % 0.97/1.12 apply (zenon_L653_); trivial. % 0.97/1.12 apply (zenon_L473_); trivial. % 0.97/1.12 apply (zenon_L461_); trivial. % 0.97/1.12 apply (zenon_L448_); trivial. % 0.97/1.12 (* end of lemma zenon_L655_ *) % 0.97/1.12 assert (zenon_L656_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H131 zenon_H209 zenon_H26 zenon_H161 zenon_H278 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H9f zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H79 zenon_H1de zenon_H1dc zenon_Hd0 zenon_H4e zenon_H8c zenon_H77 zenon_H128 zenon_Hd9 zenon_H123 zenon_H80 zenon_H16c zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H13e zenon_H13c zenon_H148 zenon_H17b zenon_Hba zenon_H1d7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L459_); trivial. % 0.97/1.12 apply (zenon_L654_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L235_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L459_); trivial. % 0.97/1.12 apply (zenon_L655_); trivial. % 0.97/1.12 (* end of lemma zenon_L656_ *) % 0.97/1.12 assert (zenon_L657_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H77 zenon_H17b zenon_H148 zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H16c zenon_Heb zenon_Hea zenon_Hec zenon_H80 zenon_H182 zenon_H183 zenon_H184 zenon_H1f zenon_H18b zenon_H123 zenon_Hd9 zenon_H128. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.97/1.12 apply (zenon_L55_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.12 apply (zenon_L652_); trivial. % 0.97/1.12 apply (zenon_L521_); trivial. % 0.97/1.12 apply (zenon_L473_); trivial. % 0.97/1.12 apply (zenon_L461_); trivial. % 0.97/1.12 apply (zenon_L448_); trivial. % 0.97/1.12 (* end of lemma zenon_L657_ *) % 0.97/1.12 assert (zenon_L658_ : ((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((hskp26)\/(hskp12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_Hf3 zenon_H209 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_Hd6 zenon_H1cf zenon_Hc8 zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_H1d7 zenon_H1f9 zenon_H13c zenon_H13e zenon_H11f zenon_H9f zenon_H101 zenon_H11c zenon_H123 zenon_H77 zenon_H8c zenon_Hd9 zenon_H18b zenon_H128 zenon_H80 zenon_H16c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H148 zenon_H17b zenon_Hba zenon_H192 zenon_H129. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_L472_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L464_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L314_); trivial. % 0.97/1.12 apply (zenon_L657_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_L472_); trivial. % 0.97/1.12 apply (zenon_L591_); trivial. % 0.97/1.12 (* end of lemma zenon_L658_ *) % 0.97/1.12 assert (zenon_L659_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (~(c0_1 (a1320))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> (ndr1_0) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H11f zenon_Hc1 zenon_Hc0 zenon_H1e2 zenon_Hbf zenon_H91 zenon_H90 zenon_H8f zenon_H12 zenon_H292 zenon_H293 zenon_H294. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.97/1.12 apply (zenon_L616_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.97/1.12 apply (zenon_L36_); trivial. % 0.97/1.12 apply (zenon_L447_); trivial. % 0.97/1.12 (* end of lemma zenon_L659_ *) % 0.97/1.12 assert (zenon_L660_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp7)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H9a zenon_H1e7 zenon_H294 zenon_H293 zenon_H292 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H11f zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e8 ]. % 0.97/1.12 apply (zenon_L659_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H6 ]. % 0.97/1.12 apply (zenon_L509_); trivial. % 0.97/1.12 exact (zenon_H5 zenon_H6). % 0.97/1.12 (* end of lemma zenon_L660_ *) % 0.97/1.12 assert (zenon_L661_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H209 zenon_H1e0 zenon_H9f zenon_H1e7 zenon_H5 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H261 zenon_H246 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H12 zenon_H80 zenon_H24a zenon_H123 zenon_H98 zenon_H225 zenon_H7a zenon_H8c zenon_H1de zenon_H1dc zenon_Hd0 zenon_H27a zenon_H17c zenon_H17e zenon_H17b zenon_H5e zenon_H63 zenon_Hba zenon_H1d7. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_L366_); trivial. % 0.97/1.12 apply (zenon_L660_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_L493_); trivial. % 0.97/1.12 apply (zenon_L660_); trivial. % 0.97/1.12 apply (zenon_L627_); trivial. % 0.97/1.12 apply (zenon_L148_); trivial. % 0.97/1.12 (* end of lemma zenon_L661_ *) % 0.97/1.12 assert (zenon_L662_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H77 zenon_H5e zenon_H73 zenon_H28b zenon_H3b zenon_H15a zenon_H159 zenon_H158 zenon_Heb zenon_Hea zenon_Hec zenon_H1f zenon_H22 zenon_H4e zenon_H79 zenon_H7a zenon_H17b zenon_H17e zenon_H17c zenon_H27a zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_Hd0 zenon_H1dc zenon_H1de zenon_H8c zenon_H103 zenon_H104 zenon_H105 zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H9f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L494_); trivial. % 0.97/1.12 apply (zenon_L623_); trivial. % 0.97/1.12 (* end of lemma zenon_L662_ *) % 0.97/1.12 assert (zenon_L663_ : ((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_Hbb zenon_H129 zenon_Hf3 zenon_H209 zenon_H17e zenon_H27a zenon_H5e zenon_H73 zenon_Hd0 zenon_H1dc zenon_H1de zenon_H123 zenon_H26 zenon_H2ba zenon_H16c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H16b zenon_H278 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H80 zenon_H17b zenon_H11c zenon_H9f zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H105 zenon_H104 zenon_H103 zenon_H77 zenon_H8c zenon_Hd9 zenon_Hb4 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9 zenon_H128 zenon_H1fb zenon_Hba zenon_H1d7 zenon_H18d zenon_H276 zenon_H1b5 zenon_H192. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_L268_); trivial. % 0.97/1.12 apply (zenon_L448_); trivial. % 0.97/1.12 apply (zenon_L145_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.12 apply (zenon_L637_); trivial. % 0.97/1.12 apply (zenon_L267_); trivial. % 0.97/1.12 apply (zenon_L387_); trivial. % 0.97/1.12 apply (zenon_L404_); trivial. % 0.97/1.12 apply (zenon_L407_); trivial. % 0.97/1.12 apply (zenon_L498_); trivial. % 0.97/1.12 (* end of lemma zenon_L663_ *) % 0.97/1.12 assert (zenon_L664_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H63 zenon_H5e zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H5 zenon_H1e7 zenon_H17b zenon_H17e zenon_H17c zenon_H27a zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_Hd0 zenon_H1dc zenon_H1de zenon_H8c zenon_H103 zenon_H104 zenon_H105 zenon_H292 zenon_H293 zenon_H294 zenon_H11f zenon_H9f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L494_); trivial. % 0.97/1.12 apply (zenon_L627_); trivial. % 0.97/1.12 (* end of lemma zenon_L664_ *) % 0.97/1.12 assert (zenon_L665_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H209 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H9f zenon_H11f zenon_H294 zenon_H293 zenon_H292 zenon_H8c zenon_H1de zenon_H1dc zenon_Hd0 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H27a zenon_H17c zenon_H17e zenon_H17b zenon_H1e7 zenon_H5 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H5e zenon_H63 zenon_Hba zenon_H1d7. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_L664_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L235_); trivial. % 0.97/1.12 apply (zenon_L664_); trivial. % 0.97/1.12 (* end of lemma zenon_L665_ *) % 0.97/1.12 assert (zenon_L666_ : ((~(hskp3))\/((ndr1_0)/\((c0_1 (a1311))/\((c2_1 (a1311))/\(~(c1_1 (a1311))))))) -> ((~(hskp5))\/((ndr1_0)/\((c1_1 (a1314))/\((~(c0_1 (a1314)))/\(~(c3_1 (a1314))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((hskp26)\/(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp5)\/(hskp6))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((hskp3)\/((hskp4)\/(hskp7))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp14)\/((hskp4)\/(hskp1))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((~(hskp6))\/((ndr1_0)/\((c3_1 (a1315))/\((~(c0_1 (a1315)))/\(~(c1_1 (a1315))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> ((~(hskp4))\/((ndr1_0)/\((c0_1 (a1312))/\((~(c1_1 (a1312)))/\(~(c3_1 (a1312))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H2c9 zenon_H2a3 zenon_H16b zenon_H161 zenon_H1e0 zenon_H12a zenon_H18d zenon_Hd2 zenon_H156 zenon_H127 zenon_Hd6 zenon_H151 zenon_H129 zenon_Hb9 zenon_Hba zenon_Hb4 zenon_H8c zenon_H80 zenon_H9b zenon_H9f zenon_H7a zenon_H79 zenon_H63 zenon_H60 zenon_H4e zenon_H26 zenon_H22 zenon_Hf zenon_H3e zenon_H78 zenon_H73 zenon_H77 zenon_Hcb zenon_Hcf zenon_H7 zenon_H1e7 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Hf3 zenon_H134 zenon_H209 zenon_H17b zenon_H278 zenon_H101 zenon_H148 zenon_H16c zenon_H123 zenon_Hd9 zenon_H128 zenon_H1fb zenon_H225 zenon_H18b zenon_H192 zenon_H17e zenon_H27a zenon_H11f zenon_H11c zenon_H24a zenon_H25d zenon_H261 zenon_H290 zenon_H1dc zenon_H2ba zenon_H19f zenon_H246 zenon_H27c zenon_H1de zenon_H1d7 zenon_H1f9 zenon_H1cf zenon_H276 zenon_H1b5 zenon_H214 zenon_H20c zenon_H21f zenon_H1d4 zenon_H224 zenon_H28b zenon_H2a2. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H1 | zenon_intro zenon_H2ca ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H3 | zenon_intro zenon_H2a4 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H28d ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 0.97/1.12 apply (zenon_L508_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.97/1.12 apply (zenon_L510_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.12 apply (zenon_L525_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L532_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_L445_); trivial. % 0.97/1.12 apply (zenon_L536_); trivial. % 0.97/1.12 apply (zenon_L82_); trivial. % 0.97/1.12 apply (zenon_L542_); trivial. % 0.97/1.12 apply (zenon_L547_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H12. zenon_intro zenon_H2a5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H1a1. zenon_intro zenon_H2a6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a9. zenon_intro zenon_H1a0. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H28d ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.12 apply (zenon_L548_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L551_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L554_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_L556_); trivial. % 0.97/1.12 apply (zenon_L553_); trivial. % 0.97/1.12 apply (zenon_L557_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L551_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L122_); trivial. % 0.97/1.12 apply (zenon_L560_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L122_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L564_); trivial. % 0.97/1.12 apply (zenon_L566_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L551_); trivial. % 0.97/1.12 apply (zenon_L568_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L551_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L314_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_L570_); trivial. % 0.97/1.12 apply (zenon_L553_); trivial. % 0.97/1.12 apply (zenon_L312_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L122_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L323_); trivial. % 0.97/1.12 apply (zenon_L567_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L235_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L323_); trivial. % 0.97/1.12 apply (zenon_L573_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L122_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L574_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_L570_); trivial. % 0.97/1.12 apply (zenon_L572_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L235_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L574_); trivial. % 0.97/1.12 apply (zenon_L573_); trivial. % 0.97/1.12 apply (zenon_L47_); trivial. % 0.97/1.12 apply (zenon_L575_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.97/1.12 apply (zenon_L510_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.12 apply (zenon_L577_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_L583_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_L585_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L382_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L352_); trivial. % 0.97/1.12 apply (zenon_L567_); trivial. % 0.97/1.12 apply (zenon_L356_); trivial. % 0.97/1.12 apply (zenon_L345_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_L53_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L551_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_L590_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L235_); trivial. % 0.97/1.12 apply (zenon_L590_); trivial. % 0.97/1.12 apply (zenon_L592_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_L53_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L551_); trivial. % 0.97/1.12 apply (zenon_L593_); trivial. % 0.97/1.12 apply (zenon_L592_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L551_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L554_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_L337_); trivial. % 0.97/1.12 apply (zenon_L598_); trivial. % 0.97/1.12 apply (zenon_L557_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L551_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_L599_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L235_); trivial. % 0.97/1.12 apply (zenon_L599_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_L607_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L235_); trivial. % 0.97/1.12 apply (zenon_L607_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L605_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.12 apply (zenon_L609_); trivial. % 0.97/1.12 apply (zenon_L555_); trivial. % 0.97/1.12 apply (zenon_L610_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L235_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_L228_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.12 apply (zenon_L534_); trivial. % 0.97/1.12 apply (zenon_L604_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.12 apply (zenon_L611_); trivial. % 0.97/1.12 apply (zenon_L555_); trivial. % 0.97/1.12 apply (zenon_L612_); trivial. % 0.97/1.12 apply (zenon_L591_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L613_); trivial. % 0.97/1.12 apply (zenon_L568_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L613_); trivial. % 0.97/1.12 apply (zenon_L593_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L615_); trivial. % 0.97/1.12 apply (zenon_L567_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L235_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L615_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_L571_); trivial. % 0.97/1.12 apply (zenon_L612_); trivial. % 0.97/1.12 apply (zenon_L591_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H12. zenon_intro zenon_H28e. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H15a. zenon_intro zenon_H28f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H158. zenon_intro zenon_H159. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.12 apply (zenon_L358_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L619_); trivial. % 0.97/1.12 apply (zenon_L621_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L619_); trivial. % 0.97/1.12 apply (zenon_L164_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L382_); trivial. % 0.97/1.12 apply (zenon_L618_); trivial. % 0.97/1.12 apply (zenon_L148_); trivial. % 0.97/1.12 apply (zenon_L385_); trivial. % 0.97/1.12 apply (zenon_L622_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L122_); trivial. % 0.97/1.12 apply (zenon_L394_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L122_); trivial. % 0.97/1.12 apply (zenon_L624_); trivial. % 0.97/1.12 apply (zenon_L106_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L122_); trivial. % 0.97/1.12 apply (zenon_L405_); trivial. % 0.97/1.12 apply (zenon_L625_); trivial. % 0.97/1.12 apply (zenon_L626_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L629_); trivial. % 0.97/1.12 apply (zenon_L621_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L629_); trivial. % 0.97/1.12 apply (zenon_L106_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L629_); trivial. % 0.97/1.12 apply (zenon_L407_); trivial. % 0.97/1.12 apply (zenon_L408_); trivial. % 0.97/1.12 apply (zenon_L411_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.97/1.12 apply (zenon_L510_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.12 apply (zenon_L633_); trivial. % 0.97/1.12 apply (zenon_L640_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_L642_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L235_); trivial. % 0.97/1.12 apply (zenon_L642_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_L644_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L235_); trivial. % 0.97/1.12 apply (zenon_L644_); trivial. % 0.97/1.12 apply (zenon_L106_); trivial. % 0.97/1.12 apply (zenon_L647_); trivial. % 0.97/1.12 apply (zenon_L648_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H293. zenon_intro zenon_H2cc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H294. zenon_intro zenon_H292. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H3 | zenon_intro zenon_H2a4 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H28d ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 0.97/1.12 apply (zenon_L453_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.97/1.12 apply (zenon_L510_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.12 apply (zenon_L525_); trivial. % 0.97/1.12 apply (zenon_L450_); trivial. % 0.97/1.12 apply (zenon_L547_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H12. zenon_intro zenon_H2a5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H1a1. zenon_intro zenon_H2a6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a9. zenon_intro zenon_H1a0. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H28d ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.12 apply (zenon_L548_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L122_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L459_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_L556_); trivial. % 0.97/1.12 apply (zenon_L448_); trivial. % 0.97/1.12 apply (zenon_L650_); trivial. % 0.97/1.12 apply (zenon_L47_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.12 apply (zenon_L48_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_L50_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_L28_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_L472_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L497_); trivial. % 0.97/1.12 apply (zenon_L43_); trivial. % 0.97/1.12 apply (zenon_L47_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.97/1.12 apply (zenon_L510_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.12 apply (zenon_L478_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_L583_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L331_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L651_); trivial. % 0.97/1.12 apply (zenon_L456_); trivial. % 0.97/1.12 apply (zenon_L354_); trivial. % 0.97/1.12 apply (zenon_L576_); trivial. % 0.97/1.12 apply (zenon_L488_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_L53_); trivial. % 0.97/1.12 apply (zenon_L656_); trivial. % 0.97/1.12 apply (zenon_L658_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L464_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L459_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.12 apply (zenon_L336_); trivial. % 0.97/1.12 apply (zenon_L461_); trivial. % 0.97/1.12 apply (zenon_L448_); trivial. % 0.97/1.12 apply (zenon_L557_); trivial. % 0.97/1.12 apply (zenon_L656_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L464_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L459_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.12 apply (zenon_L609_); trivial. % 0.97/1.12 apply (zenon_L461_); trivial. % 0.97/1.12 apply (zenon_L610_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L235_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L459_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.12 apply (zenon_L611_); trivial. % 0.97/1.12 apply (zenon_L461_); trivial. % 0.97/1.12 apply (zenon_L565_); trivial. % 0.97/1.12 apply (zenon_L470_); trivial. % 0.97/1.12 apply (zenon_L658_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H12. zenon_intro zenon_H28e. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H15a. zenon_intro zenon_H28f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H158. zenon_intro zenon_H159. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.12 apply (zenon_L358_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L661_); trivial. % 0.97/1.12 apply (zenon_L621_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L661_); trivial. % 0.97/1.12 apply (zenon_L164_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_L268_); trivial. % 0.97/1.12 apply (zenon_L660_); trivial. % 0.97/1.12 apply (zenon_L145_); trivial. % 0.97/1.12 apply (zenon_L148_); trivial. % 0.97/1.12 apply (zenon_L385_); trivial. % 0.97/1.12 apply (zenon_L622_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L496_); trivial. % 0.97/1.12 apply (zenon_L621_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L226_); trivial. % 0.97/1.12 apply (zenon_L662_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L235_); trivial. % 0.97/1.12 apply (zenon_L662_); trivial. % 0.97/1.12 apply (zenon_L106_); trivial. % 0.97/1.12 apply (zenon_L663_); trivial. % 0.97/1.12 apply (zenon_L408_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L665_); trivial. % 0.97/1.12 apply (zenon_L621_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L665_); trivial. % 0.97/1.12 apply (zenon_L106_); trivial. % 0.97/1.12 apply (zenon_L663_); trivial. % 0.97/1.12 apply (zenon_L408_); trivial. % 0.97/1.12 apply (zenon_L411_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 0.97/1.12 apply (zenon_L510_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.12 apply (zenon_L478_); trivial. % 0.97/1.12 apply (zenon_L640_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L464_); trivial. % 0.97/1.12 apply (zenon_L621_); trivial. % 0.97/1.12 apply (zenon_L502_); trivial. % 0.97/1.12 apply (zenon_L647_); trivial. % 0.97/1.12 (* end of lemma zenon_L666_ *) % 0.97/1.12 assert (zenon_L667_ : (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54)))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> False). % 0.97/1.12 do 0 intro. intros zenon_Hda zenon_H12 zenon_H1aa zenon_H2cd zenon_H2ce zenon_H2cf. % 0.97/1.12 generalize (zenon_Hda (a1308)). zenon_intro zenon_H2d0. % 0.97/1.12 apply (zenon_imply_s _ _ zenon_H2d0); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d1 ]. % 0.97/1.12 exact (zenon_H11 zenon_H12). % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2d3 | zenon_intro zenon_H2d2 ]. % 0.97/1.12 generalize (zenon_H1aa (a1308)). zenon_intro zenon_H2d4. % 0.97/1.12 apply (zenon_imply_s _ _ zenon_H2d4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d5 ]. % 0.97/1.12 exact (zenon_H11 zenon_H12). % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2d6 ]. % 0.97/1.12 exact (zenon_H2cd zenon_H2d7). % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2d8 ]. % 0.97/1.12 exact (zenon_H2ce zenon_H2d9). % 0.97/1.12 exact (zenon_H2d8 zenon_H2d3). % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2da ]. % 0.97/1.12 exact (zenon_H2ce zenon_H2d9). % 0.97/1.12 exact (zenon_H2da zenon_H2cf). % 0.97/1.12 (* end of lemma zenon_L667_ *) % 0.97/1.12 assert (zenon_L668_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(hskp8)) -> (~(hskp7)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H1e0 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H12 zenon_Hda zenon_H98 zenon_H5. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1e1 ]. % 0.97/1.12 apply (zenon_L667_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H99 | zenon_intro zenon_H6 ]. % 0.97/1.12 exact (zenon_H98 zenon_H99). % 0.97/1.12 exact (zenon_H5 zenon_H6). % 0.97/1.12 (* end of lemma zenon_L668_ *) % 0.97/1.12 assert (zenon_L669_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(hskp7)) -> (~(hskp8)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H1f9 zenon_H5 zenon_H98 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H1e0 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H17c. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fa ]. % 0.97/1.12 apply (zenon_L668_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1af | zenon_intro zenon_H17d ]. % 0.97/1.12 apply (zenon_L120_); trivial. % 0.97/1.12 exact (zenon_H17c zenon_H17d). % 0.97/1.12 (* end of lemma zenon_L669_ *) % 0.97/1.12 assert (zenon_L670_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (ndr1_0) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H20e zenon_H12 zenon_H2cd zenon_H2ce zenon_H2cf. % 0.97/1.12 generalize (zenon_H20e (a1308)). zenon_intro zenon_H2db. % 0.97/1.12 apply (zenon_imply_s _ _ zenon_H2db); [ zenon_intro zenon_H11 | zenon_intro zenon_H2dc ]. % 0.97/1.12 exact (zenon_H11 zenon_H12). % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2d2 ]. % 0.97/1.12 exact (zenon_H2cd zenon_H2d7). % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2da ]. % 0.97/1.12 exact (zenon_H2ce zenon_H2d9). % 0.97/1.12 exact (zenon_H2da zenon_H2cf). % 0.97/1.12 (* end of lemma zenon_L670_ *) % 0.97/1.12 assert (zenon_L671_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp29)) -> (ndr1_0) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> (c0_1 (a1328)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (~(hskp22)) -> (~(hskp23)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H24a zenon_Hb zenon_H12 zenon_H10f zenon_H110 zenon_H10d zenon_H10e zenon_H2dd zenon_H1d zenon_H248. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H162 | zenon_intro zenon_H24b ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H10c | zenon_intro zenon_H2de ]. % 0.97/1.12 apply (zenon_L66_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H13 | zenon_intro zenon_Hc ]. % 0.97/1.12 apply (zenon_L200_); trivial. % 0.97/1.12 exact (zenon_Hb zenon_Hc). % 0.97/1.12 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e | zenon_intro zenon_H249 ]. % 0.97/1.12 exact (zenon_H1d zenon_H1e). % 0.97/1.12 exact (zenon_H248 zenon_H249). % 0.97/1.12 (* end of lemma zenon_L671_ *) % 0.97/1.12 assert (zenon_L672_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(hskp23)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (c0_1 (a1328)) -> (c3_1 (a1328)) -> (c2_1 (a1328)) -> (~(hskp29)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a1411))) -> (~(c3_1 (a1411))) -> (c0_1 (a1411)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H214 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H248 zenon_H1d zenon_H2dd zenon_H10d zenon_H110 zenon_H10f zenon_Hb zenon_H24a zenon_H12 zenon_H32 zenon_H33 zenon_H34. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H20e | zenon_intro zenon_H215 ]. % 0.97/1.12 apply (zenon_L670_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H10e | zenon_intro zenon_H31 ]. % 0.97/1.12 apply (zenon_L671_); trivial. % 0.97/1.12 apply (zenon_L16_); trivial. % 0.97/1.12 (* end of lemma zenon_L672_ *) % 0.97/1.12 assert (zenon_L673_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp23)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (~(c2_1 (a1411))) -> (~(c3_1 (a1411))) -> (c0_1 (a1411)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H11e zenon_H26 zenon_H22 zenon_H1f zenon_H2cd zenon_H2ce zenon_H2cf zenon_H24a zenon_H248 zenon_H1d zenon_H2dd zenon_H32 zenon_H33 zenon_H34 zenon_H214. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.97/1.12 apply (zenon_L672_); trivial. % 0.97/1.12 apply (zenon_L13_); trivial. % 0.97/1.12 (* end of lemma zenon_L673_ *) % 0.97/1.12 assert (zenon_L674_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((hskp28)\/((hskp25)\/(hskp14))) -> (~(hskp14)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (~(hskp22)) -> (~(hskp23)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H224 zenon_H1d4 zenon_H27c zenon_Hd7 zenon_H21f zenon_Hd6 zenon_Hd4 zenon_H20c zenon_H1f5 zenon_H214 zenon_H2dd zenon_H1d zenon_H248 zenon_H24a zenon_H2cf zenon_H2ce zenon_H2cd zenon_H1f zenon_H22 zenon_H26 zenon_H123 zenon_H78. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H20a | zenon_intro zenon_H221 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.97/1.12 apply (zenon_L52_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.12 apply (zenon_L151_); trivial. % 0.97/1.12 apply (zenon_L673_); trivial. % 0.97/1.12 apply (zenon_L333_); trivial. % 0.97/1.12 (* end of lemma zenon_L674_ *) % 0.97/1.12 assert (zenon_L675_ : ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (c3_1 (a1372)) -> (c0_1 (a1372)) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6)))))) -> (c1_1 (a1372)) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H2dd zenon_H1c7 zenon_H1c5 zenon_Hf5 zenon_H1c6 zenon_H12 zenon_Hb. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H10c | zenon_intro zenon_H2de ]. % 0.97/1.12 apply (zenon_L126_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H13 | zenon_intro zenon_Hc ]. % 0.97/1.12 generalize (zenon_H13 (a1372)). zenon_intro zenon_H2df. % 0.97/1.12 apply (zenon_imply_s _ _ zenon_H2df); [ zenon_intro zenon_H11 | zenon_intro zenon_H2e0 ]. % 0.97/1.12 exact (zenon_H11 zenon_H12). % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2e1 ]. % 0.97/1.12 exact (zenon_H1cd zenon_H1c6). % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H1cc ]. % 0.97/1.12 generalize (zenon_Hf5 (a1372)). zenon_intro zenon_H2e3. % 0.97/1.12 apply (zenon_imply_s _ _ zenon_H2e3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2e4 ]. % 0.97/1.12 exact (zenon_H11 zenon_H12). % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H2e5 ]. % 0.97/1.12 exact (zenon_H2e2 zenon_H2e6). % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1cc ]. % 0.97/1.12 exact (zenon_H1cb zenon_H1c5). % 0.97/1.12 exact (zenon_H1cc zenon_H1c7). % 0.97/1.12 exact (zenon_H1cc zenon_H1c7). % 0.97/1.12 exact (zenon_Hb zenon_Hc). % 0.97/1.12 (* end of lemma zenon_L675_ *) % 0.97/1.12 assert (zenon_L676_ : ((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(c3_1 (a1359))) -> (~(c1_1 (a1359))) -> (~(c0_1 (a1359))) -> (~(hskp29)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (~(hskp3)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H1ce zenon_H25d zenon_H255 zenon_H254 zenon_H253 zenon_Hb zenon_H2dd zenon_H1. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H12. zenon_intro zenon_H1d0. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1c5. zenon_intro zenon_H1d1. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1c6. zenon_intro zenon_H1c7. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.97/1.12 apply (zenon_L193_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.97/1.12 apply (zenon_L675_); trivial. % 0.97/1.12 exact (zenon_H1 zenon_H2). % 0.97/1.12 (* end of lemma zenon_L676_ *) % 0.97/1.12 assert (zenon_L677_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp29)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (~(c3_1 (a1359))) -> (~(c1_1 (a1359))) -> (~(c0_1 (a1359))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp30)\/((hskp2)\/(hskp9))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H1d4 zenon_H25d zenon_H1 zenon_Hb zenon_H2dd zenon_H255 zenon_H254 zenon_H253 zenon_H14d zenon_H3b zenon_H1b9. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ce ]. % 0.97/1.12 apply (zenon_L124_); trivial. % 0.97/1.12 apply (zenon_L676_); trivial. % 0.97/1.12 (* end of lemma zenon_L677_ *) % 0.97/1.12 assert (zenon_L678_ : ((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> ((hskp30)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H25c zenon_H26 zenon_H22 zenon_H1f zenon_H1d zenon_H1b9 zenon_H3b zenon_H14d zenon_H2dd zenon_H1 zenon_H25d zenon_H1d4. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.97/1.12 apply (zenon_L677_); trivial. % 0.97/1.12 apply (zenon_L13_); trivial. % 0.97/1.12 (* end of lemma zenon_L678_ *) % 0.97/1.12 assert (zenon_L679_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H131 zenon_H192 zenon_H209 zenon_H18b zenon_H1f zenon_H22 zenon_H225 zenon_H7a zenon_H1e0 zenon_H5 zenon_H98 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L669_); trivial. % 0.97/1.12 apply (zenon_L164_); trivial. % 0.97/1.12 (* end of lemma zenon_L679_ *) % 0.97/1.12 assert (zenon_L680_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(hskp28)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (ndr1_0) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hff zenon_H161 zenon_H12 zenon_H1bc zenon_H1bd zenon_H1be. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H20e | zenon_intro zenon_H2e8 ]. % 0.97/1.12 apply (zenon_L670_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H42 | zenon_intro zenon_H1bb ]. % 0.97/1.12 apply (zenon_L247_); trivial. % 0.97/1.12 apply (zenon_L125_); trivial. % 0.97/1.12 (* end of lemma zenon_L680_ *) % 0.97/1.12 assert (zenon_L681_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(hskp5)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(c2_1 (a1411))) -> (~(c3_1 (a1411))) -> (c0_1 (a1411)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H11e zenon_H214 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hc8 zenon_H1bc zenon_H1bd zenon_H1be zenon_H1cf zenon_H32 zenon_H33 zenon_H34. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H20e | zenon_intro zenon_H215 ]. % 0.97/1.12 apply (zenon_L670_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H10e | zenon_intro zenon_H31 ]. % 0.97/1.12 apply (zenon_L153_); trivial. % 0.97/1.12 apply (zenon_L16_); trivial. % 0.97/1.12 (* end of lemma zenon_L681_ *) % 0.97/1.12 assert (zenon_L682_ : ((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c2_1 (a1331)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H3d zenon_H123 zenon_H214 zenon_Hc8 zenon_H1cf zenon_H2cd zenon_H2ce zenon_H2cf zenon_H161 zenon_H1bd zenon_H1bc zenon_H1be zenon_H2e7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.12 apply (zenon_L680_); trivial. % 0.97/1.12 apply (zenon_L681_); trivial. % 0.97/1.12 (* end of lemma zenon_L682_ *) % 0.97/1.12 assert (zenon_L683_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H1d3 zenon_H78 zenon_H123 zenon_H214 zenon_Hc8 zenon_H1cf zenon_H2cd zenon_H2ce zenon_H2cf zenon_H161 zenon_H2e7 zenon_Hd4 zenon_Hd6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.97/1.12 apply (zenon_L52_); trivial. % 0.97/1.12 apply (zenon_L682_); trivial. % 0.97/1.12 (* end of lemma zenon_L683_ *) % 0.97/1.12 assert (zenon_L684_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_H78 zenon_H123 zenon_H214 zenon_Hc8 zenon_H1cf zenon_H2cd zenon_H2ce zenon_H2cf zenon_H161 zenon_H2e7 zenon_Hd4 zenon_Hd6 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L235_); trivial. % 0.97/1.12 apply (zenon_L683_); trivial. % 0.97/1.12 (* end of lemma zenon_L684_ *) % 0.97/1.12 assert (zenon_L685_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp7)) -> (~(hskp8)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H131 zenon_Hf3 zenon_H5 zenon_H98 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H1e0 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.97/1.12 apply (zenon_L668_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.97/1.12 apply (zenon_L59_); trivial. % 0.97/1.12 apply (zenon_L40_); trivial. % 0.97/1.12 (* end of lemma zenon_L685_ *) % 0.97/1.12 assert (zenon_L686_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H209 zenon_H7a zenon_H225 zenon_H98 zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_H24a zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H261 zenon_Hd6 zenon_Hd4 zenon_H2e7 zenon_H161 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H1cf zenon_Hc8 zenon_H214 zenon_H123 zenon_H78 zenon_H1d7. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L382_); trivial. % 0.97/1.12 apply (zenon_L683_); trivial. % 0.97/1.12 apply (zenon_L684_); trivial. % 0.97/1.12 (* end of lemma zenon_L686_ *) % 0.97/1.12 assert (zenon_L687_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp30)\/((hskp2)\/(hskp9))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((hskp26)\/(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_Hcf zenon_H246 zenon_H129 zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H98 zenon_H5 zenon_H1e0 zenon_H128 zenon_H18b zenon_H261 zenon_H1b9 zenon_H14d zenon_H1 zenon_H25d zenon_H78 zenon_H123 zenon_H26 zenon_H22 zenon_H24a zenon_H2dd zenon_H214 zenon_H20c zenon_Hd6 zenon_H21f zenon_H27c zenon_H1d4 zenon_H224 zenon_H225 zenon_H7a zenon_H209 zenon_H192 zenon_H22f zenon_H1b5 zenon_H2e7 zenon_H161 zenon_H1cf zenon_Hc8 zenon_H1d7 zenon_Hf3 zenon_Hb9. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L669_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.12 apply (zenon_L674_); trivial. % 0.97/1.12 apply (zenon_L678_); trivial. % 0.97/1.12 apply (zenon_L162_); trivial. % 0.97/1.12 apply (zenon_L160_); trivial. % 0.97/1.12 apply (zenon_L148_); trivial. % 0.97/1.12 apply (zenon_L679_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_L169_); trivial. % 0.97/1.12 apply (zenon_L683_); trivial. % 0.97/1.12 apply (zenon_L684_); trivial. % 0.97/1.12 apply (zenon_L685_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.12 apply (zenon_L669_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.12 apply (zenon_L674_); trivial. % 0.97/1.12 apply (zenon_L349_); trivial. % 0.97/1.12 apply (zenon_L162_); trivial. % 0.97/1.12 apply (zenon_L160_); trivial. % 0.97/1.12 apply (zenon_L683_); trivial. % 0.97/1.12 apply (zenon_L148_); trivial. % 0.97/1.12 apply (zenon_L679_); trivial. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.12 apply (zenon_L686_); trivial. % 0.97/1.12 apply (zenon_L685_); trivial. % 0.97/1.12 (* end of lemma zenon_L687_ *) % 0.97/1.12 assert (zenon_L688_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H68 zenon_H12 zenon_H1bc zenon_H1bd zenon_H1be. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H20e | zenon_intro zenon_H2e8 ]. % 0.97/1.12 apply (zenon_L670_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H42 | zenon_intro zenon_H1bb ]. % 0.97/1.12 apply (zenon_L171_); trivial. % 0.97/1.12 apply (zenon_L125_); trivial. % 0.97/1.12 (* end of lemma zenon_L688_ *) % 0.97/1.12 assert (zenon_L689_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (ndr1_0) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(hskp16)) -> (~(hskp17)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H8c zenon_H1be zenon_H1bd zenon_H1bc zenon_H12 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H8a zenon_H7e. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H68 | zenon_intro zenon_H8d ]. % 0.97/1.12 apply (zenon_L688_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H8b | zenon_intro zenon_H7f ]. % 0.97/1.12 exact (zenon_H8a zenon_H8b). % 0.97/1.12 exact (zenon_H7e zenon_H7f). % 0.97/1.12 (* end of lemma zenon_L689_ *) % 0.97/1.12 assert (zenon_L690_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c2_1 (a1331)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H9a zenon_H123 zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H161 zenon_H1bd zenon_H1bc zenon_H1be zenon_H2e7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.12 apply (zenon_L680_); trivial. % 0.97/1.12 apply (zenon_L68_); trivial. % 0.97/1.12 (* end of lemma zenon_L690_ *) % 0.97/1.12 assert (zenon_L691_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H9f zenon_H123 zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H161 zenon_H2e7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H2cf zenon_H2ce zenon_H2cd zenon_H12 zenon_H8a zenon_H8c. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.12 apply (zenon_L689_); trivial. % 0.97/1.12 apply (zenon_L690_); trivial. % 0.97/1.12 (* end of lemma zenon_L691_ *) % 0.97/1.12 assert (zenon_L692_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (c1_1 (a1333)) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.97/1.12 do 0 intro. intros zenon_H63 zenon_Had zenon_Hab zenon_Hac zenon_H1be zenon_H1bd zenon_H1bc zenon_H42 zenon_H12 zenon_H5e. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H27 | zenon_intro zenon_H67 ]. % 0.97/1.12 apply (zenon_L110_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H52 | zenon_intro zenon_H5f ]. % 0.97/1.12 apply (zenon_L371_); trivial. % 0.97/1.12 exact (zenon_H5e zenon_H5f). % 0.97/1.12 (* end of lemma zenon_L692_ *) % 0.97/1.12 assert (zenon_L693_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> False). % 0.97/1.12 do 0 intro. intros zenon_Hb6 zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H5e zenon_H63 zenon_H1bc zenon_H1bd zenon_H1be. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H20e | zenon_intro zenon_H2e8 ]. % 0.97/1.12 apply (zenon_L670_); trivial. % 0.97/1.12 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H42 | zenon_intro zenon_H1bb ]. % 0.97/1.12 apply (zenon_L692_); trivial. % 0.97/1.12 apply (zenon_L125_); trivial. % 0.97/1.12 (* end of lemma zenon_L693_ *) % 0.97/1.12 assert (zenon_L694_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.12 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H5e zenon_H63 zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H161 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.12 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.12 apply (zenon_L691_); trivial. % 0.97/1.12 apply (zenon_L693_); trivial. % 0.97/1.12 (* end of lemma zenon_L694_ *) % 0.97/1.12 assert (zenon_L695_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(hskp14)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1d7 zenon_Hba zenon_H5e zenon_H63 zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H161 zenon_H11c zenon_H11f zenon_H123 zenon_H9f zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H1f5 zenon_H276. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L226_); trivial. % 0.97/1.13 apply (zenon_L694_); trivial. % 0.97/1.13 (* end of lemma zenon_L695_ *) % 0.97/1.13 assert (zenon_L696_ : ((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H12b zenon_H209 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H9f zenon_H123 zenon_H11f zenon_H11c zenon_H161 zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H8c zenon_H63 zenon_H5e zenon_Hba zenon_H1d7. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.13 apply (zenon_L695_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L235_); trivial. % 0.97/1.13 apply (zenon_L694_); trivial. % 0.97/1.13 (* end of lemma zenon_L696_ *) % 0.97/1.13 assert (zenon_L697_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1b5 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hda zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H1b3. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b6 ]. % 0.97/1.13 apply (zenon_L667_); trivial. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b4 ]. % 0.97/1.13 apply (zenon_L120_); trivial. % 0.97/1.13 exact (zenon_H1b3 zenon_H1b4). % 0.97/1.13 (* end of lemma zenon_L697_ *) % 0.97/1.13 assert (zenon_L698_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(hskp15)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1f9 zenon_H1b3 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H17c. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fa ]. % 0.97/1.13 apply (zenon_L697_); trivial. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1af | zenon_intro zenon_H17d ]. % 0.97/1.13 apply (zenon_L120_); trivial. % 0.97/1.13 exact (zenon_H17c zenon_H17d). % 0.97/1.13 (* end of lemma zenon_L698_ *) % 0.97/1.13 assert (zenon_L699_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> False). % 0.97/1.13 do 0 intro. intros zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H52 zenon_H12 zenon_H1bc zenon_H1bd zenon_H1be. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H20e | zenon_intro zenon_H2e8 ]. % 0.97/1.13 apply (zenon_L670_); trivial. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H42 | zenon_intro zenon_H1bb ]. % 0.97/1.13 apply (zenon_L371_); trivial. % 0.97/1.13 apply (zenon_L125_); trivial. % 0.97/1.13 (* end of lemma zenon_L699_ *) % 0.97/1.13 assert (zenon_L700_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(hskp6)) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1d3 zenon_H63 zenon_H2a zenon_H29 zenon_H28 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H5e. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H27 | zenon_intro zenon_H67 ]. % 0.97/1.13 apply (zenon_L15_); trivial. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H52 | zenon_intro zenon_H5f ]. % 0.97/1.13 apply (zenon_L699_); trivial. % 0.97/1.13 exact (zenon_H5e zenon_H5f). % 0.97/1.13 (* end of lemma zenon_L700_ *) % 0.97/1.13 assert (zenon_L701_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> ((hskp20)\/(hskp18)) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H18f zenon_H128 zenon_H18b zenon_H1f zenon_Hd9 zenon_H28 zenon_H29 zenon_H2a zenon_H5e zenon_H73 zenon_H77. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.13 apply (zenon_L56_); trivial. % 0.97/1.13 apply (zenon_L160_); trivial. % 0.97/1.13 (* end of lemma zenon_L701_ *) % 0.97/1.13 assert (zenon_L702_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp15)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.97/1.13 do 0 intro. intros zenon_Hf3 zenon_H1b3 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H1b5 zenon_Hec zenon_Heb zenon_Hea zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.97/1.13 apply (zenon_L697_); trivial. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.97/1.13 apply (zenon_L59_); trivial. % 0.97/1.13 apply (zenon_L40_); trivial. % 0.97/1.13 (* end of lemma zenon_L702_ *) % 0.97/1.13 assert (zenon_L703_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H131 zenon_H1d7 zenon_H63 zenon_H5e zenon_H2e7 zenon_H2a zenon_H29 zenon_H28 zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L702_); trivial. % 0.97/1.13 apply (zenon_L700_); trivial. % 0.97/1.13 (* end of lemma zenon_L703_ *) % 0.97/1.13 assert (zenon_L704_ : ((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((hskp20)\/(hskp18)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((hskp26)\/(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H153 zenon_Hcf zenon_Hcb zenon_Hc8 zenon_H192 zenon_H128 zenon_H18b zenon_Hd9 zenon_H73 zenon_H77 zenon_H1f9 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H2e7 zenon_H5e zenon_H63 zenon_H1d7 zenon_H78 zenon_H3e zenon_Hd6 zenon_Hf3 zenon_H129 zenon_Hb9. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L698_); trivial. % 0.97/1.13 apply (zenon_L700_); trivial. % 0.97/1.13 apply (zenon_L701_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.13 apply (zenon_L53_); trivial. % 0.97/1.13 apply (zenon_L703_); trivial. % 0.97/1.13 apply (zenon_L47_); trivial. % 0.97/1.13 (* end of lemma zenon_L704_ *) % 0.97/1.13 assert (zenon_L705_ : ((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> False). % 0.97/1.13 do 0 intro. intros zenon_H7b zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H1bc zenon_H1bd zenon_H1be. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H12. zenon_intro zenon_H7c. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H44. zenon_intro zenon_H7d. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H45. zenon_intro zenon_H43. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H20e | zenon_intro zenon_H2e8 ]. % 0.97/1.13 apply (zenon_L670_); trivial. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H42 | zenon_intro zenon_H1bb ]. % 0.97/1.13 apply (zenon_L19_); trivial. % 0.97/1.13 apply (zenon_L125_); trivial. % 0.97/1.13 (* end of lemma zenon_L705_ *) % 0.97/1.13 assert (zenon_L706_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1315)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1315))) -> (ndr1_0) -> (c0_1 (a1328)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.97/1.13 do 0 intro. intros zenon_H11c zenon_H1be zenon_H1bd zenon_H1bc zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H13e zenon_Hda zenon_H13c zenon_H12 zenon_H10d zenon_H10e zenon_H10f zenon_H110. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H52 | zenon_intro zenon_H11d ]. % 0.97/1.13 apply (zenon_L699_); trivial. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H8e | zenon_intro zenon_H10c ]. % 0.97/1.13 apply (zenon_L77_); trivial. % 0.97/1.13 apply (zenon_L66_); trivial. % 0.97/1.13 (* end of lemma zenon_L706_ *) % 0.97/1.13 assert (zenon_L707_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1315)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1315))) -> (ndr1_0) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.97/1.13 do 0 intro. intros zenon_H11f zenon_H11c zenon_H1be zenon_H1bd zenon_H1bc zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H13e zenon_Hda zenon_H13c zenon_H12 zenon_H10d zenon_H10f zenon_H110. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.97/1.13 apply (zenon_L699_); trivial. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.97/1.13 apply (zenon_L77_); trivial. % 0.97/1.13 apply (zenon_L706_); trivial. % 0.97/1.13 (* end of lemma zenon_L707_ *) % 0.97/1.13 assert (zenon_L708_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1339)) -> (~(c2_1 (a1339))) -> (~(c0_1 (a1339))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> False). % 0.97/1.13 do 0 intro. intros zenon_H11e zenon_H148 zenon_He4 zenon_Hdc zenon_Hdb zenon_H13c zenon_H13e zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H1bc zenon_H1bd zenon_H1be zenon_H11c zenon_H11f zenon_Hab zenon_Hac zenon_Had. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.97/1.13 apply (zenon_L140_); trivial. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.97/1.13 apply (zenon_L707_); trivial. % 0.97/1.13 apply (zenon_L41_); trivial. % 0.97/1.13 (* end of lemma zenon_L708_ *) % 0.97/1.13 assert (zenon_L709_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c2_1 (a1331)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H124 zenon_H123 zenon_H148 zenon_Had zenon_Hac zenon_Hab zenon_H13c zenon_H13e zenon_H11c zenon_H11f zenon_H2cd zenon_H2ce zenon_H2cf zenon_H161 zenon_H1bd zenon_H1bc zenon_H1be zenon_H2e7. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.13 apply (zenon_L680_); trivial. % 0.97/1.13 apply (zenon_L708_); trivial. % 0.97/1.13 (* end of lemma zenon_L709_ *) % 0.97/1.13 assert (zenon_L710_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H7a zenon_H26 zenon_H80 zenon_H278 zenon_H14d zenon_H22f zenon_H13e zenon_H13c zenon_H148 zenon_H128 zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H161 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L235_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.13 apply (zenon_L691_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.13 apply (zenon_L252_); trivial. % 0.97/1.13 apply (zenon_L705_); trivial. % 0.97/1.13 apply (zenon_L709_); trivial. % 0.97/1.13 apply (zenon_L690_); trivial. % 0.97/1.13 (* end of lemma zenon_L710_ *) % 0.97/1.13 assert (zenon_L711_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (ndr1_0) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H209 zenon_Hba zenon_H7a zenon_H26 zenon_H80 zenon_H278 zenon_H14d zenon_H22f zenon_H13e zenon_H13c zenon_H148 zenon_H128 zenon_H8c zenon_H11c zenon_H11f zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_Hd6 zenon_Hd4 zenon_H2e7 zenon_H161 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H1cf zenon_Hc8 zenon_H214 zenon_H123 zenon_H78 zenon_H1d7. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L226_); trivial. % 0.97/1.13 apply (zenon_L683_); trivial. % 0.97/1.13 apply (zenon_L710_); trivial. % 0.97/1.13 (* end of lemma zenon_L711_ *) % 0.97/1.13 assert (zenon_L712_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1d7 zenon_Hba zenon_H1fb zenon_H1f5 zenon_H8c zenon_H2e7 zenon_H161 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H12 zenon_H17c zenon_H1f9. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L698_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.13 apply (zenon_L691_); trivial. % 0.97/1.13 apply (zenon_L145_); trivial. % 0.97/1.13 (* end of lemma zenon_L712_ *) % 0.97/1.13 assert (zenon_L713_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1d3 zenon_H7a zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H22 zenon_H1f zenon_Hec zenon_Hea zenon_Heb zenon_H182 zenon_H183 zenon_H184 zenon_H18b. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.13 apply (zenon_L104_); trivial. % 0.97/1.13 apply (zenon_L705_); trivial. % 0.97/1.13 (* end of lemma zenon_L713_ *) % 0.97/1.13 assert (zenon_L714_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(hskp14)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1d7 zenon_H7a zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H22 zenon_H1f zenon_Hec zenon_Hea zenon_Heb zenon_H182 zenon_H183 zenon_H184 zenon_H18b zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H1f5 zenon_H276. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L226_); trivial. % 0.97/1.13 apply (zenon_L713_); trivial. % 0.97/1.13 (* end of lemma zenon_L714_ *) % 0.97/1.13 assert (zenon_L715_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_H7a zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H22 zenon_H1f zenon_Hec zenon_Hea zenon_Heb zenon_H182 zenon_H183 zenon_H184 zenon_H18b zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L235_); trivial. % 0.97/1.13 apply (zenon_L713_); trivial. % 0.97/1.13 (* end of lemma zenon_L715_ *) % 0.97/1.13 assert (zenon_L716_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H18f zenon_H209 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H18b zenon_Heb zenon_Hea zenon_Hec zenon_H1f zenon_H22 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H7a zenon_H1d7. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.13 apply (zenon_L714_); trivial. % 0.97/1.13 apply (zenon_L715_); trivial. % 0.97/1.13 (* end of lemma zenon_L716_ *) % 0.97/1.13 assert (zenon_L717_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((hskp26)\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H129 zenon_H192 zenon_H18b zenon_H1f zenon_H22 zenon_H1fb zenon_H1f9 zenon_H1d7 zenon_H78 zenon_H123 zenon_H214 zenon_Hc8 zenon_H1cf zenon_H2cd zenon_H2ce zenon_H2cf zenon_H161 zenon_H2e7 zenon_Hd6 zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H276 zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H9f zenon_H11f zenon_H11c zenon_H8c zenon_H128 zenon_H148 zenon_H13c zenon_H13e zenon_H22f zenon_H14d zenon_H278 zenon_H80 zenon_H26 zenon_H7a zenon_Hba zenon_H209. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.13 apply (zenon_L711_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.13 apply (zenon_L712_); trivial. % 0.97/1.13 apply (zenon_L710_); trivial. % 0.97/1.13 apply (zenon_L716_); trivial. % 0.97/1.13 (* end of lemma zenon_L717_ *) % 0.97/1.13 assert (zenon_L718_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp22)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp30)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> (~(c0_1 (a1359))) -> (~(c1_1 (a1359))) -> (~(c3_1 (a1359))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H11e zenon_H26 zenon_H22f zenon_H1d zenon_H7e zenon_H80 zenon_H1b9 zenon_H3b zenon_H14d zenon_H253 zenon_H254 zenon_H255 zenon_H2dd zenon_H1 zenon_H25d zenon_H1d4. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.97/1.13 apply (zenon_L677_); trivial. % 0.97/1.13 apply (zenon_L251_); trivial. % 0.97/1.13 (* end of lemma zenon_L718_ *) % 0.97/1.13 assert (zenon_L719_ : ((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(hskp22)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c2_1 (a1331)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H25c zenon_H123 zenon_H26 zenon_H22f zenon_H14d zenon_H1d zenon_H7e zenon_H80 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_Hd7 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H161 zenon_H1bd zenon_H1bc zenon_H1be zenon_H2e7. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.13 apply (zenon_L680_); trivial. % 0.97/1.13 apply (zenon_L290_); trivial. % 0.97/1.13 (* end of lemma zenon_L719_ *) % 0.97/1.13 assert (zenon_L720_ : ((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((hskp26)\/(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp30)\/((hskp2)\/(hskp9))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c1_1 (a1315))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H12b zenon_Hcf zenon_H246 zenon_H129 zenon_H192 zenon_H18b zenon_H22 zenon_H1fb zenon_H1f9 zenon_H1d7 zenon_H78 zenon_H123 zenon_H214 zenon_Hc8 zenon_H1cf zenon_H2cd zenon_H2ce zenon_H2cf zenon_H161 zenon_H2e7 zenon_Hd6 zenon_H276 zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H9f zenon_H11f zenon_H11c zenon_H8c zenon_H128 zenon_H148 zenon_H13c zenon_H13e zenon_H22f zenon_H14d zenon_H278 zenon_H80 zenon_H26 zenon_H7a zenon_Hba zenon_H209 zenon_H261 zenon_H1b9 zenon_H2dd zenon_H1 zenon_H25d zenon_H1d4 zenon_H24a zenon_H19e zenon_Hf3 zenon_Hb9. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.13 apply (zenon_L717_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.13 apply (zenon_L711_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L226_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.13 apply (zenon_L217_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.13 apply (zenon_L680_); trivial. % 0.97/1.13 apply (zenon_L718_); trivial. % 0.97/1.13 apply (zenon_L705_); trivial. % 0.97/1.13 apply (zenon_L690_); trivial. % 0.97/1.13 apply (zenon_L710_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.13 apply (zenon_L717_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.13 apply (zenon_L711_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L226_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.13 apply (zenon_L691_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.13 apply (zenon_L217_); trivial. % 0.97/1.13 apply (zenon_L719_); trivial. % 0.97/1.13 apply (zenon_L705_); trivial. % 0.97/1.13 apply (zenon_L709_); trivial. % 0.97/1.13 apply (zenon_L690_); trivial. % 0.97/1.13 apply (zenon_L710_); trivial. % 0.97/1.13 (* end of lemma zenon_L720_ *) % 0.97/1.13 assert (zenon_L721_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H131 zenon_H192 zenon_H209 zenon_H1d7 zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H1b5 zenon_H18b zenon_H1f zenon_H22 zenon_H225 zenon_H7a zenon_H28 zenon_H29 zenon_H2a zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H13e zenon_H13c zenon_H98 zenon_H9b. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.13 apply (zenon_L331_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.13 apply (zenon_L163_); trivial. % 0.97/1.13 apply (zenon_L715_); trivial. % 0.97/1.13 (* end of lemma zenon_L721_ *) % 0.97/1.13 assert (zenon_L722_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp23)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> False). % 0.97/1.13 do 0 intro. intros zenon_H78 zenon_H123 zenon_H26 zenon_H22 zenon_H1f zenon_H2cd zenon_H2ce zenon_H2cf zenon_H24a zenon_H248 zenon_H1d zenon_H2dd zenon_H214 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_Hd4 zenon_Hd6. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.97/1.13 apply (zenon_L52_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.13 apply (zenon_L88_); trivial. % 0.97/1.13 apply (zenon_L673_); trivial. % 0.97/1.13 (* end of lemma zenon_L722_ *) % 0.97/1.13 assert (zenon_L723_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((hskp30)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H261 zenon_H26 zenon_H22f zenon_H1b9 zenon_H3b zenon_H14d zenon_H2dd zenon_H1 zenon_H25d zenon_H1d4 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H12 zenon_H80 zenon_H7e zenon_H1d zenon_H24a zenon_H123. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.13 apply (zenon_L365_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.13 apply (zenon_L88_); trivial. % 0.97/1.13 apply (zenon_L718_); trivial. % 0.97/1.13 (* end of lemma zenon_L723_ *) % 0.97/1.13 assert (zenon_L724_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp30)\/((hskp2)\/(hskp9))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H7a zenon_H2e7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H2cf zenon_H2ce zenon_H2cd zenon_H123 zenon_H24a zenon_H7e zenon_H80 zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H1d4 zenon_H25d zenon_H1 zenon_H2dd zenon_H14d zenon_H3b zenon_H1b9 zenon_H22f zenon_H26 zenon_H261. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.13 apply (zenon_L723_); trivial. % 0.97/1.13 apply (zenon_L705_); trivial. % 0.97/1.13 (* end of lemma zenon_L724_ *) % 0.97/1.13 assert (zenon_L725_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((hskp30)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H225 zenon_H1f5 zenon_H98 zenon_H9b zenon_H261 zenon_H26 zenon_H22f zenon_H1b9 zenon_H3b zenon_H14d zenon_H2dd zenon_H1 zenon_H25d zenon_H1d4 zenon_H80 zenon_H24a zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H7a zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H11c zenon_H123 zenon_H9f. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.13 apply (zenon_L374_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.13 apply (zenon_L724_); trivial. % 0.97/1.13 apply (zenon_L207_); trivial. % 0.97/1.13 (* end of lemma zenon_L725_ *) % 0.97/1.13 assert (zenon_L726_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp30)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((hskp26)\/(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_Hb9 zenon_H192 zenon_H18d zenon_H22f zenon_H1b5 zenon_H9f zenon_H11c zenon_H11f zenon_H8c zenon_H2e7 zenon_H80 zenon_H9b zenon_Hba zenon_H1d7 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9 zenon_H209 zenon_H1e0 zenon_H5 zenon_H261 zenon_H1b9 zenon_H3b zenon_H14d zenon_H1 zenon_H25d zenon_H1d4 zenon_Hd6 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H214 zenon_H2dd zenon_H24a zenon_H2cf zenon_H2ce zenon_H2cd zenon_H22 zenon_H26 zenon_H123 zenon_H78 zenon_H98 zenon_H225 zenon_H7a zenon_H28b zenon_H129. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.13 apply (zenon_L722_); trivial. % 0.97/1.13 apply (zenon_L678_); trivial. % 0.97/1.13 apply (zenon_L162_); trivial. % 0.97/1.13 apply (zenon_L148_); trivial. % 0.97/1.13 apply (zenon_L419_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.13 apply (zenon_L669_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L420_); trivial. % 0.97/1.13 apply (zenon_L725_); trivial. % 0.97/1.13 apply (zenon_L148_); trivial. % 0.97/1.13 (* end of lemma zenon_L726_ *) % 0.97/1.13 assert (zenon_L727_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H7a zenon_H225 zenon_H98 zenon_H1f5 zenon_H78 zenon_H123 zenon_H26 zenon_H22 zenon_H1f zenon_H2cd zenon_H2ce zenon_H2cf zenon_H24a zenon_H2dd zenon_H214 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_Hd4 zenon_Hd6 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H1b5 zenon_H1b3 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H261. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.13 apply (zenon_L722_); trivial. % 0.97/1.13 apply (zenon_L349_); trivial. % 0.97/1.13 apply (zenon_L162_); trivial. % 0.97/1.13 (* end of lemma zenon_L727_ *) % 0.97/1.13 assert (zenon_L728_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(hskp6)) -> False). % 0.97/1.13 do 0 intro. intros zenon_Hb6 zenon_H63 zenon_H182 zenon_H183 zenon_H184 zenon_H158 zenon_H159 zenon_H15a zenon_H18d zenon_H1be zenon_H1bd zenon_H1bc zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H5e. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H27 | zenon_intro zenon_H67 ]. % 0.97/1.13 apply (zenon_L111_); trivial. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H52 | zenon_intro zenon_H5f ]. % 0.97/1.13 apply (zenon_L699_); trivial. % 0.97/1.13 exact (zenon_H5e zenon_H5f). % 0.97/1.13 (* end of lemma zenon_L728_ *) % 0.97/1.13 assert (zenon_L729_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H63 zenon_H5e zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H11c zenon_H123 zenon_H9f. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.13 apply (zenon_L374_); trivial. % 0.97/1.13 apply (zenon_L728_); trivial. % 0.97/1.13 (* end of lemma zenon_L729_ *) % 0.97/1.13 assert (zenon_L730_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H131 zenon_H192 zenon_H7a zenon_H18d zenon_H15a zenon_H159 zenon_H158 zenon_H22 zenon_H1f zenon_H18b zenon_H1e0 zenon_H5 zenon_H98 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.13 apply (zenon_L669_); trivial. % 0.97/1.13 apply (zenon_L106_); trivial. % 0.97/1.13 (* end of lemma zenon_L730_ *) % 0.97/1.13 assert (zenon_L731_ : ((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> False). % 0.97/1.13 do 0 intro. intros zenon_Hbb zenon_H192 zenon_H209 zenon_H7a zenon_H225 zenon_H1b5 zenon_H24a zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H246 zenon_H261 zenon_H9f zenon_H123 zenon_H11c zenon_H11f zenon_H161 zenon_H158 zenon_H159 zenon_H15a zenon_H8c zenon_H18d zenon_H2e7 zenon_H5e zenon_H63 zenon_Hba zenon_H1d7 zenon_H1e0 zenon_H5 zenon_H98 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.13 apply (zenon_L669_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L382_); trivial. % 0.97/1.13 apply (zenon_L729_); trivial. % 0.97/1.13 apply (zenon_L148_); trivial. % 0.97/1.13 (* end of lemma zenon_L731_ *) % 0.97/1.13 assert (zenon_L732_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H9f zenon_H123 zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H2e7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H2cf zenon_H2ce zenon_H2cd zenon_H12 zenon_H8a zenon_H8c. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.13 apply (zenon_L689_); trivial. % 0.97/1.13 apply (zenon_L387_); trivial. % 0.97/1.13 (* end of lemma zenon_L732_ *) % 0.97/1.13 assert (zenon_L733_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H5e zenon_H63 zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.13 apply (zenon_L732_); trivial. % 0.97/1.13 apply (zenon_L693_); trivial. % 0.97/1.13 (* end of lemma zenon_L733_ *) % 0.97/1.13 assert (zenon_L734_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H9f zenon_H123 zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H11f zenon_H161 zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H182 zenon_H183 zenon_H184 zenon_H8c zenon_H8a zenon_H1be zenon_H1bd zenon_H1bc zenon_H18d. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.13 apply (zenon_L370_); trivial. % 0.97/1.13 apply (zenon_L500_); trivial. % 0.97/1.13 (* end of lemma zenon_L734_ *) % 0.97/1.13 assert (zenon_L735_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H2e7 zenon_H5e zenon_H63 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H123 zenon_H9f. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.13 apply (zenon_L734_); trivial. % 0.97/1.13 apply (zenon_L693_); trivial. % 0.97/1.13 (* end of lemma zenon_L735_ *) % 0.97/1.13 assert (zenon_L736_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H18f zenon_H209 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H9f zenon_H123 zenon_H11c zenon_H11f zenon_H161 zenon_H158 zenon_H159 zenon_H15a zenon_H8c zenon_H18d zenon_H2cd zenon_H2ce zenon_H2cf zenon_H63 zenon_H5e zenon_H2e7 zenon_Hba zenon_H1d7. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L226_); trivial. % 0.97/1.13 apply (zenon_L735_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L235_); trivial. % 0.97/1.13 apply (zenon_L735_); trivial. % 0.97/1.13 (* end of lemma zenon_L736_ *) % 0.97/1.13 assert (zenon_L737_ : ((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H12b zenon_H192 zenon_H209 zenon_H276 zenon_H18d zenon_H1f9 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H9f zenon_H123 zenon_H11f zenon_H11c zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H2e7 zenon_H8c zenon_H63 zenon_H5e zenon_Hba zenon_H1d7. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L698_); trivial. % 0.97/1.13 apply (zenon_L733_); trivial. % 0.97/1.13 apply (zenon_L736_); trivial. % 0.97/1.13 (* end of lemma zenon_L737_ *) % 0.97/1.13 assert (zenon_L738_ : ((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H153 zenon_H12a zenon_Hb9 zenon_H1d7 zenon_H63 zenon_H2e7 zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hf3 zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16c zenon_H16b zenon_H123 zenon_H17e zenon_H18b zenon_H22 zenon_H18d zenon_H7a zenon_H192 zenon_H129 zenon_H5e zenon_Hd2. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.13 apply (zenon_L50_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.13 apply (zenon_L107_); trivial. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.13 apply (zenon_L95_); trivial. % 0.97/1.13 apply (zenon_L703_); trivial. % 0.97/1.13 (* end of lemma zenon_L738_ *) % 0.97/1.13 assert (zenon_L739_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> False). % 0.97/1.13 do 0 intro. intros zenon_H124 zenon_H123 zenon_H148 zenon_Had zenon_Hac zenon_Hab zenon_H2e7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H2cf zenon_H2ce zenon_H2cd zenon_H13c zenon_H13e zenon_H11c zenon_H11f zenon_H158 zenon_H159 zenon_H15a zenon_H161. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.13 apply (zenon_L88_); trivial. % 0.97/1.13 apply (zenon_L708_); trivial. % 0.97/1.13 (* end of lemma zenon_L739_ *) % 0.97/1.13 assert (zenon_L740_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c2_1 (a1331)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H128 zenon_H148 zenon_Had zenon_Hac zenon_Hab zenon_H13c zenon_H13e zenon_H11c zenon_H11f zenon_H261 zenon_H26 zenon_H22f zenon_H14d zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H278 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H1bd zenon_H1bc zenon_H1be zenon_H2e7 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H12 zenon_H80 zenon_H7e zenon_H24a zenon_H123 zenon_H7a. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.13 apply (zenon_L365_); trivial. % 0.97/1.13 apply (zenon_L719_); trivial. % 0.97/1.13 apply (zenon_L705_); trivial. % 0.97/1.13 apply (zenon_L739_); trivial. % 0.97/1.13 (* end of lemma zenon_L740_ *) % 0.97/1.13 assert (zenon_L741_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c2_1 (a1331)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H225 zenon_H1f5 zenon_H98 zenon_H9b zenon_H7a zenon_H123 zenon_H24a zenon_H80 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H2e7 zenon_H1be zenon_H1bc zenon_H1bd zenon_H2cf zenon_H2ce zenon_H2cd zenon_H246 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H278 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H14d zenon_H22f zenon_H26 zenon_H261 zenon_H11f zenon_H11c zenon_H13e zenon_H13c zenon_H148 zenon_H128. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.13 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.13 apply (zenon_L740_); trivial. % 0.97/1.13 apply (zenon_L207_); trivial. % 0.97/1.13 (* end of lemma zenon_L741_ *) % 0.97/1.13 assert (zenon_L742_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H225 zenon_H1f5 zenon_H98 zenon_H9b zenon_H7a zenon_H24a zenon_H80 zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H246 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H278 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H14d zenon_H22f zenon_H26 zenon_H261 zenon_H13e zenon_H13c zenon_H148 zenon_H128 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H11c zenon_H123 zenon_H9f. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.13 apply (zenon_L374_); trivial. % 0.97/1.13 apply (zenon_L741_); trivial. % 0.97/1.13 (* end of lemma zenon_L742_ *) % 0.97/1.13 assert (zenon_L743_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((hskp30)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1d3 zenon_H9f zenon_H11f zenon_H11c zenon_H105 zenon_H104 zenon_H103 zenon_H261 zenon_H26 zenon_H22f zenon_H1b9 zenon_H3b zenon_H14d zenon_H2dd zenon_H1 zenon_H25d zenon_H1d4 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H80 zenon_H24a zenon_H123 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H7a. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.13 apply (zenon_L724_); trivial. % 0.97/1.13 apply (zenon_L690_); trivial. % 0.97/1.13 (* end of lemma zenon_L743_ *) % 0.97/1.13 assert (zenon_L744_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((hskp30)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(hskp14)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1d7 zenon_H9f zenon_H11f zenon_H11c zenon_H261 zenon_H26 zenon_H22f zenon_H1b9 zenon_H3b zenon_H14d zenon_H2dd zenon_H1 zenon_H25d zenon_H1d4 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H80 zenon_H24a zenon_H123 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H7a zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H1f5 zenon_H276. % 0.97/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.13 apply (zenon_L226_); trivial. % 0.97/1.13 apply (zenon_L743_); trivial. % 0.97/1.13 (* end of lemma zenon_L744_ *) % 0.97/1.13 assert (zenon_L745_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.13 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H7a zenon_H24a zenon_H80 zenon_H158 zenon_H159 zenon_H15a zenon_H246 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H278 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H14d zenon_H22f zenon_H26 zenon_H261 zenon_H13e zenon_H13c zenon_H148 zenon_H128 zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H161 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.13 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.14 apply (zenon_L691_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.14 apply (zenon_L740_); trivial. % 0.97/1.14 apply (zenon_L387_); trivial. % 0.97/1.14 (* end of lemma zenon_L745_ *) % 0.97/1.14 assert (zenon_L746_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(hskp14)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H1d7 zenon_Hba zenon_H7a zenon_H24a zenon_H80 zenon_H158 zenon_H159 zenon_H15a zenon_H246 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H278 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H14d zenon_H22f zenon_H26 zenon_H261 zenon_H13e zenon_H13c zenon_H148 zenon_H128 zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H161 zenon_H11c zenon_H11f zenon_H123 zenon_H9f zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H1f5 zenon_H276. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.14 apply (zenon_L226_); trivial. % 0.97/1.14 apply (zenon_L745_); trivial. % 0.97/1.14 (* end of lemma zenon_L746_ *) % 0.97/1.14 assert (zenon_L747_ : ((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hca zenon_H209 zenon_H1b5 zenon_H276 zenon_H105 zenon_H104 zenon_H103 zenon_H9f zenon_H123 zenon_H11f zenon_H11c zenon_H161 zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H8c zenon_H128 zenon_H148 zenon_H13c zenon_H13e zenon_H261 zenon_H26 zenon_H22f zenon_H14d zenon_H278 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H246 zenon_H15a zenon_H159 zenon_H158 zenon_H80 zenon_H24a zenon_H7a zenon_Hba zenon_H1d7. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.14 apply (zenon_L746_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.14 apply (zenon_L235_); trivial. % 0.97/1.14 apply (zenon_L745_); trivial. % 0.97/1.14 (* end of lemma zenon_L747_ *) % 0.97/1.14 assert (zenon_L748_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H9f zenon_H9b zenon_H98 zenon_H2a zenon_H29 zenon_H28 zenon_H2e7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H2cf zenon_H2ce zenon_H2cd zenon_H12 zenon_H8a zenon_H8c. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.14 apply (zenon_L689_); trivial. % 0.97/1.14 apply (zenon_L38_); trivial. % 0.97/1.14 (* end of lemma zenon_L748_ *) % 0.97/1.14 assert (zenon_L749_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp14)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H225 zenon_H1f5 zenon_H7a zenon_H123 zenon_H24a zenon_H80 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H246 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H278 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H14d zenon_H22f zenon_H26 zenon_H261 zenon_H11f zenon_H11c zenon_H13e zenon_H13c zenon_H148 zenon_H128 zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.14 apply (zenon_L748_); trivial. % 0.97/1.14 apply (zenon_L741_); trivial. % 0.97/1.14 (* end of lemma zenon_L749_ *) % 0.97/1.14 assert (zenon_L750_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H7a zenon_H18d zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H26 zenon_H161 zenon_H80 zenon_H278 zenon_H14d zenon_H22f zenon_H123 zenon_H11f zenon_H11c zenon_H13c zenon_H13e zenon_H148 zenon_H128 zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.14 apply (zenon_L235_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.14 apply (zenon_L748_); trivial. % 0.97/1.14 apply (zenon_L424_); trivial. % 0.97/1.14 (* end of lemma zenon_L750_ *) % 0.97/1.14 assert (zenon_L751_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1330)) -> (~(c2_1 (a1330))) -> (~(c1_1 (a1330))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H7a zenon_H2e7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H2cf zenon_H2ce zenon_H2cd zenon_H278 zenon_Hd7 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H12 zenon_H1f zenon_H22 zenon_H26. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.14 apply (zenon_L338_); trivial. % 0.97/1.14 apply (zenon_L705_); trivial. % 0.97/1.14 (* end of lemma zenon_L751_ *) % 0.97/1.14 assert (zenon_L752_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hb6 zenon_H128 zenon_H123 zenon_H148 zenon_H13c zenon_H13e zenon_H11c zenon_H11f zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H26 zenon_H22 zenon_H1f zenon_H1fd zenon_H1fe zenon_H1ff zenon_H278 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H1bc zenon_H1bd zenon_H1be zenon_H2e7 zenon_H7a. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.14 apply (zenon_L751_); trivial. % 0.97/1.14 apply (zenon_L739_); trivial. % 0.97/1.14 (* end of lemma zenon_L752_ *) % 0.97/1.14 assert (zenon_L753_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H9a zenon_H123 zenon_H11f zenon_H11c zenon_H13c zenon_H13e zenon_Hea zenon_Heb zenon_Hec zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_H105 zenon_H104 zenon_H103 zenon_H158 zenon_H159 zenon_H15a zenon_H161. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.14 apply (zenon_L88_); trivial. % 0.97/1.14 apply (zenon_L278_); trivial. % 0.97/1.14 (* end of lemma zenon_L753_ *) % 0.97/1.14 assert (zenon_L754_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (c3_1 (a1315)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1315))) -> (ndr1_0) -> (c0_1 (a1328)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H11c zenon_H1be zenon_H1bd zenon_H1bc zenon_H42 zenon_H13e zenon_Hda zenon_H13c zenon_H12 zenon_H10d zenon_H10e zenon_H10f zenon_H110. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H52 | zenon_intro zenon_H11d ]. % 0.97/1.14 apply (zenon_L371_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H8e | zenon_intro zenon_H10c ]. % 0.97/1.14 apply (zenon_L77_); trivial. % 0.97/1.14 apply (zenon_L66_); trivial. % 0.97/1.14 (* end of lemma zenon_L754_ *) % 0.97/1.14 assert (zenon_L755_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (c3_1 (a1315)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1315))) -> (ndr1_0) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H11f zenon_H11c zenon_H1be zenon_H1bd zenon_H1bc zenon_H42 zenon_H13e zenon_Hda zenon_H13c zenon_H12 zenon_H10d zenon_H10f zenon_H110. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.97/1.14 apply (zenon_L371_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.97/1.14 apply (zenon_L77_); trivial. % 0.97/1.14 apply (zenon_L754_); trivial. % 0.97/1.14 (* end of lemma zenon_L755_ *) % 0.97/1.14 assert (zenon_L756_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c3_1 (a1315)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1315))) -> (ndr1_0) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H18d zenon_H15a zenon_H159 zenon_H158 zenon_H184 zenon_H183 zenon_H182 zenon_H11f zenon_H11c zenon_H1be zenon_H1bd zenon_H1bc zenon_H13e zenon_Hda zenon_H13c zenon_H12 zenon_H10d zenon_H10f zenon_H110. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H157 | zenon_intro zenon_H18e ]. % 0.97/1.14 apply (zenon_L87_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H181 | zenon_intro zenon_H42 ]. % 0.97/1.14 apply (zenon_L103_); trivial. % 0.97/1.14 apply (zenon_L755_); trivial. % 0.97/1.14 (* end of lemma zenon_L756_ *) % 0.97/1.14 assert (zenon_L757_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H11e zenon_Hf3 zenon_H13c zenon_H13e zenon_H1bc zenon_H1bd zenon_H1be zenon_H11c zenon_H11f zenon_H182 zenon_H183 zenon_H184 zenon_H158 zenon_H159 zenon_H15a zenon_H18d zenon_Hec zenon_Heb zenon_Hea zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.97/1.14 apply (zenon_L756_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.97/1.14 apply (zenon_L59_); trivial. % 0.97/1.14 apply (zenon_L40_); trivial. % 0.97/1.14 (* end of lemma zenon_L757_ *) % 0.97/1.14 assert (zenon_L758_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H131 zenon_H192 zenon_H276 zenon_H18d zenon_H1d7 zenon_Hba zenon_H1fb zenon_H8c zenon_H2e7 zenon_H161 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H1f9 zenon_H128 zenon_H148 zenon_H13c zenon_H13e zenon_H158 zenon_H159 zenon_H15a zenon_H22f zenon_H14d zenon_H17e zenon_H278 zenon_H80 zenon_H26 zenon_H7a zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H209. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.14 apply (zenon_L712_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.14 apply (zenon_L235_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.14 apply (zenon_L691_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.14 apply (zenon_L237_); trivial. % 0.97/1.14 apply (zenon_L211_); trivial. % 0.97/1.14 apply (zenon_L705_); trivial. % 0.97/1.14 apply (zenon_L739_); trivial. % 0.97/1.14 apply (zenon_L753_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.14 apply (zenon_L226_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.14 apply (zenon_L680_); trivial. % 0.97/1.14 apply (zenon_L757_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.14 apply (zenon_L235_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.14 apply (zenon_L691_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.14 apply (zenon_L237_); trivial. % 0.97/1.14 apply (zenon_L757_); trivial. % 0.97/1.14 apply (zenon_L739_); trivial. % 0.97/1.14 apply (zenon_L500_); trivial. % 0.97/1.14 (* end of lemma zenon_L758_ *) % 0.97/1.14 assert (zenon_L759_ : ((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H3d zenon_H214 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H294 zenon_H293 zenon_H292. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H20e | zenon_intro zenon_H215 ]. % 0.97/1.14 apply (zenon_L670_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H10e | zenon_intro zenon_H31 ]. % 0.97/1.14 apply (zenon_L447_); trivial. % 0.97/1.14 apply (zenon_L16_); trivial. % 0.97/1.14 (* end of lemma zenon_L759_ *) % 0.97/1.14 assert (zenon_L760_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hd4 zenon_Hd6. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.97/1.14 apply (zenon_L52_); trivial. % 0.97/1.14 apply (zenon_L759_); trivial. % 0.97/1.14 (* end of lemma zenon_L760_ *) % 0.97/1.14 assert (zenon_L761_ : ((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hbb zenon_H129 zenon_Hf3 zenon_H98 zenon_H5 zenon_H1e0 zenon_Hd6 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.14 apply (zenon_L760_); trivial. % 0.97/1.14 apply (zenon_L685_); trivial. % 0.97/1.14 (* end of lemma zenon_L761_ *) % 0.97/1.14 assert (zenon_L762_ : ((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H12b zenon_H129 zenon_H151 zenon_H3 zenon_Hd6 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.14 apply (zenon_L760_); trivial. % 0.97/1.14 apply (zenon_L82_); trivial. % 0.97/1.14 (* end of lemma zenon_L762_ *) % 0.97/1.14 assert (zenon_L763_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((hskp26)\/(hskp12)) -> ((hskp30)\/((hskp2)\/(hskp9))) -> (~(hskp2)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp4)\/(hskp2))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H127 zenon_H151 zenon_Hb9 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hd6 zenon_H1b9 zenon_H14d zenon_H1e0 zenon_H5 zenon_H27c zenon_Hf3 zenon_H1d4 zenon_H129 zenon_H3 zenon_H14f zenon_Hcf. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.14 apply (zenon_L760_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ce ]. % 0.97/1.14 apply (zenon_L124_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H12. zenon_intro zenon_H1d0. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1c5. zenon_intro zenon_H1d1. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1c6. zenon_intro zenon_H1c7. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.97/1.14 apply (zenon_L668_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.97/1.14 apply (zenon_L59_); trivial. % 0.97/1.14 apply (zenon_L477_); trivial. % 0.97/1.14 apply (zenon_L761_); trivial. % 0.97/1.14 apply (zenon_L81_); trivial. % 0.97/1.14 apply (zenon_L762_); trivial. % 0.97/1.14 (* end of lemma zenon_L763_ *) % 0.97/1.14 assert (zenon_L764_ : ((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((hskp26)\/(hskp12)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> (~(hskp4)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp4)\/(hskp2))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H153 zenon_H127 zenon_H151 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H214 zenon_Hb9 zenon_H78 zenon_H3e zenon_Hd6 zenon_H9f zenon_H9b zenon_Hf zenon_H80 zenon_H8c zenon_H26 zenon_H77 zenon_H1d4 zenon_H27c zenon_Hf3 zenon_H292 zenon_H293 zenon_H294 zenon_H21f zenon_H13e zenon_H13c zenon_H148 zenon_H128 zenon_Hba zenon_H129 zenon_H3 zenon_H14d zenon_H14f zenon_Hcf. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.14 apply (zenon_L478_); trivial. % 0.97/1.14 apply (zenon_L81_); trivial. % 0.97/1.14 apply (zenon_L762_); trivial. % 0.97/1.14 (* end of lemma zenon_L764_ *) % 0.97/1.14 assert (zenon_L765_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((hskp26)\/(hskp12)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hb9 zenon_Hf3 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hd6 zenon_H7a zenon_H225 zenon_H98 zenon_H22 zenon_H158 zenon_H159 zenon_H15a zenon_H3b zenon_H28b zenon_H5 zenon_H1e0 zenon_H209 zenon_H129. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.14 apply (zenon_L760_); trivial. % 0.97/1.14 apply (zenon_L419_); trivial. % 0.97/1.14 apply (zenon_L761_); trivial. % 0.97/1.14 (* end of lemma zenon_L765_ *) % 0.97/1.14 assert (zenon_L766_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((hskp26)\/(hskp12)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> (~(hskp4)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp4)\/(hskp2))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H127 zenon_H151 zenon_Hb9 zenon_Hf3 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hd6 zenon_H7a zenon_H225 zenon_H22 zenon_H158 zenon_H159 zenon_H15a zenon_H28b zenon_H5 zenon_H1e0 zenon_H209 zenon_H129 zenon_H3 zenon_H14d zenon_H14f zenon_Hcf. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 0.97/1.14 apply (zenon_L765_); trivial. % 0.97/1.14 apply (zenon_L81_); trivial. % 0.97/1.14 apply (zenon_L762_); trivial. % 0.97/1.14 (* end of lemma zenon_L766_ *) % 0.97/1.14 assert (zenon_L767_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1321)) -> (c0_1 (a1321)) -> (~(c2_1 (a1321))) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp20)) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (ndr1_0) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H123 zenon_H26 zenon_H16c zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H7e zenon_H80 zenon_Hd zenon_Hf zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H17b. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.14 apply (zenon_L88_); trivial. % 0.97/1.14 apply (zenon_L179_); trivial. % 0.97/1.14 apply (zenon_L181_); trivial. % 0.97/1.14 apply (zenon_L759_); trivial. % 0.97/1.14 (* end of lemma zenon_L767_ *) % 0.97/1.14 assert (zenon_L768_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (ndr1_0) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a1321))) -> (c0_1 (a1321)) -> (c3_1 (a1321)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H77 zenon_H73 zenon_H5e zenon_H2a zenon_H29 zenon_H28 zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H12 zenon_Hf zenon_H80 zenon_H7e zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H16c zenon_H26 zenon_H123 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.97/1.14 apply (zenon_L767_); trivial. % 0.97/1.14 apply (zenon_L27_); trivial. % 0.97/1.14 (* end of lemma zenon_L768_ *) % 0.97/1.14 assert (zenon_L769_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (ndr1_0) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H12a zenon_H9f zenon_H9b zenon_H98 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H123 zenon_H26 zenon_H16c zenon_H80 zenon_Hf zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H17b zenon_H73 zenon_H77 zenon_H12 zenon_H28 zenon_H29 zenon_H2a zenon_H5e zenon_Hd2. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.14 apply (zenon_L50_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.14 apply (zenon_L768_); trivial. % 0.97/1.14 apply (zenon_L38_); trivial. % 0.97/1.14 (* end of lemma zenon_L769_ *) % 0.97/1.14 assert (zenon_L770_ : ((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H153 zenon_H127 zenon_H11f zenon_Hd2 zenon_H5e zenon_H77 zenon_H73 zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_Hf zenon_H80 zenon_H16c zenon_H26 zenon_H123 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_H9b zenon_H9f zenon_H12a. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.14 apply (zenon_L769_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 0.97/1.14 apply (zenon_L50_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.14 apply (zenon_L768_); trivial. % 0.97/1.14 apply (zenon_L448_); trivial. % 0.97/1.14 (* end of lemma zenon_L770_ *) % 0.97/1.14 assert (zenon_L771_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H77 zenon_H26 zenon_H8c zenon_H8a zenon_H7e zenon_H80 zenon_Hf zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.97/1.14 apply (zenon_L33_); trivial. % 0.97/1.14 apply (zenon_L759_); trivial. % 0.97/1.14 apply (zenon_L34_); trivial. % 0.97/1.14 (* end of lemma zenon_L771_ *) % 0.97/1.14 assert (zenon_L772_ : ((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H9a zenon_H11f zenon_H1be zenon_H1bd zenon_H1bc zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H292 zenon_H293 zenon_H294. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.97/1.14 apply (zenon_L699_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.97/1.14 apply (zenon_L36_); trivial. % 0.97/1.14 apply (zenon_L447_); trivial. % 0.97/1.14 (* end of lemma zenon_L772_ *) % 0.97/1.14 assert (zenon_L773_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H9f zenon_H11f zenon_H1bc zenon_H1bd zenon_H1be zenon_H2e7 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hf zenon_H80 zenon_H8a zenon_H8c zenon_H26 zenon_H77. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.14 apply (zenon_L771_); trivial. % 0.97/1.14 apply (zenon_L772_); trivial. % 0.97/1.14 (* end of lemma zenon_L773_ *) % 0.97/1.14 assert (zenon_L774_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H5e zenon_H63 zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_H2e7 zenon_H11f zenon_H9f. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.14 apply (zenon_L773_); trivial. % 0.97/1.14 apply (zenon_L693_); trivial. % 0.97/1.14 (* end of lemma zenon_L774_ *) % 0.97/1.14 assert (zenon_L775_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H5e zenon_H63 zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_H2e7 zenon_H11f zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.14 apply (zenon_L235_); trivial. % 0.97/1.14 apply (zenon_L774_); trivial. % 0.97/1.14 (* end of lemma zenon_L775_ *) % 0.97/1.14 assert (zenon_L776_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H18f zenon_H209 zenon_H1d7 zenon_Hba zenon_H5e zenon_H63 zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_H2e7 zenon_H11f zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H18b zenon_Heb zenon_Hea zenon_Hec zenon_H1f zenon_H22 zenon_H98 zenon_H225 zenon_H7a. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.14 apply (zenon_L163_); trivial. % 0.97/1.14 apply (zenon_L775_); trivial. % 0.97/1.14 (* end of lemma zenon_L776_ *) % 0.97/1.14 assert (zenon_L777_ : ((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hbb zenon_H129 zenon_H1d7 zenon_Hba zenon_H5e zenon_H63 zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H2e7 zenon_H11f zenon_H9f zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_Hf3 zenon_Hd6 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.14 apply (zenon_L760_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.14 apply (zenon_L702_); trivial. % 0.97/1.14 apply (zenon_L774_); trivial. % 0.97/1.14 (* end of lemma zenon_L777_ *) % 0.97/1.14 assert (zenon_L778_ : ((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H12b zenon_H209 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H276 zenon_H9f zenon_H11f zenon_H2e7 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hf zenon_H80 zenon_H8c zenon_H26 zenon_H77 zenon_H63 zenon_H5e zenon_Hba zenon_H1d7. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.14 apply (zenon_L226_); trivial. % 0.97/1.14 apply (zenon_L774_); trivial. % 0.97/1.14 apply (zenon_L775_); trivial. % 0.97/1.14 (* end of lemma zenon_L778_ *) % 0.97/1.14 assert (zenon_L779_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H127 zenon_H276 zenon_H129 zenon_H192 zenon_H209 zenon_H18b zenon_H22 zenon_H225 zenon_H7a zenon_H1f9 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5 zenon_H9f zenon_H11f zenon_H2e7 zenon_Hf zenon_H80 zenon_H8c zenon_H26 zenon_H77 zenon_H63 zenon_H5e zenon_Hba zenon_H1d7 zenon_Hd6 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_Hf3 zenon_Hb9. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.14 apply (zenon_L760_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.14 apply (zenon_L698_); trivial. % 0.97/1.14 apply (zenon_L774_); trivial. % 0.97/1.14 apply (zenon_L776_); trivial. % 0.97/1.14 apply (zenon_L777_); trivial. % 0.97/1.14 apply (zenon_L778_); trivial. % 0.97/1.14 (* end of lemma zenon_L779_ *) % 0.97/1.14 assert (zenon_L780_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((hskp26)\/(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hb9 zenon_Hf3 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hd6 zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H98 zenon_H5 zenon_H1e0 zenon_H7a zenon_H225 zenon_H22 zenon_H18b zenon_H209 zenon_H192 zenon_H129. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.14 apply (zenon_L760_); trivial. % 0.97/1.14 apply (zenon_L679_); trivial. % 0.97/1.14 apply (zenon_L761_); trivial. % 0.97/1.14 (* end of lemma zenon_L780_ *) % 0.97/1.14 assert (zenon_L781_ : ((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hbb zenon_H129 zenon_Hf3 zenon_H103 zenon_H104 zenon_H105 zenon_H13c zenon_H13e zenon_H11f zenon_Hd6 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.14 apply (zenon_L760_); trivial. % 0.97/1.14 apply (zenon_L470_); trivial. % 0.97/1.14 (* end of lemma zenon_L781_ *) % 0.97/1.14 assert (zenon_L782_ : ((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((hskp26)\/(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H12b zenon_Hb9 zenon_Hf3 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hd6 zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H13c zenon_H13e zenon_H11f zenon_H1d7 zenon_H7a zenon_H2e7 zenon_H22 zenon_H18b zenon_H276 zenon_H1b5 zenon_H209 zenon_H192 zenon_H129. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.14 apply (zenon_L760_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.14 apply (zenon_L464_); trivial. % 0.97/1.14 apply (zenon_L716_); trivial. % 0.97/1.14 apply (zenon_L781_); trivial. % 0.97/1.14 (* end of lemma zenon_L782_ *) % 0.97/1.14 assert (zenon_L783_ : ((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hbb zenon_H129 zenon_H9b zenon_H98 zenon_H13c zenon_H13e zenon_Hf3 zenon_H2a zenon_H29 zenon_H28 zenon_Hd6 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.14 apply (zenon_L760_); trivial. % 0.97/1.14 apply (zenon_L345_); trivial. % 0.97/1.14 (* end of lemma zenon_L783_ *) % 0.97/1.14 assert (zenon_L784_ : ((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H72 zenon_H78 zenon_H123 zenon_H214 zenon_H1bc zenon_H1bd zenon_H1be zenon_Hc8 zenon_H1cf zenon_H2cf zenon_H2ce zenon_H2cd zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H11c zenon_H13e zenon_H13c zenon_H105 zenon_H104 zenon_H103 zenon_Hab zenon_Hac zenon_Had zenon_H148 zenon_Hd4 zenon_Hd6. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.97/1.14 apply (zenon_L52_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.14 apply (zenon_L587_); trivial. % 0.97/1.14 apply (zenon_L681_); trivial. % 0.97/1.14 (* end of lemma zenon_L784_ *) % 0.97/1.14 assert (zenon_L785_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c1_1 (a1333)) -> (~(c3_1 (a1333))) -> (~(c2_1 (a1333))) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H124 zenon_H7a zenon_H2e7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H2cf zenon_H2ce zenon_H2cd zenon_H148 zenon_Had zenon_Hac zenon_Hab zenon_H19e zenon_H13c zenon_H13e zenon_H24a zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1 zenon_H25d zenon_H261. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.14 apply (zenon_L596_); trivial. % 0.97/1.14 apply (zenon_L705_); trivial. % 0.97/1.14 (* end of lemma zenon_L785_ *) % 0.97/1.14 assert (zenon_L786_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> (~(c1_1 (a1315))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp20)\/(hskp18)) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(hskp14)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H1d7 zenon_Hba zenon_H128 zenon_H7a zenon_H19e zenon_H24a zenon_H1 zenon_H25d zenon_H261 zenon_Hd9 zenon_Hd6 zenon_Hd4 zenon_H148 zenon_H13c zenon_H13e zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H101 zenon_H1cf zenon_Hc8 zenon_H214 zenon_H78 zenon_H77 zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H161 zenon_H11c zenon_H11f zenon_H123 zenon_H9f zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H1f5 zenon_H276. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.14 apply (zenon_L226_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.14 apply (zenon_L691_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.97/1.14 apply (zenon_L55_); trivial. % 0.97/1.14 apply (zenon_L784_); trivial. % 0.97/1.14 apply (zenon_L785_); trivial. % 0.97/1.14 (* end of lemma zenon_L786_ *) % 0.97/1.14 assert (zenon_L787_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp26)\/(hskp12)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> (~(c1_1 (a1315))) -> ((hskp20)\/(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H129 zenon_H9f zenon_H7a zenon_H17b zenon_H17e zenon_H27a zenon_H123 zenon_H11f zenon_H11c zenon_H103 zenon_H104 zenon_H105 zenon_H101 zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_H24a zenon_H151 zenon_H1 zenon_H25d zenon_H261 zenon_Hd6 zenon_H3 zenon_H134 zenon_H78 zenon_H1d7 zenon_Hba zenon_H128 zenon_H19e zenon_Hd9 zenon_H148 zenon_H13c zenon_H13e zenon_H1cf zenon_Hc8 zenon_H214 zenon_H77 zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H161 zenon_H276 zenon_H278 zenon_H2ba zenon_H26 zenon_H1f zenon_H18b zenon_H209 zenon_H192. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.14 apply (zenon_L532_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.14 apply (zenon_L786_); trivial. % 0.97/1.14 apply (zenon_L536_); trivial. % 0.97/1.14 apply (zenon_L82_); trivial. % 0.97/1.14 (* end of lemma zenon_L787_ *) % 0.97/1.14 assert (zenon_L788_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H77 zenon_H78 zenon_H214 zenon_Hc8 zenon_H1cf zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H13e zenon_H13c zenon_H148 zenon_Hd4 zenon_Hd6 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hb4 zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H161 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.14 apply (zenon_L691_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.97/1.14 apply (zenon_L42_); trivial. % 0.97/1.14 apply (zenon_L784_); trivial. % 0.97/1.14 (* end of lemma zenon_L788_ *) % 0.97/1.14 assert (zenon_L789_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(hskp14)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H1d7 zenon_Hba zenon_H77 zenon_H78 zenon_H214 zenon_Hc8 zenon_H1cf zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H13e zenon_H13c zenon_H148 zenon_Hd4 zenon_Hd6 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hb4 zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H161 zenon_H11c zenon_H11f zenon_H123 zenon_H9f zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H1f5 zenon_H276. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.14 apply (zenon_L226_); trivial. % 0.97/1.14 apply (zenon_L788_); trivial. % 0.97/1.14 (* end of lemma zenon_L789_ *) % 0.97/1.14 assert (zenon_L790_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> (~(hskp22)) -> (~(hskp23)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H78 zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H214 zenon_H2dd zenon_H1d zenon_H248 zenon_H24a zenon_H2cf zenon_H2ce zenon_H2cd zenon_H16b zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H2ba zenon_H26 zenon_H123 zenon_Hd4 zenon_Hd6. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.97/1.15 apply (zenon_L52_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.15 apply (zenon_L88_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 0.97/1.15 apply (zenon_L672_); trivial. % 0.97/1.15 apply (zenon_L636_); trivial. % 0.97/1.15 apply (zenon_L94_); trivial. % 0.97/1.15 (* end of lemma zenon_L790_ *) % 0.97/1.15 assert (zenon_L791_ : ((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp9)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> (~(hskp3)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H25c zenon_H25d zenon_H3b zenon_H158 zenon_H159 zenon_H15a zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H28b zenon_H1. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.97/1.15 apply (zenon_L193_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H136 | zenon_intro zenon_H28c ]. % 0.97/1.15 apply (zenon_L512_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H157 | zenon_intro zenon_H3c ]. % 0.97/1.15 apply (zenon_L87_); trivial. % 0.97/1.15 exact (zenon_H3b zenon_H3c). % 0.97/1.15 exact (zenon_H1 zenon_H2). % 0.97/1.15 (* end of lemma zenon_L791_ *) % 0.97/1.15 assert (zenon_L792_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H261 zenon_H25d zenon_H1 zenon_H3b zenon_H28b zenon_Hd6 zenon_Hd4 zenon_H123 zenon_H26 zenon_H2ba zenon_H16c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H16b zenon_H2cd zenon_H2ce zenon_H2cf zenon_H24a zenon_H1d zenon_H2dd zenon_H214 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H17b zenon_H78. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.15 apply (zenon_L790_); trivial. % 0.97/1.15 apply (zenon_L791_); trivial. % 0.97/1.15 (* end of lemma zenon_L792_ *) % 0.97/1.15 assert (zenon_L793_ : ((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp3)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H25c zenon_H25d zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H1e0 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H98 zenon_H5 zenon_Hf3 zenon_H1. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.97/1.15 apply (zenon_L193_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 0.97/1.15 apply (zenon_L668_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 0.97/1.15 apply (zenon_L526_); trivial. % 0.97/1.15 apply (zenon_L40_); trivial. % 0.97/1.15 exact (zenon_H1 zenon_H2). % 0.97/1.15 (* end of lemma zenon_L793_ *) % 0.97/1.15 assert (zenon_L794_ : ((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp26)\/(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_Hbb zenon_H129 zenon_H7a zenon_H225 zenon_H78 zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H214 zenon_H2dd zenon_H24a zenon_H2cf zenon_H2ce zenon_H2cd zenon_H16b zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H2ba zenon_H26 zenon_H123 zenon_Hd6 zenon_Hf3 zenon_H98 zenon_H5 zenon_H1e0 zenon_H1 zenon_H25d zenon_H261 zenon_H209. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.15 apply (zenon_L790_); trivial. % 0.97/1.15 apply (zenon_L793_); trivial. % 0.97/1.15 apply (zenon_L162_); trivial. % 0.97/1.15 apply (zenon_L148_); trivial. % 0.97/1.15 apply (zenon_L685_); trivial. % 0.97/1.15 (* end of lemma zenon_L794_ *) % 0.97/1.15 assert (zenon_L795_ : ((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> (~(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (c2_1 (a1320)) -> (~(c1_1 (a1320))) -> (~(c0_1 (a1320))) -> (~(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp4)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp7)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H11e zenon_H1e7 zenon_Hd4 zenon_H151 zenon_Hc1 zenon_Hc0 zenon_Hbf zenon_H169 zenon_H16c zenon_H3 zenon_H158 zenon_H159 zenon_H15a zenon_H16b zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H5. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e8 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 0.97/1.15 apply (zenon_L87_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H82 | zenon_intro zenon_Hd5 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H52 | zenon_intro zenon_H152 ]. % 0.97/1.15 apply (zenon_L616_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_He9 | zenon_intro zenon_H4 ]. % 0.97/1.15 apply (zenon_L543_); trivial. % 0.97/1.15 exact (zenon_H3 zenon_H4). % 0.97/1.15 exact (zenon_Hd4 zenon_Hd5). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H6 ]. % 0.97/1.15 apply (zenon_L509_); trivial. % 0.97/1.15 exact (zenon_H5 zenon_H6). % 0.97/1.15 (* end of lemma zenon_L795_ *) % 0.97/1.15 assert (zenon_L796_ : ((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> (~(hskp4)) -> (~(c0_1 (a1320))) -> (~(c1_1 (a1320))) -> (c2_1 (a1320)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp7)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H131 zenon_H1e7 zenon_H3 zenon_Hbf zenon_Hc0 zenon_Hc1 zenon_H151 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H5. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e8 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H52 | zenon_intro zenon_H152 ]. % 0.97/1.15 apply (zenon_L616_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_He9 | zenon_intro zenon_H4 ]. % 0.97/1.15 apply (zenon_L59_); trivial. % 0.97/1.15 exact (zenon_H3 zenon_H4). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H6 ]. % 0.97/1.15 apply (zenon_L509_); trivial. % 0.97/1.15 exact (zenon_H5 zenon_H6). % 0.97/1.15 (* end of lemma zenon_L796_ *) % 0.97/1.15 assert (zenon_L797_ : ((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1309))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_Hca zenon_H129 zenon_H123 zenon_H1e7 zenon_H5 zenon_H151 zenon_H3 zenon_H2a7 zenon_H2a9 zenon_H2a8 zenon_H16c zenon_H16b zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H17b. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.15 apply (zenon_L88_); trivial. % 0.97/1.15 apply (zenon_L795_); trivial. % 0.97/1.15 apply (zenon_L94_); trivial. % 0.97/1.15 apply (zenon_L796_); trivial. % 0.97/1.15 (* end of lemma zenon_L797_ *) % 0.97/1.15 assert (zenon_L798_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c1_1 (a1339)) -> (~(c0_1 (a1339))) -> (~(c2_1 (a1339))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> (~(c2_1 (a1309))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H148 zenon_H13e zenon_H13c zenon_H8e zenon_Hf3 zenon_He4 zenon_Hdb zenon_Hdc zenon_H2a8 zenon_H2a9 zenon_H2a7 zenon_Hf5 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.97/1.15 apply (zenon_L512_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.97/1.15 apply (zenon_L77_); trivial. % 0.97/1.15 apply (zenon_L563_); trivial. % 0.97/1.15 (* end of lemma zenon_L798_ *) % 0.97/1.15 assert (zenon_L799_ : ((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp11)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp3)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H25c zenon_H25d zenon_H1f zenon_H182 zenon_H183 zenon_H184 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H18b zenon_H1. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.97/1.15 apply (zenon_L193_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H136 | zenon_intro zenon_H18c ]. % 0.97/1.15 apply (zenon_L512_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H181 | zenon_intro zenon_H20 ]. % 0.97/1.15 apply (zenon_L103_); trivial. % 0.97/1.15 exact (zenon_H1f zenon_H20). % 0.97/1.15 exact (zenon_H1 zenon_H2). % 0.97/1.15 (* end of lemma zenon_L799_ *) % 0.97/1.15 assert (zenon_L800_ : ((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp12)) -> ((hskp26)\/(hskp12)) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H18f zenon_H209 zenon_H1e0 zenon_H5 zenon_H77 zenon_H7a zenon_H225 zenon_H98 zenon_H78 zenon_H123 zenon_H26 zenon_H22 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H24a zenon_H2dd zenon_H214 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1f zenon_H18b zenon_Hd4 zenon_Hd6 zenon_H1 zenon_H25d zenon_H261 zenon_Hd9 zenon_H128. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.97/1.15 apply (zenon_L55_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.97/1.15 apply (zenon_L52_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.15 apply (zenon_L552_); trivial. % 0.97/1.15 apply (zenon_L673_); trivial. % 0.97/1.15 apply (zenon_L799_); trivial. % 0.97/1.15 apply (zenon_L162_); trivial. % 0.97/1.15 apply (zenon_L160_); trivial. % 0.97/1.15 apply (zenon_L148_); trivial. % 0.97/1.15 (* end of lemma zenon_L800_ *) % 0.97/1.15 assert (zenon_L801_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((hskp20)\/(hskp18)) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H128 zenon_Hd9 zenon_Hd6 zenon_Hd4 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H13c zenon_H13e zenon_H148 zenon_H1cf zenon_Hc8 zenon_H214 zenon_H123 zenon_H78 zenon_H77 zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.15 apply (zenon_L748_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 0.97/1.15 apply (zenon_L55_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 0.97/1.15 apply (zenon_L52_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H12. zenon_intro zenon_H3f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.15 apply (zenon_L515_); trivial. % 0.97/1.15 apply (zenon_L681_); trivial. % 0.97/1.15 apply (zenon_L344_); trivial. % 0.97/1.15 (* end of lemma zenon_L801_ *) % 0.97/1.15 assert (zenon_L802_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((hskp20)\/(hskp18)) -> ((hskp26)\/(hskp12)) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H128 zenon_Hd9 zenon_Hd6 zenon_Hd4 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H13c zenon_H13e zenon_H148 zenon_H1cf zenon_Hc8 zenon_H214 zenon_H123 zenon_H78 zenon_H77 zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.15 apply (zenon_L235_); trivial. % 0.97/1.15 apply (zenon_L801_); trivial. % 0.97/1.15 (* end of lemma zenon_L802_ *) % 0.97/1.15 assert (zenon_L803_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H128 zenon_H148 zenon_H19e zenon_H13c zenon_H13e zenon_H24a zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1 zenon_H25d zenon_H261 zenon_H26 zenon_H22 zenon_H1f zenon_H1fd zenon_H1fe zenon_H1ff zenon_H278 zenon_H7a zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H161 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.15 apply (zenon_L691_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.15 apply (zenon_L751_); trivial. % 0.97/1.15 apply (zenon_L785_); trivial. % 0.97/1.15 (* end of lemma zenon_L803_ *) % 0.97/1.15 assert (zenon_L804_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H128 zenon_H148 zenon_H19e zenon_H13c zenon_H13e zenon_H24a zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1 zenon_H25d zenon_H261 zenon_H26 zenon_H22 zenon_H1f zenon_H278 zenon_H7a zenon_H8c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H161 zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H11f zenon_H123 zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.15 apply (zenon_L235_); trivial. % 0.97/1.15 apply (zenon_L803_); trivial. % 0.97/1.15 (* end of lemma zenon_L804_ *) % 0.97/1.15 assert (zenon_L805_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (ndr1_0) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H129 zenon_H7a zenon_H18d zenon_H22 zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H12 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H98 zenon_H5 zenon_H1e0 zenon_H123 zenon_H18b zenon_H1f zenon_H16c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H16b zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H17b zenon_H192. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.15 apply (zenon_L669_); trivial. % 0.97/1.15 apply (zenon_L621_); trivial. % 0.97/1.15 apply (zenon_L730_); trivial. % 0.97/1.15 (* end of lemma zenon_L805_ *) % 0.97/1.15 assert (zenon_L806_ : ((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1333))) -> (~(c3_1 (a1333))) -> (c1_1 (a1333)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H25c zenon_H123 zenon_H25d zenon_H1 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H18d zenon_H1bc zenon_H1bd zenon_H1be zenon_H13c zenon_H13e zenon_H11c zenon_H11f zenon_H184 zenon_H183 zenon_H182 zenon_Hab zenon_Hac zenon_Had zenon_H148 zenon_H158 zenon_H159 zenon_H15a zenon_H161. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.15 apply (zenon_L88_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.97/1.15 apply (zenon_L193_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.97/1.15 apply (zenon_L512_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.97/1.15 apply (zenon_L756_); trivial. % 0.97/1.15 apply (zenon_L41_); trivial. % 0.97/1.15 exact (zenon_H1 zenon_H2). % 0.97/1.15 (* end of lemma zenon_L806_ *) % 0.97/1.15 assert (zenon_L807_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_Hb6 zenon_H7a zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H17b zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H16b zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H24a zenon_H13e zenon_H13c zenon_H19e zenon_H148 zenon_H123 zenon_H182 zenon_H183 zenon_H184 zenon_H11f zenon_H11c zenon_H1be zenon_H1bd zenon_H1bc zenon_H18d zenon_H1 zenon_H25d zenon_H261. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.15 apply (zenon_L630_); trivial. % 0.97/1.15 apply (zenon_L806_); trivial. % 0.97/1.15 apply (zenon_L705_); trivial. % 0.97/1.15 (* end of lemma zenon_L807_ *) % 0.97/1.15 assert (zenon_L808_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H7a zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H17b zenon_H161 zenon_H16b zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H24a zenon_H13e zenon_H13c zenon_H19e zenon_H148 zenon_H123 zenon_H11f zenon_H11c zenon_H1 zenon_H25d zenon_H261 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.15 apply (zenon_L370_); trivial. % 0.97/1.15 apply (zenon_L38_); trivial. % 0.97/1.15 apply (zenon_L807_); trivial. % 0.97/1.15 (* end of lemma zenon_L808_ *) % 0.97/1.15 assert (zenon_L809_ : ((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H206 zenon_H1d7 zenon_Hba zenon_H7a zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H17b zenon_H161 zenon_H16b zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H24a zenon_H13e zenon_H13c zenon_H19e zenon_H148 zenon_H123 zenon_H11f zenon_H11c zenon_H1 zenon_H25d zenon_H261 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1b5. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.15 apply (zenon_L235_); trivial. % 0.97/1.15 apply (zenon_L808_); trivial. % 0.97/1.15 (* end of lemma zenon_L809_ *) % 0.97/1.15 assert (zenon_L810_ : ((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c1_1 (a1312))) -> (~(c3_1 (a1312))) -> (c0_1 (a1312)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H124 zenon_H7a zenon_H123 zenon_H24a zenon_H17c zenon_H17e zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H148 zenon_H1a9 zenon_H1a0 zenon_H1a1 zenon_H1f9 zenon_H2e7 zenon_H1be zenon_H1bd zenon_H1bc zenon_H2cf zenon_H2ce zenon_H2cd zenon_H13c zenon_H13e zenon_H11c zenon_H11f zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1 zenon_H25d zenon_H261. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.15 apply (zenon_L377_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.15 apply (zenon_L88_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.97/1.15 apply (zenon_L193_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.97/1.15 apply (zenon_L512_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.97/1.15 apply (zenon_L707_); trivial. % 0.97/1.15 apply (zenon_L143_); trivial. % 0.97/1.15 exact (zenon_H1 zenon_H2). % 0.97/1.15 apply (zenon_L705_); trivial. % 0.97/1.15 (* end of lemma zenon_L810_ *) % 0.97/1.15 assert (zenon_L811_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> ((hskp20)\/(hskp18)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H9f zenon_H105 zenon_H104 zenon_H103 zenon_H77 zenon_H8c zenon_H8a zenon_Hd9 zenon_H261 zenon_H25d zenon_H1 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H11f zenon_H11c zenon_H13e zenon_H13c zenon_H2cd zenon_H2ce zenon_H2cf zenon_H1bc zenon_H1bd zenon_H1be zenon_H2e7 zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H148 zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H17e zenon_H17c zenon_H24a zenon_H123 zenon_H7a zenon_H128. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.15 apply (zenon_L266_); trivial. % 0.97/1.15 apply (zenon_L810_); trivial. % 0.97/1.15 apply (zenon_L387_); trivial. % 0.97/1.15 (* end of lemma zenon_L811_ *) % 0.97/1.15 assert (zenon_L812_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> (~(hskp14)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1d7 zenon_Hba zenon_H1fb zenon_H1f5 zenon_H128 zenon_H7a zenon_H123 zenon_H24a zenon_H17e zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H148 zenon_H2e7 zenon_H13c zenon_H13e zenon_H11c zenon_H11f zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1 zenon_H25d zenon_H261 zenon_Hd9 zenon_H8c zenon_H77 zenon_H103 zenon_H104 zenon_H105 zenon_H9f zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H12 zenon_H17c zenon_H1f9. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.15 apply (zenon_L698_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.15 apply (zenon_L811_); trivial. % 0.97/1.15 apply (zenon_L145_); trivial. % 0.97/1.15 (* end of lemma zenon_L812_ *) % 0.97/1.15 assert (zenon_L813_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H7a zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H17b zenon_H16b zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H24a zenon_H13e zenon_H13c zenon_H19e zenon_H148 zenon_H1 zenon_H25d zenon_H261 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H103 zenon_H104 zenon_H105 zenon_H11c zenon_H123 zenon_H9f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.15 apply (zenon_L734_); trivial. % 0.97/1.15 apply (zenon_L807_); trivial. % 0.97/1.15 (* end of lemma zenon_L813_ *) % 0.97/1.15 assert (zenon_L814_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(hskp14)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1d7 zenon_Hba zenon_H7a zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H17b zenon_H16b zenon_Hd4 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_H24a zenon_H13e zenon_H13c zenon_H19e zenon_H148 zenon_H1 zenon_H25d zenon_H261 zenon_H18d zenon_H8c zenon_H184 zenon_H183 zenon_H182 zenon_H15a zenon_H159 zenon_H158 zenon_H161 zenon_H11f zenon_H11c zenon_H123 zenon_H9f zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H1f5 zenon_H276. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.15 apply (zenon_L226_); trivial. % 0.97/1.15 apply (zenon_L813_); trivial. % 0.97/1.15 (* end of lemma zenon_L814_ *) % 0.97/1.15 assert (zenon_L815_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c1_1 (a1315))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> (ndr1_0) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H192 zenon_H276 zenon_H18d zenon_H19e zenon_H1d7 zenon_Hba zenon_H1fb zenon_H128 zenon_H7a zenon_H123 zenon_H24a zenon_H17e zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H148 zenon_H2e7 zenon_H13c zenon_H13e zenon_H11c zenon_H11f zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1 zenon_H25d zenon_H261 zenon_Hd9 zenon_H8c zenon_H77 zenon_H103 zenon_H104 zenon_H105 zenon_H9f zenon_H1b5 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H12 zenon_H1f9 zenon_H26 zenon_H2ba zenon_H16c zenon_Hd4 zenon_H16b zenon_H278 zenon_H80 zenon_H17b zenon_H209. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.15 apply (zenon_L812_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.15 apply (zenon_L235_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.15 apply (zenon_L637_); trivial. % 0.97/1.15 apply (zenon_L810_); trivial. % 0.97/1.15 apply (zenon_L387_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 0.97/1.15 apply (zenon_L814_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 0.97/1.15 apply (zenon_L235_); trivial. % 0.97/1.15 apply (zenon_L813_); trivial. % 0.97/1.15 (* end of lemma zenon_L815_ *) % 0.97/1.15 assert (zenon_L816_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1315)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1315))) -> (ndr1_0) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H11f zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_Hea zenon_Heb zenon_Hec zenon_Hf3 zenon_H11c zenon_H1be zenon_H1bd zenon_H1bc zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H13e zenon_Hda zenon_H13c zenon_H12 zenon_H10d zenon_H10f zenon_H110. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 0.97/1.15 apply (zenon_L699_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 0.97/1.15 apply (zenon_L223_); trivial. % 0.97/1.15 apply (zenon_L706_); trivial. % 0.97/1.15 (* end of lemma zenon_L816_ *) % 0.97/1.15 assert (zenon_L817_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a1324)) -> (c0_1 (a1324)) -> (~(c1_1 (a1324))) -> (c3_1 (a1325)) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp20)\/(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H128 zenon_H7a zenon_Hf3 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_Hec zenon_Heb zenon_Hea zenon_H19e zenon_H13c zenon_H13e zenon_H24a zenon_H161 zenon_H15a zenon_H159 zenon_H158 zenon_H148 zenon_H2e7 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H11c zenon_H11f zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1 zenon_H25d zenon_H123 zenon_H261 zenon_Hd9 zenon_H8c zenon_H77 zenon_H103 zenon_H104 zenon_H105 zenon_H9f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 0.97/1.15 apply (zenon_L266_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.15 apply (zenon_L217_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.15 apply (zenon_L88_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.97/1.15 apply (zenon_L193_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.97/1.15 apply (zenon_L512_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.97/1.15 apply (zenon_L816_); trivial. % 0.97/1.15 apply (zenon_L60_); trivial. % 0.97/1.15 exact (zenon_H1 zenon_H2). % 0.97/1.15 apply (zenon_L705_); trivial. % 0.97/1.15 apply (zenon_L753_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 0.97/1.15 apply (zenon_L217_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 0.97/1.15 apply (zenon_L88_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 0.97/1.15 apply (zenon_L193_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 0.97/1.15 apply (zenon_L512_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 0.97/1.15 apply (zenon_L816_); trivial. % 0.97/1.15 apply (zenon_L41_); trivial. % 0.97/1.15 exact (zenon_H1 zenon_H2). % 0.97/1.15 apply (zenon_L705_); trivial. % 0.97/1.15 (* end of lemma zenon_L817_ *) % 0.97/1.15 assert (zenon_L818_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (c3_1 (a1315)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1315))) -> (ndr1_0) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H11f zenon_H91 zenon_H90 zenon_H8f zenon_H11c zenon_H1be zenon_H1bd zenon_H1bc zenon_H42 zenon_H13e zenon_Hda zenon_H13c zenon_H12 zenon_H10d zenon_H10f zenon_H110. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H52 | zenon_intro zenon_H122 ]. % 1.01/1.15 apply (zenon_L371_); trivial. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H8e | zenon_intro zenon_H10e ]. % 1.01/1.15 apply (zenon_L36_); trivial. % 1.01/1.15 apply (zenon_L754_); trivial. % 1.01/1.15 (* end of lemma zenon_L818_ *) % 1.01/1.15 assert (zenon_L819_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (c1_1 (a1314)) -> (~(c3_1 (a1314))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1334)) -> (c2_1 (a1334)) -> (~(c0_1 (a1334))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> (c3_1 (a1315)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21)))))) -> (~(c0_1 (a1315))) -> (ndr1_0) -> (c0_1 (a1328)) -> (c2_1 (a1328)) -> (c3_1 (a1328)) -> False). % 1.01/1.15 do 0 intro. intros zenon_H18d zenon_H15a zenon_H159 zenon_H158 zenon_H184 zenon_H183 zenon_H182 zenon_H11f zenon_H91 zenon_H90 zenon_H8f zenon_H11c zenon_H1be zenon_H1bd zenon_H1bc zenon_H13e zenon_Hda zenon_H13c zenon_H12 zenon_H10d zenon_H10f zenon_H110. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H157 | zenon_intro zenon_H18e ]. % 1.01/1.15 apply (zenon_L87_); trivial. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H181 | zenon_intro zenon_H42 ]. % 1.01/1.15 apply (zenon_L103_); trivial. % 1.01/1.15 apply (zenon_L818_); trivial. % 1.01/1.15 (* end of lemma zenon_L819_ *) % 1.01/1.15 assert (zenon_L820_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> ((hskp20)\/(hskp18)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1314))) -> (~(c3_1 (a1314))) -> (c1_1 (a1314)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> (~(c1_1 (a1315))) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (c3_1 (a1325)) -> (~(c1_1 (a1324))) -> (c0_1 (a1324)) -> (c3_1 (a1324)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 1.01/1.15 do 0 intro. intros zenon_H9f zenon_H77 zenon_H8c zenon_H8a zenon_Hd9 zenon_H261 zenon_H123 zenon_H25d zenon_H1 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H18d zenon_H1bc zenon_H1bd zenon_H1be zenon_H11c zenon_H11f zenon_H184 zenon_H183 zenon_H182 zenon_H148 zenon_H158 zenon_H159 zenon_H15a zenon_H161 zenon_H24a zenon_H13e zenon_H13c zenon_H19e zenon_Hea zenon_Heb zenon_Hec zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Hf3 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H2e7 zenon_H7a zenon_H128. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 1.01/1.15 apply (zenon_L266_); trivial. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 1.01/1.15 apply (zenon_L217_); trivial. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 1.01/1.15 apply (zenon_L88_); trivial. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 1.01/1.15 apply (zenon_L193_); trivial. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H136 | zenon_intro zenon_H149 ]. % 1.01/1.15 apply (zenon_L512_); trivial. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hda | zenon_intro zenon_Haa ]. % 1.01/1.15 apply (zenon_L756_); trivial. % 1.01/1.15 apply (zenon_L60_); trivial. % 1.01/1.15 exact (zenon_H1 zenon_H2). % 1.01/1.15 apply (zenon_L705_); trivial. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 1.01/1.15 apply (zenon_L88_); trivial. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H12. zenon_intro zenon_H120. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H121. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H10f. zenon_intro zenon_H110. % 1.01/1.15 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 1.01/1.15 apply (zenon_L819_); trivial. % 1.01/1.15 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 1.01/1.15 apply (zenon_L59_); trivial. % 1.01/1.15 apply (zenon_L40_); trivial. % 1.01/1.15 (* end of lemma zenon_L820_ *) % 1.01/1.15 assert (zenon_L821_ : ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp6)) -> False). % 1.01/1.15 do 0 intro. intros zenon_H60 zenon_H294 zenon_H293 zenon_H292 zenon_Ha0 zenon_H12 zenon_H3b zenon_H5e. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H50 | zenon_intro zenon_H61 ]. % 1.01/1.15 apply (zenon_L465_); trivial. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3c | zenon_intro zenon_H5f ]. % 1.01/1.15 exact (zenon_H3b zenon_H3c). % 1.01/1.15 exact (zenon_H5e zenon_H5f). % 1.01/1.15 (* end of lemma zenon_L821_ *) % 1.01/1.15 assert (zenon_L822_ : ((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 1.01/1.15 do 0 intro. intros zenon_Hca zenon_H129 zenon_H1e7 zenon_H5 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H3 zenon_H151 zenon_Hd6 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78. % 1.01/1.15 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 1.01/1.15 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 1.01/1.15 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.15 apply (zenon_L760_); trivial. % 1.01/1.15 apply (zenon_L796_); trivial. % 1.01/1.15 (* end of lemma zenon_L822_ *) % 1.01/1.15 assert (zenon_L823_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 1.01/1.15 do 0 intro. intros zenon_H9f zenon_H9b zenon_H98 zenon_H2a zenon_H29 zenon_H28 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hf zenon_H80 zenon_H8a zenon_H8c zenon_H26 zenon_H77. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 1.01/1.15 apply (zenon_L771_); trivial. % 1.01/1.15 apply (zenon_L38_); trivial. % 1.01/1.15 (* end of lemma zenon_L823_ *) % 1.01/1.15 assert (zenon_L824_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 1.01/1.15 do 0 intro. intros zenon_Hba zenon_H1fb zenon_H17c zenon_H1f5 zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f. % 1.01/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.15 apply (zenon_L823_); trivial. % 1.01/1.15 apply (zenon_L145_); trivial. % 1.01/1.15 (* end of lemma zenon_L824_ *) % 1.01/1.15 assert (zenon_L825_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 1.01/1.15 do 0 intro. intros zenon_H9f zenon_H11f zenon_H105 zenon_H104 zenon_H103 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hf zenon_H80 zenon_H8a zenon_H8c zenon_H26 zenon_H77. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 1.01/1.15 apply (zenon_L771_); trivial. % 1.01/1.15 apply (zenon_L448_); trivial. % 1.01/1.15 (* end of lemma zenon_L825_ *) % 1.01/1.15 assert (zenon_L826_ : ((ndr1_0)/\((c3_1 (a1315))/\((~(c0_1 (a1315)))/\(~(c1_1 (a1315)))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> False). % 1.01/1.15 do 0 intro. intros zenon_H19b zenon_H156 zenon_H127 zenon_H11f zenon_H129 zenon_H192 zenon_H18b zenon_H22 zenon_H225 zenon_H7a zenon_Hba zenon_H1fb zenon_H77 zenon_H26 zenon_H8c zenon_H80 zenon_Hf zenon_H9b zenon_H9f zenon_H128 zenon_Hd9 zenon_H123 zenon_H16c zenon_H148 zenon_H101 zenon_H278 zenon_H17b zenon_H209 zenon_Hd6 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_Hf3 zenon_Hb9 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1e7. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.15 apply (zenon_L510_); trivial. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.15 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.15 apply (zenon_L760_); trivial. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.15 apply (zenon_L824_); trivial. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.01/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.15 apply (zenon_L823_); trivial. % 1.01/1.15 apply (zenon_L519_); trivial. % 1.01/1.15 apply (zenon_L523_); trivial. % 1.01/1.15 apply (zenon_L783_); trivial. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.15 apply (zenon_L760_); trivial. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 1.01/1.15 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.15 apply (zenon_L825_); trivial. % 1.01/1.15 apply (zenon_L654_); trivial. % 1.01/1.15 (* end of lemma zenon_L826_ *) % 1.01/1.15 assert (zenon_L827_ : ((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> False). % 1.01/1.15 do 0 intro. intros zenon_Hb6 zenon_H9f zenon_H77 zenon_H17b zenon_H225 zenon_H1f5 zenon_H9b zenon_H98 zenon_H101 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H13c zenon_H13e zenon_H148 zenon_H2a zenon_H29 zenon_H28 zenon_H16c zenon_Heb zenon_Hea zenon_Hec zenon_H80 zenon_H182 zenon_H183 zenon_H184 zenon_H1f zenon_H18b zenon_H123 zenon_Hd9 zenon_H128. % 1.01/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 1.01/1.15 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 1.01/1.15 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 1.01/1.15 apply (zenon_L55_); trivial. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H12. zenon_intro zenon_H74. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H6a. zenon_intro zenon_H75. % 1.01/1.15 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H6b. zenon_intro zenon_H69. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 1.01/1.15 apply (zenon_L522_); trivial. % 1.01/1.15 apply (zenon_L481_); trivial. % 1.01/1.15 apply (zenon_L160_); trivial. % 1.01/1.15 apply (zenon_L207_); trivial. % 1.01/1.15 (* end of lemma zenon_L827_ *) % 1.01/1.15 assert (zenon_L828_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> (~(c3_1 (a1331))) -> (c1_1 (a1331)) -> (c2_1 (a1331)) -> (~(hskp17)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> False). % 1.01/1.15 do 0 intro. intros zenon_H77 zenon_H8c zenon_H8a zenon_H17b zenon_H26 zenon_H161 zenon_H1bc zenon_H1bd zenon_H1be zenon_H7e zenon_H80 zenon_Hf zenon_H16c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Heb zenon_Hea zenon_Hec zenon_H182 zenon_H183 zenon_H184 zenon_H1f zenon_H18b zenon_H123 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 1.01/1.15 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 1.01/1.15 apply (zenon_L176_); trivial. % 1.01/1.15 apply (zenon_L521_); trivial. % 1.01/1.15 apply (zenon_L181_); trivial. % 1.01/1.15 apply (zenon_L759_); trivial. % 1.01/1.16 apply (zenon_L34_); trivial. % 1.01/1.16 (* end of lemma zenon_L828_ *) % 1.01/1.16 assert (zenon_L829_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c0_1 (a1316))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H9f zenon_H9b zenon_H98 zenon_H2a zenon_H29 zenon_H28 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H123 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_Hec zenon_Hea zenon_Heb zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_Hf zenon_H80 zenon_H1be zenon_H1bd zenon_H1bc zenon_H161 zenon_H26 zenon_H17b zenon_H8a zenon_H8c zenon_H77. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 1.01/1.16 apply (zenon_L828_); trivial. % 1.01/1.16 apply (zenon_L38_); trivial. % 1.01/1.16 (* end of lemma zenon_L829_ *) % 1.01/1.16 assert (zenon_L830_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> (~(c0_1 (a1316))) -> (~(c2_1 (a1316))) -> (~(c3_1 (a1316))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H1fd zenon_H1fe zenon_H1ff zenon_H278 zenon_H148 zenon_H13e zenon_H13c zenon_H128 zenon_H77 zenon_H8c zenon_H17b zenon_H26 zenon_H161 zenon_H80 zenon_Hf zenon_H16c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Heb zenon_Hea zenon_Hec zenon_H182 zenon_H183 zenon_H184 zenon_H1f zenon_H18b zenon_H123 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_H28 zenon_H29 zenon_H2a zenon_H98 zenon_H9b zenon_H9f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.16 apply (zenon_L829_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H169 | zenon_intro zenon_H178 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hff | zenon_intro zenon_H11e ]. % 1.01/1.16 apply (zenon_L237_); trivial. % 1.01/1.16 apply (zenon_L521_); trivial. % 1.01/1.16 apply (zenon_L302_); trivial. % 1.01/1.16 apply (zenon_L344_); trivial. % 1.01/1.16 apply (zenon_L38_); trivial. % 1.01/1.16 (* end of lemma zenon_L830_ *) % 1.01/1.16 assert (zenon_L831_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1319)) -> (~(c3_1 (a1319))) -> (~(c0_1 (a1319))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c1_1 (a1326))) -> (c3_1 (a1325)) -> (~(c0_1 (a1325))) -> (c1_1 (a1325)) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> (c2_1 (a1331)) -> (c1_1 (a1331)) -> (~(c3_1 (a1331))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H9f zenon_H11f zenon_H105 zenon_H104 zenon_H103 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_H123 zenon_H18b zenon_H1f zenon_H184 zenon_H183 zenon_H182 zenon_Hec zenon_Hea zenon_Heb zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H16c zenon_Hf zenon_H80 zenon_H1be zenon_H1bd zenon_H1bc zenon_H161 zenon_H26 zenon_H17b zenon_H8a zenon_H8c zenon_H77. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 1.01/1.16 apply (zenon_L828_); trivial. % 1.01/1.16 apply (zenon_L448_); trivial. % 1.01/1.16 (* end of lemma zenon_L831_ *) % 1.01/1.16 assert (zenon_L832_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H148 zenon_H13c zenon_H13e zenon_H101 zenon_Hd9 zenon_H128 zenon_H77 zenon_H8c zenon_H17b zenon_H26 zenon_H161 zenon_H80 zenon_Hf zenon_H16c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Heb zenon_Hea zenon_Hec zenon_H182 zenon_H183 zenon_H184 zenon_H1f zenon_H18b zenon_H123 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_H103 zenon_H104 zenon_H105 zenon_H11f zenon_H9f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.16 apply (zenon_L831_); trivial. % 1.01/1.16 apply (zenon_L657_); trivial. % 1.01/1.16 (* end of lemma zenon_L832_ *) % 1.01/1.16 assert (zenon_L833_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> (ndr1_0) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> (~(hskp14)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H1d7 zenon_Hba zenon_H148 zenon_H13c zenon_H13e zenon_H101 zenon_Hd9 zenon_H128 zenon_H77 zenon_H8c zenon_H17b zenon_H26 zenon_H161 zenon_H80 zenon_Hf zenon_H16c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Heb zenon_Hea zenon_Hec zenon_H182 zenon_H183 zenon_H184 zenon_H1f zenon_H18b zenon_H123 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_H11f zenon_H9f zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H1f5 zenon_H276. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L226_); trivial. % 1.01/1.16 apply (zenon_L832_); trivial. % 1.01/1.16 (* end of lemma zenon_L833_ *) % 1.01/1.16 assert (zenon_L834_ : ((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> (~(c1_1 (a1330))) -> (~(c2_1 (a1330))) -> (c0_1 (a1330)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> (c3_1 (a1315)) -> (~(c0_1 (a1315))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> (c1_1 (a1325)) -> (~(c0_1 (a1325))) -> (c3_1 (a1325)) -> (~(c1_1 (a1326))) -> (~(c2_1 (a1326))) -> (~(c3_1 (a1326))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> (~(c0_1 (a1319))) -> (~(c3_1 (a1319))) -> (c2_1 (a1319)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H1d3 zenon_Hba zenon_H1fd zenon_H1fe zenon_H1ff zenon_H278 zenon_H13e zenon_H13c zenon_H148 zenon_H128 zenon_H77 zenon_H8c zenon_H17b zenon_H26 zenon_H161 zenon_H80 zenon_Hf zenon_H16c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Heb zenon_Hea zenon_Hec zenon_H182 zenon_H183 zenon_H184 zenon_H1f zenon_H18b zenon_H123 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_H103 zenon_H104 zenon_H105 zenon_H11f zenon_H9f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.16 apply (zenon_L831_); trivial. % 1.01/1.16 apply (zenon_L655_); trivial. % 1.01/1.16 (* end of lemma zenon_L834_ *) % 1.01/1.16 assert (zenon_L835_ : ((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a1311)) -> (c0_1 (a1311)) -> (~(c1_1 (a1311))) -> (c3_1 (a1308)) -> (~(c2_1 (a1308))) -> (~(c1_1 (a1308))) -> ((hskp26)\/(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> (~(c0_1 (a1315))) -> (c3_1 (a1315)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((hskp20)\/(hskp18)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> (c3_1 (a1309)) -> (c1_1 (a1309)) -> (~(c2_1 (a1309))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H12b zenon_Hb9 zenon_Hf3 zenon_H78 zenon_H214 zenon_H294 zenon_H293 zenon_H292 zenon_H2cf zenon_H2ce zenon_H2cd zenon_Hd6 zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H13c zenon_H13e zenon_H11f zenon_H1d7 zenon_Hba zenon_H148 zenon_H101 zenon_Hd9 zenon_H128 zenon_H77 zenon_H8c zenon_H17b zenon_H26 zenon_H161 zenon_H80 zenon_Hf zenon_H16c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H18b zenon_H123 zenon_H9f zenon_H276 zenon_H1b5 zenon_H278 zenon_H209 zenon_H192 zenon_H129. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L760_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L464_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_L833_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L235_); trivial. % 1.01/1.16 apply (zenon_L834_); trivial. % 1.01/1.16 apply (zenon_L781_); trivial. % 1.01/1.16 (* end of lemma zenon_L835_ *) % 1.01/1.16 assert (zenon_L836_ : ((ndr1_0)/\((c3_1 (a1315))/\((~(c0_1 (a1315)))/\(~(c1_1 (a1315)))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((hskp20)\/(hskp18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (c0_1 (a1312)) -> (~(c3_1 (a1312))) -> (~(c1_1 (a1312))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((hskp26)\/(hskp12)) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> (~(c1_1 (a1311))) -> (c0_1 (a1311)) -> (c2_1 (a1311)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> (~(c2_1 (a1309))) -> (c1_1 (a1309)) -> (c3_1 (a1309)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H19b zenon_H156 zenon_H127 zenon_H11f zenon_H276 zenon_H129 zenon_H192 zenon_H209 zenon_H1d7 zenon_H278 zenon_H26 zenon_H161 zenon_Hf zenon_H1b5 zenon_H9f zenon_H77 zenon_H8c zenon_Hd9 zenon_H18b zenon_H128 zenon_H123 zenon_H80 zenon_H16c zenon_H148 zenon_H101 zenon_H225 zenon_H17b zenon_Hba zenon_H1f9 zenon_H1a1 zenon_H1a0 zenon_H1a9 zenon_H9b zenon_Hd6 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H292 zenon_H293 zenon_H294 zenon_H214 zenon_H78 zenon_Hf3 zenon_Hb9 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1e7. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_L510_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L760_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L331_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.16 apply (zenon_L347_); trivial. % 1.01/1.16 apply (zenon_L827_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L235_); trivial. % 1.01/1.16 apply (zenon_L830_); trivial. % 1.01/1.16 apply (zenon_L783_); trivial. % 1.01/1.16 apply (zenon_L835_); trivial. % 1.01/1.16 (* end of lemma zenon_L836_ *) % 1.01/1.16 assert (zenon_L837_ : ((~(hskp2))\/((ndr1_0)/\((c1_1 (a1309))/\((c3_1 (a1309))/\(~(c2_1 (a1309))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp28))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((~(hskp4))\/((ndr1_0)/\((c0_1 (a1312))/\((~(c1_1 (a1312)))/\(~(c3_1 (a1312))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp9))) -> ((hskp20)\/(hskp18)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp13))) -> (~(c1_1 (a1308))) -> (~(c2_1 (a1308))) -> (c3_1 (a1308)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp8)\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1339))/\((~(c0_1 (a1339)))/\(~(c2_1 (a1339))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a1359)))/\((~(c1_1 (a1359)))/\(~(c3_1 (a1359))))))) -> ((hskp30)\/((hskp2)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp29))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((hskp28)\/((hskp25)\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp30)\/(hskp18))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1372))/\((c1_1 (a1372))/\(c3_1 (a1372)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a1394))/\((c2_1 (a1394))/\(~(c3_1 (a1394))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1330))/\((~(c1_1 (a1330)))/\(~(c2_1 (a1330))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp22)\/(hskp2))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c3_1 X33)\/(~(c0_1 X33))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c3_1 X65)\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1331))/\((c2_1 (a1331))/\(~(c3_1 (a1331))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((hskp14)\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp14)\/(hskp13))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((c2_1 X54)\/(~(c0_1 X54))))))\/((hskp29)\/(hskp18))) -> ((~(hskp6))\/((ndr1_0)/\((c3_1 (a1315))/\((~(c0_1 (a1315)))/\(~(c1_1 (a1315))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp4)\/(hskp2))) -> ((hskp3)\/((hskp4)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1320))/\((~(c0_1 (a1320)))/\(~(c1_1 (a1320))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp5)\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1348))/\((c2_1 (a1348))/\(~(c0_1 (a1348))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1411))/\((~(c2_1 (a1411)))/\(~(c3_1 (a1411))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp9))) -> ((hskp26)\/((hskp29)\/(hskp20))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp22)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1338))/\((c2_1 (a1338))/\(c3_1 (a1338)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp20)\/(hskp24))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((hskp9)\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a1370))/\((~(c1_1 (a1370)))/\(~(c3_1 (a1370))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1356))/\((c1_1 (a1356))/\(~(c3_1 (a1356))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1334))/\((c3_1 (a1334))/\(~(c0_1 (a1334))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp16)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a1333))/\((~(c2_1 (a1333)))/\(~(c3_1 (a1333))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1324))/\((c3_1 (a1324))/\(~(c1_1 (a1324))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1325))/\((c3_1 (a1325))/\(~(c0_1 (a1325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c3_1 X12)\/(~(c2_1 X12))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp4))) -> ((hskp26)\/(hskp12)) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a1319))/\((~(c0_1 (a1319)))/\(~(c3_1 (a1319))))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1316)))/\((~(c2_1 (a1316)))/\(~(c3_1 (a1316))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((hskp10)\/(hskp6))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1326)))/\((~(c2_1 (a1326)))/\(~(c3_1 (a1326))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1328))/\((c2_1 (a1328))/\(c3_1 (a1328)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1307))/\((c1_1 (a1307))/\(c2_1 (a1307)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1321))/\((c3_1 (a1321))/\(~(c2_1 (a1321))))))) -> ((~(hskp5))\/((ndr1_0)/\((c1_1 (a1314))/\((~(c0_1 (a1314)))/\(~(c3_1 (a1314))))))) -> ((~(hskp3))\/((ndr1_0)/\((c0_1 (a1311))/\((c2_1 (a1311))/\(~(c1_1 (a1311))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H2e9 zenon_H1e7 zenon_H101 zenon_H2ba zenon_H27a zenon_H2a2 zenon_H28b zenon_Hd9 zenon_H246 zenon_H1f9 zenon_H2cd zenon_H2ce zenon_H2cf zenon_H1e0 zenon_H128 zenon_H261 zenon_H1b9 zenon_H25d zenon_H24a zenon_H2dd zenon_H214 zenon_H20c zenon_H21f zenon_H27c zenon_H1d4 zenon_H224 zenon_H225 zenon_H209 zenon_H22f zenon_H1b5 zenon_H2e7 zenon_H1cf zenon_H1d7 zenon_Hf3 zenon_H11c zenon_H11f zenon_H276 zenon_H1fb zenon_H278 zenon_H19f zenon_H148 zenon_H134 zenon_H14f zenon_H7 zenon_Hcf zenon_Hcb zenon_H77 zenon_H73 zenon_H78 zenon_H3e zenon_Hf zenon_H22 zenon_H26 zenon_H4e zenon_H60 zenon_H63 zenon_H79 zenon_H7a zenon_H9f zenon_H9b zenon_H80 zenon_H8c zenon_Hb4 zenon_Hba zenon_Hb9 zenon_H129 zenon_H151 zenon_Hd6 zenon_H127 zenon_H156 zenon_Hd2 zenon_H192 zenon_H18d zenon_H18b zenon_H17e zenon_H123 zenon_H16b zenon_H16c zenon_H161 zenon_H17b zenon_H12a zenon_H2a3 zenon_H2c9. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H14d | zenon_intro zenon_H2ea ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H1 | zenon_intro zenon_H2ca ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H3 | zenon_intro zenon_H2a4 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H28d ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 1.01/1.16 apply (zenon_L508_); trivial. % 1.01/1.16 apply (zenon_L116_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H12. zenon_intro zenon_H28e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H15a. zenon_intro zenon_H28f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.01/1.16 apply (zenon_L117_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H12. zenon_intro zenon_H2a5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H1a1. zenon_intro zenon_H2a6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a9. zenon_intro zenon_H1a0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H28d ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_L687_); trivial. % 1.01/1.16 apply (zenon_L696_); trivial. % 1.01/1.16 apply (zenon_L704_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_L687_); trivial. % 1.01/1.16 apply (zenon_L720_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L53_); trivial. % 1.01/1.16 apply (zenon_L721_); trivial. % 1.01/1.16 apply (zenon_L440_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L331_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L351_); trivial. % 1.01/1.16 apply (zenon_L683_); trivial. % 1.01/1.16 apply (zenon_L684_); trivial. % 1.01/1.16 apply (zenon_L721_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L686_); trivial. % 1.01/1.16 apply (zenon_L345_); trivial. % 1.01/1.16 apply (zenon_L720_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H12. zenon_intro zenon_H28e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H15a. zenon_intro zenon_H28f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_L726_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L669_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L727_); trivial. % 1.01/1.16 apply (zenon_L729_); trivial. % 1.01/1.16 apply (zenon_L148_); trivial. % 1.01/1.16 apply (zenon_L730_); trivial. % 1.01/1.16 apply (zenon_L731_); trivial. % 1.01/1.16 apply (zenon_L737_); trivial. % 1.01/1.16 apply (zenon_L738_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_L726_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L669_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L727_); trivial. % 1.01/1.16 apply (zenon_L742_); trivial. % 1.01/1.16 apply (zenon_L148_); trivial. % 1.01/1.16 apply (zenon_L730_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L669_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L382_); trivial. % 1.01/1.16 apply (zenon_L742_); trivial. % 1.01/1.16 apply (zenon_L148_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_L744_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L235_); trivial. % 1.01/1.16 apply (zenon_L743_); trivial. % 1.01/1.16 apply (zenon_L747_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_L441_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L331_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.16 apply (zenon_L347_); trivial. % 1.01/1.16 apply (zenon_L367_); trivial. % 1.01/1.16 apply (zenon_L749_); trivial. % 1.01/1.16 apply (zenon_L750_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L331_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L382_); trivial. % 1.01/1.16 apply (zenon_L749_); trivial. % 1.01/1.16 apply (zenon_L750_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L53_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_L712_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L235_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.16 apply (zenon_L691_); trivial. % 1.01/1.16 apply (zenon_L752_); trivial. % 1.01/1.16 apply (zenon_L716_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L53_); trivial. % 1.01/1.16 apply (zenon_L758_); trivial. % 1.01/1.16 apply (zenon_L747_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H293. zenon_intro zenon_H2cc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H294. zenon_intro zenon_H292. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H3 | zenon_intro zenon_H2a4 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H28d ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_L763_); trivial. % 1.01/1.16 apply (zenon_L452_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_L763_); trivial. % 1.01/1.16 apply (zenon_L764_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H12. zenon_intro zenon_H28e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H15a. zenon_intro zenon_H28f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_L766_); trivial. % 1.01/1.16 apply (zenon_L770_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_L766_); trivial. % 1.01/1.16 apply (zenon_L764_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H12. zenon_intro zenon_H2a5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H1a1. zenon_intro zenon_H2a6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a9. zenon_intro zenon_H1a0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 1.01/1.16 apply (zenon_L779_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_L780_); trivial. % 1.01/1.16 apply (zenon_L782_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L760_); trivial. % 1.01/1.16 apply (zenon_L721_); trivial. % 1.01/1.16 apply (zenon_L783_); trivial. % 1.01/1.16 apply (zenon_L782_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H12. zenon_intro zenon_H2eb. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2a8. zenon_intro zenon_H2ec. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2a9. zenon_intro zenon_H2a7. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H1 | zenon_intro zenon_H2ca ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H3 | zenon_intro zenon_H2a4 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H28d ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 1.01/1.16 apply (zenon_L508_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_L510_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_L525_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_L787_); trivial. % 1.01/1.16 apply (zenon_L592_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_L787_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_L789_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 1.01/1.16 apply (zenon_L73_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 1.01/1.16 apply (zenon_L534_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 1.01/1.16 apply (zenon_L528_); trivial. % 1.01/1.16 apply (zenon_L602_); trivial. % 1.01/1.16 apply (zenon_L297_); trivial. % 1.01/1.16 apply (zenon_L603_); trivial. % 1.01/1.16 apply (zenon_L591_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H12. zenon_intro zenon_H28e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H15a. zenon_intro zenon_H28f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 1.01/1.16 apply (zenon_L792_); trivial. % 1.01/1.16 apply (zenon_L162_); trivial. % 1.01/1.16 apply (zenon_L148_); trivial. % 1.01/1.16 apply (zenon_L419_); trivial. % 1.01/1.16 apply (zenon_L794_); trivial. % 1.01/1.16 apply (zenon_L797_); trivial. % 1.01/1.16 apply (zenon_L545_); trivial. % 1.01/1.16 apply (zenon_L546_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_L510_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_L511_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.16 apply (zenon_L109_); trivial. % 1.01/1.16 apply (zenon_L639_); trivial. % 1.01/1.16 apply (zenon_L621_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L520_); trivial. % 1.01/1.16 apply (zenon_L106_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L638_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 1.01/1.16 apply (zenon_L266_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 1.01/1.16 apply (zenon_L365_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H25f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H255. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H23d | zenon_intro zenon_H260 ]. % 1.01/1.16 apply (zenon_L193_); trivial. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H27 | zenon_intro zenon_H9e ]. % 1.01/1.16 apply (zenon_L15_); trivial. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8e | zenon_intro zenon_H99 ]. % 1.01/1.16 apply (zenon_L798_); trivial. % 1.01/1.16 exact (zenon_H98 zenon_H99). % 1.01/1.16 exact (zenon_H1 zenon_H2). % 1.01/1.16 apply (zenon_L105_); trivial. % 1.01/1.16 apply (zenon_L38_); trivial. % 1.01/1.16 apply (zenon_L631_); trivial. % 1.01/1.16 apply (zenon_L345_); trivial. % 1.01/1.16 apply (zenon_L545_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H12. zenon_intro zenon_H2a5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H1a1. zenon_intro zenon_H2a6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a9. zenon_intro zenon_H1a0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H28d ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L669_); trivial. % 1.01/1.16 apply (zenon_L800_); trivial. % 1.01/1.16 apply (zenon_L679_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 1.01/1.16 apply (zenon_L381_); trivial. % 1.01/1.16 apply (zenon_L793_); trivial. % 1.01/1.16 apply (zenon_L162_); trivial. % 1.01/1.16 apply (zenon_L683_); trivial. % 1.01/1.16 apply (zenon_L148_); trivial. % 1.01/1.16 apply (zenon_L685_); trivial. % 1.01/1.16 apply (zenon_L696_); trivial. % 1.01/1.16 apply (zenon_L704_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_L510_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_L577_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L331_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L651_); trivial. % 1.01/1.16 apply (zenon_L801_); trivial. % 1.01/1.16 apply (zenon_L802_); trivial. % 1.01/1.16 apply (zenon_L576_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L382_); trivial. % 1.01/1.16 apply (zenon_L801_); trivial. % 1.01/1.16 apply (zenon_L802_); trivial. % 1.01/1.16 apply (zenon_L345_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_L786_); trivial. % 1.01/1.16 apply (zenon_L804_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_L712_); trivial. % 1.01/1.16 apply (zenon_L804_); trivial. % 1.01/1.16 apply (zenon_L716_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_L789_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L235_); trivial. % 1.01/1.16 apply (zenon_L788_); trivial. % 1.01/1.16 apply (zenon_L591_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H12. zenon_intro zenon_H28e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H15a. zenon_intro zenon_H28f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_L805_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L669_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 1.01/1.16 apply (zenon_L381_); trivial. % 1.01/1.16 apply (zenon_L791_); trivial. % 1.01/1.16 apply (zenon_L162_); trivial. % 1.01/1.16 apply (zenon_L729_); trivial. % 1.01/1.16 apply (zenon_L148_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_L805_); trivial. % 1.01/1.16 apply (zenon_L731_); trivial. % 1.01/1.16 apply (zenon_L737_); trivial. % 1.01/1.16 apply (zenon_L738_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_L510_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_L633_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_L632_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L331_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L382_); trivial. % 1.01/1.16 apply (zenon_L808_); trivial. % 1.01/1.16 apply (zenon_L809_); trivial. % 1.01/1.16 apply (zenon_L345_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L815_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_L812_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1ff. zenon_intro zenon_H208. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L235_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.16 apply (zenon_L811_); trivial. % 1.01/1.16 apply (zenon_L752_); trivial. % 1.01/1.16 apply (zenon_L106_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L815_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L698_); trivial. % 1.01/1.16 apply (zenon_L817_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L702_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.16 apply (zenon_L820_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Had. zenon_intro zenon_Hb8. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hab. zenon_intro zenon_Hac. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H248 | zenon_intro zenon_H25c ]. % 1.01/1.16 apply (zenon_L217_); trivial. % 1.01/1.16 apply (zenon_L806_); trivial. % 1.01/1.16 apply (zenon_L105_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H293. zenon_intro zenon_H2cc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H294. zenon_intro zenon_H292. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H3 | zenon_intro zenon_H2a4 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L760_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hda | zenon_intro zenon_Hf4 ]. % 1.01/1.16 apply (zenon_L668_); trivial. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Ha0 ]. % 1.01/1.16 apply (zenon_L59_); trivial. % 1.01/1.16 apply (zenon_L821_); trivial. % 1.01/1.16 apply (zenon_L822_); trivial. % 1.01/1.16 apply (zenon_L762_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 1.01/1.16 apply (zenon_L50_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Hd | zenon_intro zenon_H72 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H3d ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hb | zenon_intro zenon_H21 ]. % 1.01/1.16 apply (zenon_L8_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H27 | zenon_intro zenon_H76 ]. % 1.01/1.16 apply (zenon_L15_); trivial. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H68 | zenon_intro zenon_H5f ]. % 1.01/1.16 apply (zenon_L30_); trivial. % 1.01/1.16 exact (zenon_H5e zenon_H5f). % 1.01/1.16 apply (zenon_L759_); trivial. % 1.01/1.16 apply (zenon_L139_); trivial. % 1.01/1.16 apply (zenon_L38_); trivial. % 1.01/1.16 apply (zenon_L701_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.16 apply (zenon_L823_); trivial. % 1.01/1.16 apply (zenon_L43_); trivial. % 1.01/1.16 apply (zenon_L762_); trivial. % 1.01/1.16 apply (zenon_L826_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H12. zenon_intro zenon_H2a5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H1a1. zenon_intro zenon_H2a6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a9. zenon_intro zenon_H1a0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 1.01/1.16 apply (zenon_L779_); trivial. % 1.01/1.16 apply (zenon_L836_); trivial. % 1.01/1.16 (* end of lemma zenon_L837_ *) % 1.01/1.16 apply NNPP. intro zenon_G. % 1.01/1.16 apply zenon_G. zenon_intro zenon_H2ed. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2ef. zenon_intro zenon_H2ee. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H2f1. zenon_intro zenon_H2f0. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H2e9. zenon_intro zenon_H2f2. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2c9. zenon_intro zenon_H2f3. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2a2. zenon_intro zenon_H2f4. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2a3. zenon_intro zenon_H2f5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H19f. zenon_intro zenon_H2f6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H156. zenon_intro zenon_H2f7. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H127. zenon_intro zenon_H2f8. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_Hcf. zenon_intro zenon_H2f9. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H12a. zenon_intro zenon_H2fa. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_Hb9. zenon_intro zenon_H2fb. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H129. zenon_intro zenon_H2fc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H192. zenon_intro zenon_H2fd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H209. zenon_intro zenon_H2fe. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H1d7. zenon_intro zenon_H2ff. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_Hba. zenon_intro zenon_H300. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H9f. zenon_intro zenon_H301. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H128. zenon_intro zenon_H302. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H304. zenon_intro zenon_H303. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H77. zenon_intro zenon_H305. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H307. zenon_intro zenon_H306. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H7a. zenon_intro zenon_H308. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H261. zenon_intro zenon_H309. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H79. zenon_intro zenon_H30a. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H224. zenon_intro zenon_H30b. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H78. zenon_intro zenon_H30c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H17b. zenon_intro zenon_H30d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H123. zenon_intro zenon_H30e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H26. zenon_intro zenon_H30f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H1d4. zenon_intro zenon_H310. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H312. zenon_intro zenon_H311. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H314. zenon_intro zenon_H313. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H316. zenon_intro zenon_H315. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H318. zenon_intro zenon_H317. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H246. zenon_intro zenon_H319. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H25d. zenon_intro zenon_H31a. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H14f. zenon_intro zenon_H31b. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_Hcb. zenon_intro zenon_H31c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H1e7. zenon_intro zenon_H31d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H63. zenon_intro zenon_H31e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H73. zenon_intro zenon_H31f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H9b. zenon_intro zenon_H320. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H3e. zenon_intro zenon_H321. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_Hd2. zenon_intro zenon_H322. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H148. zenon_intro zenon_H323. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H28b. zenon_intro zenon_H324. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H18b. zenon_intro zenon_H325. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H2ba. zenon_intro zenon_H326. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_Hf3. zenon_intro zenon_H327. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H1f9. zenon_intro zenon_H328. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H18d. zenon_intro zenon_H329. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H16b. zenon_intro zenon_H32a. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H161. zenon_intro zenon_H32b. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H151. zenon_intro zenon_H32c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H11f. zenon_intro zenon_H32d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H11c. zenon_intro zenon_H32e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H276. zenon_intro zenon_H32f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H101. zenon_intro zenon_H330. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H8c. zenon_intro zenon_H331. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H333. zenon_intro zenon_H332. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H1b5. zenon_intro zenon_H334. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H336. zenon_intro zenon_H335. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H278. zenon_intro zenon_H337. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H1e0. zenon_intro zenon_H338. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H214. zenon_intro zenon_H339. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H2e7. zenon_intro zenon_H33a. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H33c. zenon_intro zenon_H33b. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33e. zenon_intro zenon_H33d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H1de. zenon_intro zenon_H33f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H341. zenon_intro zenon_H340. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H343. zenon_intro zenon_H342. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H345. zenon_intro zenon_H344. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_Hb4. zenon_intro zenon_H346. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H16c. zenon_intro zenon_H347. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H22f. zenon_intro zenon_H348. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H24a. zenon_intro zenon_H349. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H27a. zenon_intro zenon_H34a. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H134. zenon_intro zenon_H34b. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H1f7. zenon_intro zenon_H34c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H1fb. zenon_intro zenon_H34d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H225. zenon_intro zenon_H34e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H4e. zenon_intro zenon_H34f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H27c. zenon_intro zenon_H350. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H21f. zenon_intro zenon_H351. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H353. zenon_intro zenon_H352. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H60. zenon_intro zenon_H354. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H1cf. zenon_intro zenon_H355. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H80. zenon_intro zenon_H356. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H17e. zenon_intro zenon_H357. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H2dd. zenon_intro zenon_H358. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H22. zenon_intro zenon_H359. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H35b. zenon_intro zenon_H35a. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1b9. zenon_intro zenon_H35c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H35e. zenon_intro zenon_H35d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H20c. zenon_intro zenon_H35f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H361. zenon_intro zenon_H360. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H7. zenon_intro zenon_H362. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H364. zenon_intro zenon_H363. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H366. zenon_intro zenon_H365. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H290. zenon_intro zenon_H367. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_Hf. zenon_intro zenon_H368. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_Hd6. zenon_intro zenon_H369. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_Hd9. zenon_intro zenon_H36a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H1dc | zenon_intro zenon_H36b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H14d | zenon_intro zenon_H2ea ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H1 | zenon_intro zenon_H2ca ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H3 | zenon_intro zenon_H2a4 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H28d ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_L4_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 1.01/1.16 apply (zenon_L71_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 1.01/1.16 apply (zenon_L86_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H12. zenon_intro zenon_H28e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H15a. zenon_intro zenon_H28f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.01/1.16 apply (zenon_L117_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H12. zenon_intro zenon_H2a5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H1a1. zenon_intro zenon_H2a6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a9. zenon_intro zenon_H1a0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H28d ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H5e | zenon_intro zenon_H19b ]. % 1.01/1.16 apply (zenon_L129_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H12. zenon_intro zenon_H19c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H13e. zenon_intro zenon_H19d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H13c. zenon_intro zenon_H19e. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H5 | zenon_intro zenon_H153 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_L138_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 1.01/1.16 apply (zenon_L134_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L149_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L136_); trivial. % 1.01/1.16 apply (zenon_L161_); trivial. % 1.01/1.16 apply (zenon_L148_); trivial. % 1.01/1.16 apply (zenon_L165_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L149_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L169_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H7e | zenon_intro zenon_H9a ]. % 1.01/1.16 apply (zenon_L188_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H90. zenon_intro zenon_H9d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H91. zenon_intro zenon_H8f. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 1.01/1.16 apply (zenon_L159_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H12. zenon_intro zenon_H125. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_He4. zenon_intro zenon_H126. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 1.01/1.16 apply (zenon_L195_); trivial. % 1.01/1.16 apply (zenon_L199_); trivial. % 1.01/1.16 apply (zenon_L208_); trivial. % 1.01/1.16 apply (zenon_L148_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L215_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L169_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1bd. zenon_intro zenon_H1d6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1be. zenon_intro zenon_H1bc. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb6 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H124 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 1.01/1.16 apply (zenon_L218_); trivial. % 1.01/1.16 apply (zenon_L221_); trivial. % 1.01/1.16 apply (zenon_L222_); trivial. % 1.01/1.16 apply (zenon_L225_); trivial. % 1.01/1.16 apply (zenon_L148_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L244_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_L245_); trivial. % 1.01/1.16 apply (zenon_L263_); trivial. % 1.01/1.16 apply (zenon_L265_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L274_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_L245_); trivial. % 1.01/1.16 apply (zenon_L276_); trivial. % 1.01/1.16 apply (zenon_L286_); trivial. % 1.01/1.16 apply (zenon_L137_); trivial. % 1.01/1.16 apply (zenon_L330_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H28. zenon_intro zenon_H155. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H29. zenon_intro zenon_H2a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H98 | zenon_intro zenon_H12b ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L53_); trivial. % 1.01/1.16 apply (zenon_L79_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc1. zenon_intro zenon_Hcd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 1.01/1.16 apply (zenon_L346_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_L331_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H12. zenon_intro zenon_H190. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H182. zenon_intro zenon_H191. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H183. zenon_intro zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L351_); trivial. % 1.01/1.16 apply (zenon_L353_); trivial. % 1.01/1.16 apply (zenon_L354_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1d3 ]. % 1.01/1.16 apply (zenon_L169_); trivial. % 1.01/1.16 apply (zenon_L353_); trivial. % 1.01/1.16 apply (zenon_L356_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H105. zenon_intro zenon_H12d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H12e ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L53_); trivial. % 1.01/1.16 apply (zenon_L265_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L53_); trivial. % 1.01/1.16 apply (zenon_L286_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H12. zenon_intro zenon_H12f. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hf7. zenon_intro zenon_H130. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_Hf8. zenon_intro zenon_Hf6. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H1f | zenon_intro zenon_Hbb ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L53_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Heb. zenon_intro zenon_H133. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hec. zenon_intro zenon_Hea. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H17c | zenon_intro zenon_H18f ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H206 ]. % 1.01/1.16 apply (zenon_L146_); trivial. % 1.01/1.16 apply (zenon_L357_); trivial. % 1.01/1.16 apply (zenon_L319_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H12. zenon_intro zenon_Hbc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Ha2. zenon_intro zenon_Hbd. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H131 ]. % 1.01/1.16 apply (zenon_L325_); trivial. % 1.01/1.16 apply (zenon_L286_); trivial. % 1.01/1.16 apply (zenon_L330_); trivial. % 1.01/1.16 apply (zenon_L444_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H293. zenon_intro zenon_H2cc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H294. zenon_intro zenon_H292. % 1.01/1.16 apply (zenon_L507_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H12. zenon_intro zenon_H2eb. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2a8. zenon_intro zenon_H2ec. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2a9. zenon_intro zenon_H2a7. % 1.01/1.16 apply (zenon_L666_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H12. zenon_intro zenon_H36c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H2cf. zenon_intro zenon_H36d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H2cd. zenon_intro zenon_H2ce. % 1.01/1.16 apply (zenon_L837_); trivial. % 1.01/1.16 Qed. % 1.01/1.16 % SZS output end Proof % 1.01/1.16 (* END-PROOF *) % 1.01/1.16 nodes searched: 33364 % 1.01/1.16 max branch formulas: 469 % 1.01/1.16 proof nodes created: 5361 % 1.01/1.16 formulas created: 39649 % 1.01/1.16 %------------------------------------------------------------------------------